People have only walked on the Moon, where twelve astronauts have set foot during the Apollo missions between 1969 and 1972. No other planets have been physically explored by humans.
Explanation:The only planet that people have walked on is Earth's moon. Human exploration of other celestial bodies is quite limited. The United States' Apollo 11 mission was the first to land humans on the Moon, and a total of twelve astronauts have walked on its surface during the Apollo missions that took place between 1969 and 1972. Since then, no human has set foot on any other planet or celestial body.
What are wind and water erosion not likely to affect
Answer:
Wind and water erosion are least likely to affect igneous sills and cooled lava flows
Explanation:
Limestone basalt and quartzite are also unlikely to undergo erosion or weathering, as are sandstone and chert. Soil and soft rocks such as clays erode very quickly without protection.
When 4.00 kJ of energy is transferred as heat to nitrogen in a cylinder fitted with a piston at an external pressure of 3.00 atm, the nitrogen gas expands from 1.00 to 4.00 L against this constant pressure. What is U for the process?
1. -4.91 kJ
2. -0.912 kJ
3. +3.09 kJ
4. 0
5. +4.91 k
Answer:
3. +3.09 kJ
Explanation:
The change in internal energy of the gas is given by the 1st law of thermodynamics:
[tex]\Delta U=Q-W[/tex]
where
Q is the heat transferred to the gas
W is the work done by the gas
Here we have:
[tex]Q=+4.00 kJ[/tex] is the amount of heat transferred to the nitrogen
[tex]p=3.00 atm = 3.03\cdot 10^5 Pa[/tex] is the pressure of the gas
[tex]\Delta V=4.00 L-1.00 L=3.00 L = 0.003 m^3[/tex] is the change in volume of the gas
So the work done by the gas is
[tex]W=p\Delta V=(3.03\cdot 10^5 Pa)(0.003 m^3)=909 J = 0.91 kJ[/tex]
So, the change in internal energy of the gas is
[tex]\Delta U=4.00 kJ-0.91 kJ=+3.09 kJ[/tex]
Planet with an atmosphere that rains sulfuric acid
Answer:
Venus
Explanation:
Venus is the second plate in the solar system. It is a terrestrial planet and it is part of the inner rocky planets.
In Venus, it rains sulfuric acid but the rain never reaches the surface before it becomes evaporated. The acid forms from the combination of sulfur oxide and water in the atmosphere at a height of about 42km. As it condenses and falls, it becomes evaporated back at lower elevations. The surface is therefore protected from the sulfuric acid rain.
The sulfur oxide and water vapor must have been derived from volcanic activities in geologic times past.
A double-slit diffraction pattern is formed on a distant screen. If the separation between the slits decreases, what happens to the distance between interference fringes? Assume the angles involved remain small.The distance between interference fringes remains the same.The effect cannot be determined unless the distance between the slits and the screen is known.The distance between interference fringes also decreases.The distance between interference fringes increases.
Answer:
The distance between interference fringes increases.
Explanation:
In a double-slit diffraction pattern, the angular position of the nth-maximum in the diffraction patter (measured with respect to the central maximum) is given by
[tex]sin \theta = \frac{n \lambda}{d}[/tex]
where
[tex]\theta[/tex] is the angular position
[tex]\lambda[/tex] is the wavelength
d is the separation between the slits
In this problem, the separation between the slits decreases: this means that d in the formula decreases. As we see, the value of [tex]sin \theta[/tex] (and so, also [tex]\theta[/tex]) is inversely proportional to d: so, if the d decreases, then the angular separation between the fringes increases.
So, the correct answer is
The distance between interference fringes increases.
Which statement correctly explains molecular motion in different states of matter using the kinetic theory?
Molecules move slowest in solids, faster in liquids, and fastest in gases. Moving molecules store kinetic energy, so
molecules in a gas state have less energy than those
molecules in a liquid or solid state.
Molecules move slowest in solids, faster in liquids, and fastest in gases. Moving molecules store kinetic energy, so molecules in a solid state have less energy than those
molecules in a liquid or gas state.
Molecules move slowest in gases, faster in liquids, and fastest in solids. Moving molecules store kinetic energy, so molecules in a gas state have less energy than those molecules in a liquid or solid state.
Molecules move slowest in liquids, faster in gases, and fastest in solids. Moving molecules store kinetic energy, so molecules in a liquid state have less energy than those molecules in a gas or solid state.
the answer is the second one
A type of energy embodied in oscillating electric and magnetic fields is called
Answer: Electromagnetic radiation
Explanation:
Electromagnetic radiation is a combination of oscillating electric and magnetic fields, which propagate through space carrying energy from one place to another.
To understand it better:
This radiation is spread thanks to the electromagnetic fields produced by moving electric charges and their sources can be natural or man-made.
It should be noted that the energy of electromagnetic radiation can vary and depending on its frequency it can be useful for various situations.
two heating coils one made of thin wire and the other of thick wire, same material, same length are connected one by one to the same source. which coil will produce more heat? justify
Heat in a form of magnetic field energy can be calculated using: [tex]E_m = \frac{LI^2}{2}[/tex] where L is induction: [tex]L=\frac{\mu_0N^2A}{d}[/tex] and I electric current. The number of wraps N around coil is conditioned by the length of coil and thickness of wire. The more thick the wire the less wraps of wire around the coil while length will not change anything because it is the same. So if you make less wraps around the coil and construct the formula: [tex]E_m=\frac{\frac{\mu_0N^2A}{d}\cdot I^2}{2}[/tex] and simplify it to: [tex]E_m=\frac{\mu_0N^2AI^2}{2d}[/tex] which would mean that when your wire is thinner you produce more heat because you can make more wraps around the coil.
Hope this helps.
r3t40
Why did thomson’s results from experimenting with cathode rays cause a big change in scientific thought about atoms?
Answer:
Explanation:
Before Thomson's discovery, atoms were believed according to the "Dalton's atomic theory" to be the smallest indivisible particle of any matter. This makes atoms the smallest unit of a matter.
Thomson in 1897, used the discharge tube to discover cathode rays which are today called electrons.
The discovery of electrons provided more light into the structure and nature of atoms. Atoms were now being seen in a different light as particles that are made up of other smaller sized particles.
Thomson through his experiment was able determine perfectly well the nature of the rays he saw emanating from the cathode. One of his findings shows that the rays are negatively charged and are repelled by negative charges.
The discovery of electrons further led to more works on the atom and other particles were discovered. Atoms were no longer seen as indivisible or the smallest particles of matter.
An electromagnetic wave of frequency 2.30 × 10^14 Hz propagates in carbon tetrachloride with a speed of 2.05 x 10^8 m/s. What is the wavelength of the wave in carbon tetrachloride? Show all work and include units of measure.
The index of refraction for water at 20° C is 1.333 and the index of refraction for air at 20° C is 1.00293. Find the angle of refraction for a ray of light that enters a bucket of water from air at an angle of 30.0° to the normal. Show all work and provide units of measure.
1. [tex]8.91\cdot 10^{-7} m[/tex]
The wavelength of a wave is given by the formula
[tex]\lambda=\frac{v}{f}[/tex]
where
v is the speed of the wave
f is the frequency
For the electromagnetic wave in this problem,
[tex]f=2.30\cdot 10^{14}Hz[/tex] is the frequency
[tex]v=2.05\cdot 10^8 m/s[/tex] is the speed of the wave
Substituting into the equation, we find
[tex]\lambda=\frac{2.05\cdot 10^8 m/s}{2.30\cdot 10^{14}Hz}=8.91\cdot 10^{-7} m[/tex]
2. [tex]22.1^{\circ}[/tex]
The angle of refraction can be found by using Snell's law:
[tex]n_i sin \theta_i = n_r sin \theta_r[/tex]
where
[tex]n_i = 1.00293[/tex] is the refractive index of the first medium (air)
[tex]n_r = 1.333[/tex] is the refractive index of the second medium (water)
[tex]\theta_i = 30.0^{\circ}[/tex] is the angle of incidence in air
Solving the equation for [tex]\theta_r[/tex], we find the angle of refraction of the light ray in water:
[tex]\theta_r = sin^{-1} (\frac{n_i sin \theta_i}{n_r})=sin^{-1} (\frac{(1.00293)(sin 30^{\circ})}{1.333})=22.1^{\circ}[/tex]
Which simple experiment could be conducted to show an example of how lightning is created? A) Rub a balloon so it picks up extra electrons from the sweater or your hair and becomes slightly negatively charged. B) Rub a balloon filled with air on a wool sweater or on your hair. Then hold it up to a wall. C) Connect the positive pole of an electrical source to the negative pole, so you create a circuit. D) Walk across a carpet, shuffling your feet and touching something made of metal.
I think the answer is d
A solid metal ball and a hollow plastic ball of the same external radius are released from rest in a large vacuum chamber. When each has fallen 1m, they both have the same 1.inertia.2.change in potential energy.3.momentum.4.kinetic energy.5.speed
Answer:
5. Speed
Explanation:
Any object in free fall in a vacuum has the same acceleration towards the ground, called acceleration of gravity:
g = 9.8 m/s^2
This means that the speed of an object in free-fall is always given by the equation
v = u +gt (1)
where u is the initial speed and t is the time.
In this case, both balls start from rest (u=0). Since they have same acceleration, they will cover the same distance, 1 m, in the same time t: this means that according to (1), they will also have same speed.
All the other options listed are wrong since they all depend on the mass of the object, and in this case the two objects have different mass.
An organ tuner is comparing the fundamental pitch from a certain closed-end organ pipe that is 59.9 cm long
to the sound from an electronic signal generator set to a pitch of 151 Hz. The pipe is located in an
environment in which the speed of sound is 346 m/s. How many beats per second will the organ tuner hear?
Answer:
6.6 beats per second
Explanation:
For a closed-end pipe, the fundamental frequency is given by
[tex]f_1 = \frac{v}{4 L}[/tex]
where
v is the speed of sound
L is the length of the pipe
Here we have
v = 346 m/s
L = 59.9 cm = 0.599 m
So the fundamental frequency is
[tex]f_1 = \frac{346 m/s}{4\cdot 0.599 m}=144.4 Hz[/tex]
The frequency of the signal generator is
[tex]f_2 = 151 Hz[/tex]
So the beat frequency is given by the absolute value of the difference between the two frequencies:
[tex]f_b = |f_1 -f_2|=|144.4 Hz-151 Hz|=6.6 Hz[/tex]
which means that 6.6 beats per second are heard.
Final answer:
To find the beats per second heard by the organ tuner, calculate the fundamental frequency of the organ pipe and then find the difference between this frequency and 151 Hz, which is the pitch from the electronic signal generator.
Explanation:
To calculate the number of beats per second the organ tuner will hear when comparing the pitch from the organ pipe to the electronic signal generator, we must first determine the fundamental frequency produced by the closed-end organ pipe. Given the length of the organ pipe (59.9 cm or 0.599 m) and the speed of sound (346 m/s), we can use the formula for the fundamental frequency of a closed-end pipe, which is f = v / (4L). Therefore, the calculated frequency is f = 346 m/s / (4 × 0.599 m).
Once we have the frequency from the organ pipe, we can find the difference between this frequency and the frequency from the electronic signal generator (151 Hz) to find the number of beats per second (beats/sec = |f₁ - f₂|). The result will give us the beat frequency the organ tuner hears.
A plane mirror of circular shape with radius r=20cm is fixed to the ceiling. A bulb is to be placed on the axis of the mirror. A circular area of r=1m on the floor is to be illuminated after reflection of light from mirror.The height of the room is 3m.What is maximum distance from the centre of the mirror and the bulb so that the required area is illuminated?
Answer:
0.75 m
Explanation:
Let's call the distance between the bulb and the mirror x.
The bulb and the length of the mirror form a triangle. The mirror and the illuminated area on the floor form a trapezoid. If we extend the lines from the mirror edge to the reflected image of the bulb, we turn that trapezoid into a large triangle. This triangle and the small triangle are similar. So we can say:
x / 0.4 = (3 + x) / 2
Solving for x:
2x = 0.4 (3 + x)
2x = 1.2 + 0.4 x
1.6 x = 1.2
x = 0.75
So the bulb should located no more than 0.75 m from the mirror.
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Choose all statements that are true about a GFCI outlet.
A. GFCI outlets prevent house fires.
B. GFCI outlets are found in wet areas.
C. GFCI outlets prevent electrocution if you are touching a wet appliance.
D. GFCI outlets are found in dry areas.
Answer:
They are found in wet and dry areas
Explanation:
not all house fires can be prevented.
GFCI outlets are found in wet areas and prevent electrocution if you touch a wet appliance. They work by comparing the currents in the wires and interrupt the circuit if a leakage current is detected. They do not specifically prevent house fires and can be found in dry areas, but are especially needed in wet areas.
Explanation:The true statements about a GFCI (Ground Fault Circuit Interrupter) outlet are: B. GFCI outlets are found in wet areas such as kitchens and bathrooms, and C. GFCI outlets prevent electrocution if you are touching a wet appliance. A GFCI outlet compares the current in the live/hot and the neutral wires, triggering an interrupt if any leakage current is detected, such as when a person is accidentally creating a path for the current by touching a wet appliance.
This prevents electrical shock. Statement A is not entirely accurate because GFCI outlets are more about preventing electric shock than house fires. Statement D is misleading as GFCI outlets can be found anywhere but are specifically important in wet areas where the risk of accidental grounding through a person is higher.
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Two small identical conducting spheres are placed with their centers 0.41 m apart. One is given a charge of 12 ✕ 10−9 C, the other a charge of −23 ✕ 10−9 C. (a) Find the electrostatic force exerted on one sphere by the other. magnitude 1.48e-5 Correct: Your answer is correct. N direction attractive Correct: Your answer is correct. (b) The spheres are connected by a conducting wire. Find the electrostatic force between the two after equilibrium is reached, where both spheres have the same charge.
(a) [tex]-1.48\cdot 10^{-5}N[/tex]
The electrostatic force exerted between the two sphere is given by:
[tex]F=k\frac{q_1 q_2}{r^2}[/tex]
where
k is the Coulomb's constant
q1, q2 are the charges on the two spheres
r is the separation between the centres of the two spheres
In this problem,
[tex]q_1 = 12\cdot 10^{-9} C\\q_2 = -23\cdot 10^{-9} C\\r = 0.41 m[/tex]
Substituting these values into the equation, we find the force
[tex]F=(9\cdot 10^9 Nm^2 C^{-2} )\frac{(12\cdot 10^{-9}C)(-23\cdot 10^{-9} C)}{(0.41 m)^2}=-1.48\cdot 10^{-5}N[/tex]
And the negative sign means the force is attractive, since the two spheres have charges of opposite sign.
(b) [tex]+1.62\cdot 10^{-6}N[/tex]
The total net charge over the two sphere is:
[tex]Q=q_1 +q_2 = 12\cdot 10^{-9}C+(-23\cdot 10^{-9}C)=-11\cdot 10^{-9} C[/tex]
When the two spheres are connected, the charge distribute equally over the two spheres (since they are identical, they have same capacitance), so each sphere will have a charge of
[tex]q=\frac{Q}{2}=\frac{-11\cdot 10^{-9}C}{2}=-5.5\cdot 10^{-9}C[/tex]
So the electrostatic force between the two spheres will now be
[tex]F=k\frac{q^2}{r^2}[/tex]
And substituting numbers, we find
[tex]F=(9\cdot 10^9 Nm^2 C^{-2} )\frac{(-5.5\cdot 10^{-9} C)^2}{(0.41 m)^2}=+1.62\cdot 10^{-6}N[/tex]
and the positive sign means the force is repulsive, since the two spheres have same sign charges.
The final charge on each sphere after contact will be −4 nC, which reflects the even distribution of the combined charges initially present on both spheres.
Explanation:When two charged metal conducting spheres are brought into contact, their charges redistribute evenly between them because they are identical. This is because the total charge is conserved, and it will be shared equally when the two spheres touch.
If sphere A has a charge of −5 nC (nanoCoulombs) and sphere B has a charge of −3 nC, after they touch, they will both have the same charge. We calculate the final charge on each by adding the charges together and then dividing by two, which gives us (−5 nC + −3 nC)/2 = −4 nC on each sphere. The −4 nC corresponds to a specific number of electrons, where the charge of one electron is ≎1.6×10−19 C.
When was the international space station launched
20.november1998 im pretty sure
What are the three subatomic particles that make up an atom
Answer:
Proton, neutron, electron
Explanation:
The atom consists of a nucleus, where almost all the mass is concentrated, and electrons orbiting around the nucleus.
The nucleus consists of two types of particles:
- Proton: it has a mass of [tex]1.6726\cdot 10^{-27} kg[/tex], and a positive electric charge of +e ([tex]1.6\cdot 10^{-19}C[/tex])
- Neutron: it has a mass of [tex]1.6749 \cdot 10^{-27}kg[/tex], and it has no electric charge
The third particle that makes an atom is the electron, that orbit around the nucleus:
- Electron: it has a mass of [tex]9.1094\cdot 10^{-31}kg[/tex], and it has a negative electric charge of -e ([tex]-1.6\cdot 10^{-19}C[/tex])
Answer:
proton neutron electron
Explanation:
A car moving with an initial speed v collides with a second stationary car that is one-half as massive. After the collision the first car moves in the same direction as before with a speed v/3.(a) Find the final speed of the second car.(b) Is this collision elastic or inelastic?
(a) [tex]\frac{4}{3}v[/tex]
Let's write the law of conservation of momentum for the collision:
[tex]m_A u_A + m_B u_B = m_A v_A + m_B v_B[/tex] (1)
where u refers to the initial velocities and v refers to the velocity after the collision.
The problem gives us the following information:
- car B is one-half as massive as car A, so we can write:
[tex]m_A = 2m\\m_B = m[/tex]
- car B is initiall stationary:
[tex]u_B=0[/tex]
- After the collision, car A moves in the same direction as before with a speed v/3:
[tex]u_A = v\\v_A = \frac{1}{3}u_A=\frac{1}{3}v[/tex]
So we can rewrite (1) as
[tex](2m) v = (2m) \frac{v}{3}+mv_B[/tex]
and solving for [tex]v_B[/tex], we find the final speed of car B:
[tex]v_B = \frac{6v-2v}{3}=\frac{4}{3}v[/tex]
(b) Elastic
To find if the collision is elastic or inelastic, we have to check if the total kinetic energy has been conserved or not.
The total kinetic energy before the collision is:
[tex]K_i = \frac{1}{2}m_A u_A^2 = \frac{1}{2}(2m)(v)^2=mv^2[/tex]
The total kinetic energy after the collision is:
[tex]K_f = \frac{1}{2}m_A v_A^2 + \frac{1}{2}m_B v_B^2=\frac{1}{2}(2m)(\frac{v}{3})^2+\frac{1}{2}m(\frac{4}{3}v)^2=\frac{1}{9}mv^2+\frac{8}{9}mv^2=mv^2[/tex]
The total kinetic energy has been conserved: so, the collision is elastic.
Applying the law of conservation of momentum to the collision leads to finding the second car's final speed as 4v/3. This is an inelastic collision, as kinetic energy is not conserved.
Explanation:The scenario presented involves the concept of momentum conservation. The total momentum before the collision equals the total momentum after the collision. Before the collision, the stationary car, having a mass equal to half of the moving car and no velocity, has zero momentum. The moving car has initial momentum equal to its mass (m) times its velocity (v).
After the collision, the first car's final momentum is m*(v/3), and the second car's final momentum is its mass (m/2) times its unknown final velocity (v2). By setting the total initial momentum equal to the total final momentum, we find v2 = 4v/3.
To answer the second part, this is an inelastic collision, because in this type of collision, energy is not conserved even though momentum is conserved. The first car loses speed, meaning it loses kinetic energy, which is not fully gained by the second car.
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The top five contributing risk factors to fatal crashes in Texas are: speeding, driving under the influence, failure to control speed, failure to drive in a single lane, and ___________.
Answer:
running and not stopping at traffic lights and stop signs
Explanation:
Stopping the vehicle at traffic lights and stop signs are most important to avid any accidents or collisions. Traffic lights and signs are meant to control the traffic and avoid any collision. It allows and helps to pass the vehicles to drive away safely. But not following the traffic signs and not stopping at the traffic lights can lead to fatal accidents and serious injuries. This is very dangerous and must be avoided.
The top five contributing risk factors to fatal crashes in Texas are: speeding, driving under the influence, failure to control speed, failure to drive in a single lane, and distraction or inattention.
To understand why this is the correct answer, one must consider the common risk factors that contribute to fatal crashes not only in Texas but in many other places as well. The top five contributing risk factors to fatal crashes often include:
1. Speeding: Exceeding the speed limit or driving too fast for conditions is a major contributing factor to fatal crashes. Speeding reduces the driver's ability to react to sudden changes in the road environment and increases the severity of a crash.
2. Driving Under the Influence: Operating a vehicle under the influence of alcohol or drugs impairs a driver's judgment, coordination, and reaction time, leading to a higher risk of accidents, including fatal ones.
3. Failure to Control Speed: This is related to speeding but focuses on the driver's inability to adjust their speed to the traffic, road conditions, or weather, leading to loss of vehicle control and crashes.
4. Failure to Drive in a Single Lane: This risk factor includes behaviors such as weaving in and out of traffic, drifting out of one's lane, or making unsafe lane changes, which can result in head-on collisions or sideswipe accidents.
5. Distraction or Inattention: Distracted driving involves any activity that diverts a driver's attention from the primary task of driving. This includes texting, talking on the phone, eating, drinking, talking to passengers, or any other form of distraction. Inattention can also be due to daydreaming or simply not paying enough attention to the road and surrounding conditions.
These five risk factors are frequently cited in traffic safety reports and studies as the leading causes of fatal crashes. Distraction or inattention is particularly notable because it encompasses a wide range of behaviors that can take a driver's focus away from the task of driving, thus increasing the likelihood of a fatal crash."
This is a machine that converts electrical energy into mechanical energy.
Motor
Explanation:A motor is a machine that converts electrical energy into mechanical energy. In motors, electric energy is converted into mechanic energy when a magnetic torque acts on a conductor that carries a current. There are different types of motors like DC and AC motors. The moving part of a motor is called the rotor while the stationary part is called stator
The correct option is a.
An electric motor is the device that converts electrical energy into mechanical energy. It does this by passing current through loops of wire in a magnetic field, which turns a shaft converting electricity into mechanical work.
Explanation:The device which converts electrical energy into mechanical energy is known as the Electric Motor. Blanketed by a magnetic field, an electric motor is composed of loops of wire. When current is passed through these loops, the magnetic field exerts a rotational force or torque on them, rotating a shaft. This process transforms the electrical energy into mechanical work. Generators, on the other hand, work in the opposite direction, converting mechanical energy into electrical energy by moving a conductor coil in a changing magnetic field. Transformers change the voltage of an electrical supply but do not convert between electrical and mechanical energy. The Battery stores energy through chemical means and can provide electrical energy, but does not convert between mechanical and electrical energy directly.
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The complete question is here:
The device which is used for converting electrical energy into mechanical energy is called:
A. Electric motor
B. Dynamo
C. Transformer
D. Battery
A vehicle sinks into soft ground. The vehicle is changed so that it does not sink as far.
Which change is made?
A) a lower centre of mass
B) a more powerful engine
C) wheels that are further apart
D) wider tyres
I'm pretty that the answer would be D.
If 10.0 liters of oxygen at stp are heated to 512 °c, what will be the new volume of gas if the pressure is also increased to 1520.0 mm of mercury?
Answer:
14.4 L
Explanation:
Initially, the gas is at stp (standard conditions), which means
[tex]T_1 = 273 K\\p_1= 1.01 \cdot 10^5 Pa[/tex]
and its initial volume is
[tex]V_1 = 10 L = 0.010 m^2[/tex]
Later, the gas is heated to a final temperature of
[tex]T_2=512 C + 273 =785 K[/tex]
and the pressure is increased to
[tex]p_2 = 1520.0 mmHg \cdot \frac{1.01\cdot 10^5 Pa}{760 mmHg}=2.02\cdot 10^5 Pa[/tex]
So we can use the ideal gas equation to find the new volume, V2:
[tex]\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}\\V_2 = \frac{p_1 V_1 T_2}{p_2 T_1}=\frac{(1.01\cdot 10^5 Pa)(0.010 L)(785 K)}{(2.02\cdot 10^5 Pa)(273 K)}=0.0144 m^2 = 14.4 L[/tex]
If 10.0 liters of oxygen at STP are heated to 512 °C and its pressure increased to 1520.0 mmHg, the new volume will be 14.4 L.
10.0 L (V₁) of oxygen is at standard temperature (T₁ = 273.15 K) and standard pressure (P₁ = 760.0 mmHg).
It is heated to 512 °C (T₂) and the pressure increased to 1520.0 mmHg (P₂). We will convert 512 °C to Kelvin using the following expression.
[tex]K = \° C + 273.15 = 512\° C + 273.15 = 785 K[/tex]
Then, we can calculate the new volume (V₂) using the combined gas law.
[tex]\frac{P_1 \times V_1 }{T_1} = \frac{P_2 \times V_2 }{T_2} \\\\V_2 = \frac{P_1 \times V_1 \times T_2 }{T_1 \times P_2} = \frac{760.0 mmHg \times 10.0 L \times 785 K }{273.15 K \times 1520.0 mmHg} = 14.4 L[/tex]
If 10.0 liters of oxygen at STP are heated to 512 °C and its pressure increased to 1520.0 mmHg, the new volume will be 14.4 L.
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A 2.0-cm-diameter parallel-plate capacitor with a spacing of 0.50 mm is charged to 200 V?What is the total energy stores in the electic field?U=______ JWhat is the energy densityu=________J/m^3
1) [tex]1.11\cdot 10^{-7} J[/tex]
The capacitance of a parallel-plate capacitor is given by:
[tex]C=\frac{\epsilon_0 A}{d}[/tex]
where
[tex]\epsilon_0[/tex] is the vacuum permittivity
A is the area of each plate
d is the distance between the plates
Here, the radius of each plate is
[tex]r=\frac{2.0 cm}{2}=1.0 cm=0.01 m[/tex]
so the area is
[tex]A=\pi r^2 = \pi (0.01 m)^2=3.14\cdot 10^{-4} m^2[/tex]
While the separation between the plates is
[tex]d=0.50 mm=5\cdot 10^{-4} m[/tex]
So the capacitance is
[tex]C=\frac{(8.85\cdot 10^{-12} F/m)(3.14\cdot 10^{-4} m^2)}{5\cdot 10^{-4} m}=5.56\cdot 10^{-12} F[/tex]
And now we can find the energy stored,which is given by:
[tex]U=\frac{1}{2}CV^2=\frac{1}{2}(5.56\cdot 10^{-12} F/m)(200 V)^2=1.11\cdot 10^{-7} J[/tex]
2) 0.71 J/m^3
The magnitude of the electric field is given by
[tex]E=\frac{V}{d}=\frac{200 V}{5\cdot 10^{-4} m}=4\cdot 10^5 V/m[/tex]
and the energy density of the electric field is given by
[tex]u=\frac{1}{2}\epsilon_0 E^2[/tex]
and using
[tex]E=4\cdot 10^5 V/m[/tex], we find
[tex]u=\frac{1}{2}(8.85\cdot 10^{-12} F/m)(4\cdot 10^5 V/m)^2=0.71 J/m^3[/tex]
The energy released by a nuclear reaction results primarily from the
Answer:
conversion of mass into energy
Explanation:
A rocket travels vertically at a speed of 800 km/hr. the rocket is tracked through a telescope by an observer located 13 km from the launching pad. find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. (round your answer to two decimal places.)
The rocket's altitude [tex]y[/tex] at time [tex]t[/tex] is
[tex]y(t)=\left(800\dfrac{\rm km}{\rm h}\right)t[/tex]
so that after [tex]t=3\,\mathrm{min}[/tex], it will have traveled
[tex]y=\left(800\dfrac{\rm km}{\rm h}\right)(3\,\mathrm{min})=40\,\mathrm{km}[/tex]
The angle of elevation [tex]\theta[/tex] at time [tex]t[/tex] is such that
[tex]\tan\theta=\dfrac{y(t)}{13\,\rm km}[/tex]
At the moment when [tex]y(t)=30\,\mathrm{km}[/tex], this angle is
[tex]\tan\theta=\dfrac{30\,\rm km}{13\,\rm km}\implies\theta\approx66.57^\circ[/tex]
Differentiating both sides of the equation above gives
[tex]\sec^2\theta\dfrac{\mathrm d\theta}{\mathrm dt}=\dfrac1{13\,\rm km}\dfrac{\mathrm dy(t)}{\mathrm dt}[/tex]
and substituting the angle [tex]\theta[/tex] found above, and [tex]\dfrac{\mathrm dy(t)}{\mathrm dt}=800\dfrac{\rm km}{\rm h}[/tex], we get
[tex]\sec^2\theta66.57^\circ\dfrac{\mathrm d\theta}{\mathrm dt}=\dfrac1{13\,\mathrm km}\left(800\dfrac{\rm km}{\rm h}\right)[/tex]
[tex]\implies\boxed{\dfrac{\mathrm d\theta}{\mathrm dt}\approx9.73\dfrac{\rm rad}{\rm h}}[/tex]
Final answer:
Using related rates and the tangent function, the rate at which the angle between the telescope and the ground is increasing can be calculated 3 minutes after the rocket's launch.
Explanation:
To solve the problem of a rocket's angle of elevation changing as it travels vertically, we need to apply related rates in calculus. At the time given (3 minutes after lift-off), we should first convert the rocket's speed into meters per second (800 km/hr is approximately 222.22 m/s). Then, we can use the tangent function (tan(θ) = opposite/adjacent), where opposite is the height of the rocket and the adjacent is the distance from the observer to the launching pad (13 km). The rate of change of the angle can be found by differentiating the tangent function with respect to time and then using the chain rule to substitute for dh/dt (the rate at which the height of the rocket is changing).
After calculating the height of the rocket 3 minutes after launch (which would be 222.22 m/s * 180 s = 39999.6 m), we can find the rate of change of the angle as the rocket ascends by using the formula dθ/dt = (1/(1 + (h/13,000)2)) * (dh/dt)/(13,000), substituting h for 39999.6 and dh/dt for 222.22. The final calculation will give us the rate at which the angle between the telescope and the ground is increasing.
Resistance equation please help!
Answer:
D. 5.2Ω
Explanation:
Resistors in parallel have a net resistance of:
R = (1/R₁ + 1/R₂)⁻¹
The 2.0Ω resistor and the 3.0Ω resistor are in parallel, so the combination has a net resistance of:
R = (1/2.0 + 1/3.0)⁻¹
R = 1.2Ω
Resistors in series of a net resistance of:
R = R₁ + R₂
The 4.0Ω resistor is in series with the 2.0Ω/3.0Ω combination. So the net resistance of all three is:
R = 1.2Ω + 4.0Ω
R = 5.2Ω
A girl and a boy are riding on a merry-go-round that is turning at a constant rate. The girl is near the outer edge, and the boy is closer to the center. For a given elapsed time interval, which rider has greater angular displacement?
Both the girl and the boy have the same nonzero angular displacement.
Both the girl and the boy have zero angular displacement.
The boy has greater angular displacement.
The girl has greater angular displacement.
Part B
A girl and a boy are riding on a merry-go-round that is turning at a constant rate. The girl is near the outer edge, and the boy is closer to the center. Who has greater linear speed?
Both the girl and the boy have zero linear speed.
The girl has greater linear speed.
Both the girl and the boy have the same nonzero linear speed.
The boy has greater linear speed.
(a) Both the girl and the boy have the same nonzero angular displacement.
Explanation:
The angular displacement of an object moving in uniform circular motion, as the boy and the girl on the merry-go-round, is given by
[tex]\theta= \omega t[/tex]
where
[tex]\omega[/tex] is the angular speed
t is the time interval
For a uniform object in uniform circular motion, all the points of the object have same angular speed. This means that the value of [tex]\omega[/tex] is the same for the boy and the girl.
Therefore, if we consider the same time interval t, the boy and the girl will also have same nonzero angular displacement.
(b) The girl has greater linear speed.
Explanation:
The linear (tangential) speed of a point along the merry-go-round is given by
[tex]v=\omega r[/tex]
where
[tex]\omega[/tex] is the angular speed
r is the distance of the point from the centre of the merry-go-round
In this problem, the girl is near the outer edge, while the boy is closer to the centre: since the value of [tex]\omega[/tex] is the same for both, this means that the value of r is larger for the girl, so the girl will also have a greater linear speed.
Both the girl and the boy riding on a merry-go-round have the same nonzero angular displacement, and the girl has greater linear speed.
What is angular displacement?The angular displacement of a body is the product of the angular velocity of the body and the time taken by it. It can be given as,
[tex]\theta=\omega\times t[/tex]
Here, (ω) is the angular velocity and (t) is the time taken.
The girl and the boy are riding on a merry-go-round that is turning at a constant rate. The girl is near the outer edge, and the boy is closer to the center.
Part A) The rider which has greater angular displacement-Each point of the circular motion, has the same angular speed and therefor the same angular displacement for the same time.
Hence, for a given elapsed time interval, both the girl and the boy have the same nonzero angular displacement.
Part B-The greater linear speed-A girl and a boy are riding on a merry-go-round that is turning at a constant rate. The girl is near the outer edge, and the boy is closer to the center.
As the linear speed is the product of angular velocity and distance of the body from the center of the rotation.
As the girl is at more distance from the center compare to boy. Hence, the girl has greater linear speed.
Learn mote about the angular displacement here;
https://brainly.com/question/13572778
Planet that has an orbit that intersects the orbit of pluto
The dwarf planet Pluton, has the most eccentric orbit (more elliptical and elongated) of all the planets, and as a consequence its orbit is "intersected" by the orbit of Neptune.
However, despite this intersection, there is no collision risk between these two bodies, since the orbit of Pluto is located in an orbital plane different from that of the other planets and therefore different from that of Neptune, its nearest neighbor. In addition, the orbit of Pluton is inclined [tex]17\°[/tex] on the the ecliptic plane (plane where the other planets move around the Sun).
A liquid of density 1136 kg/m3 flows with speed 1.06 m/s into a pipe of diameter 0.26 m . The diameter of the pipe decreases to 0.05 m at its exit end. The exit end of the pipe is 4.25 m lower than the entrance of the pipe, and the pressure at the exit of the pipe is 1.2 atm . P1 1.06 m/s 0.26 m P2 v2 0.05 m 1.2 atm 4.25 m Applying Bernoulli’s principle, what is the pressure P1 at the entrance end of the pipe? Assume the viscosity of the fluid is negligible and the fluid is incompressible. The acceleration of gravity is 9.8 m/s 2 and Patm = 1.013 × 105 Pa. Answer in units of Pa.
To calculate the pressure at the entrance end of the pipe, we can apply Bernoulli's principle and the equation of continuity. First, we can find the speed of the liquid at the exit end of the pipe using the equation of continuity. Then, we can use Bernoulli's equation to calculate the pressure at the entrance end of the pipe. The pressure at the entrance end of the pipe is approximately 1.08 × 10^5 Pa.
Explanation:To calculate the pressure at the entrance end of the pipe, we can apply Bernoulli's principle, which states that the total energy of a fluid flowing in a pipe is constant. Bernoulli's equation is given by:
P1 + (1/2)ρv1^2 + ρgh1 = P2 + (1/2)ρv2^2 + ρgh2
In this equation, P1 and P2 are the pressures at the entrance and exit ends of the pipe, ρ is the density of the liquid, v1 and v2 are the speeds of the liquid at the entrance and exit ends, g is the acceleration due to gravity, and h1 and h2 are the heights of the liquid at the entrance and exit ends, respectively.
Using the given values, we can calculate:
ρ = 1136 kg/m³v1 = 1.06 m/sv2 = ?D1 = 0.26 mD2 = 0.05 mP2 = 1.2 atm = 1.2 × 101325 Pah2 - h1 = 4.25 mFirst, we need to calculate v2 using the equation of continuity, which states that the mass flow rate is constant:
A1v1 = A2v2
Using the diameters of the pipe at the entrance and exit ends, we can find the areas:
A1 = (π/4)(D1^2)A2 = (π/4)(D2^2)Substituting the given values, we can solve for v2:
A1v1 = A2v2
[(π/4)(0.26^2)](1.06) = [(π/4)(0.05^2)]v2
v2 = [(π/4)(0.26^2)](1.06) / [(π/4)(0.05^2)]
v2 ≈ 22.22 m/s
Now that we have v2, we can substitute all the values into Bernoulli's equation and solve for P1:
P1 + (1/2)ρv1^2 + ρgh1 = P2 + (1/2)ρv2^2 + ρgh2
Substituting the given values:
P1 + (1/2)(1136)(1.06^2) + (1136)(9.8)(0) = (1.2 × 101325) + (1/2)(1136)(22.22^2) + (1136)(9.8)(4.25)
Solving for P1:
P1 ≈ 1.08 × 10^5 Pa
Therefore, the pressure at the entrance end of the pipe is approximately 1.08 × 10^5 Pa.
any help is appreciated
image distance,di=10 cm
object distance,do=20cm
magnification, m=di/do
=10/20
=0.5
since the image is virtual, magnification is negative.
therefore m=-0.5