Final answer:
The new gravitational force between the two objects will be 6400 N.
Explanation:
The gravitational force between two objects can be calculated using Newton's law of gravitation, which states that the gravitational force (F) is directly proportional to the product of the masses of the objects (M1 and M2) and inversely proportional to the square of the distance between their centers (r).
So, if the gravitational force between two objects is initially 1600 N and the masses of the objects are doubled, the new gravitational force (F') can be calculated using the equation:
F' = (2M1)(2M2)G / (r^2)
Substituting the values into the equation and simplifying, we get:
F' = 4F
Therefore, the new gravitational force will be 4 times the initial force, which is 4 * 1600 N = 6400 N.
How many neutrons are needed to initiate the fission reaction shown?
Answer: One neutron
Explanation:
one neutron 1/0n
Sum up the mass numbers on the right 99 + 135 + 2 = 236.
The sum of the mass numbers on the left should equal 236. 235 + 1 = 236
Only one neutron is needed to initiate a fission reaction in Uranium-235. This initiates a chain reaction where released neutrons cause further fission. However, not all neutrons result in further fission, as some may escape or interact without causing a split.
Explanation:To initiate a fission reaction in Uranium-235, only one neutron is needed. As the process begins, the uranium-235 nucleus absorbs a neutron, making it an unstable uranium-236 nucleus. This unstable nucleus then breaks down into two smaller nuclei, releasing a large amount of energy in the process. Additionally, two or three neutrons are also released during the breakdown of the unstable uranium-236 nucleus. These extra neutrons can in turn go on to initiate fission in other uranium-235 nuclei, leading to a nuclear chain reaction. However, not every neutron produced results in further fission as some neutrons may escape the material or interact with a nucleus without causing it to split.
Learn more about Nuclear Fission here:https://brainly.com/question/35560070
#SPJ3
Which portion of the electromagnetic spectrum is used to identify fluorescent minerals?
a) ultraviolet light
b) X rays
c) infrared waves
d) gamma rays
Ultraviolet light, whose wavelength is approximately between 100 nm and 380 nm; is a type of electromagnetic radiation that is not visible to the human eye.
This light is used for many purposes, among which is the identification of fluerescent minerals.
In this sense, fluorescence is a property that certain materials have in which they absorb energy in the form of short wavelength not visible electromagnetic radiation (the ultraviolet, for example) and then emit some of that energy in the form of longer wavelength electromagnetic radiation (in the visible spectrum). This is also called luminiscence.
Hence, the correct option is a.
A car has a mass of 1300 kg and a velocity of 15 m/s. The car crashes into a wall and stops in two seconds. What is the stopping force during the collision?
A: 4875 N
B: 9750 N
C: 19500 N
D: 39000 N
Answer:
B
Explanation:
Newton's second law:
F = ma
The acceleration is Δv/Δt, so:
F = m Δv/Δt
Given m = 1300 kg, Δv = 15 m/s, and Δt = 2 s:
F = (1300 kg) (15 m/s) / (2 s)
F = 9750 N
Answer B.
When a solid is hit hard, the force may break the solid. This is called
Toughness
Cleavage
Hardness
Answer:
Cleavage
Explanation:
Toughness is the resistance of a solid to breakage. The tougher a solid is, the less likely it would succumb to breakage of any form.
Hardness is very similar to toughness and it describes how unyielding a sold is to pressure or force of any form.
Cleavage on the other hand describes the tendency or ability of a solid to spilt or be broken along a specified plane of weakness. When such a solid is hit hard, they show some fracturing directions which represents weaknesses in their lattice structures or crystal forms. Most solids have cleavage directions in them.
Which is the hottest planet in the solar system
Answer:
venus
Explanation:
Answer:
► Venus
Explanation:
Venus is the hottest planet in the Solar System. It is not the closest, but it is the hottest. Venus's temperature has an average if 462 degrees Celsius. That is 863.6 Fahrenheit.
Which of the following accurately describes semiconductor diodes?
A. Unlike point-contact diodes, junction diodes use a point of metal wire in contact with a single wafer of P-type or N-type material.
B. Junction diodes are preferred over point-contact diodes for most purposes.
C. Point-contact diodes are more likely to be used as rectifiers than junction diodes.
D. Unlike junction diodes, point-contact diodes are enclosed in a suitable casing and have terminals for connecting them to a circuit.
C is the answer if not I’m sorry but I came to the conclusion of C being the answer
Answer:
The answer is A. Because it describes better a semiconductor diode
Explanation:
A semiconductor diode is formed of a junction of P dopped material (excess of electrons), with a N dopped material (absence of electrons). Under the correct polarization, the electron flows from one side to another, other way electrons wont flow.
answersWhich of the following best explains what happens when the kinetic energy of particles in a gas state decreases? (2 points) They vibrate so quickly that the particles ionize and become plasma. They vibrate so slowly that the particles are no longer held together, resulting in a plasma. They move fast enough to overcome the forces of attraction holding them together and become a liquid. They move more slowly, causing the forces of attraction holding them together to increase, resulting in a liquid.
Answer: They move more slowly, causing the forces of attraction holding them together to increase, resulting in a liquid.
Explanation:
The attraction overcomes the movement of particles, and bonds form.
At t=0 a grinding wheel has an angular velocity of 20.0 rad/s . it has a constant angular acceleration of 35.0 rad/s2 until a circuit breaker trips at time t = 2.30 s . from then on, it turns through an angle 433 rad as it coasts to a stop at constant angular acceleration. part a through what total angle did the wheel turn between t=0 and the time it stopped?
Over the first 2.30 s, the wheel turns by angle [tex]\theta[/tex] according to
[tex]\theta=\left(20.0\dfrac{\rm rad}{\rm s}\right)t+\dfrac12\left(35.0\dfrac{\rm rad}{\mathrm s^2}\right)t^2[/tex]
so that after 2.30 s, it will have turned
[tex]\theta=138.575\,\mathrm{rad}[/tex]
Then the wheel turns a total of [tex]\theta+433\,\mathrm{rad}[/tex] over this entire interval, or [tex]572\,\mathrm{rad}[/tex].
light entering a small hole in a door would be an example of
a. reflection
b. refraction
c. diffraction
d. interference
Answer:
Light entering through a small hole in a door is an example if Diffraction.
Explanation:
Slight bending of light passing through an edge or opening of an object is called as diffraction of light. The rate of bending of light depends on the size of slit or opening in the object and relative size of light’s wavelength.
If the slit or the opening is much larger than the wavelength of the light, the bending of the light will be almost smaller and becomes unnoticeable. If both the slit and the opening are equal in size, the light bends to an considerable amount.There are two types of diffraction namely Fraunhoffer diffraction and Fresnel diffraction.
When unequal resistors are connected in series across an ideal battery,the same power is dissipated in each one.the potential difference across each is the same.the current flowing in each is the same.the equivalent resistance of the circuit is less than that of the smallest resistor.the equivalent resistance of the circuit is equal to the average of all the resistances.
Answer:
the current flowing in each is the same.
Explanation:
When resistors are connected in series, they are connected in the same branch of the circuit - this means that the same current flows through each resistor.
The other options listed are wrong because:
the same power is dissipated in each one --> false: the power dissipated in each resistor is [tex]P=I^2 R[/tex], where I is the current and R the resistance, so it depends on the value of the resistance
the potential difference across each is the same.-- > false: this is true in parallel circuits, not series circuits
the equivalent resistance of the circuit is less than that of the smallest resistor.--> false: the equivalent resistance of a series circuit is the sum of the individual resistances: [tex]R = R_1 + R_2 + ...[/tex], so it is larger than the resistance of the smallest resistance
the equivalent resistance of the circuit is equal to the average of all the resistances. --> false: the equivalent resistance of a series circuit is the sum of the individual resistances: [tex]R = R_1 + R_2 + ...[/tex], not the average
Which of these is a correct equation for acceleration? A. a = m × F B. a = m + F C. a = F ÷ m D. a = m ÷ F
D. Force is equal to mass times acceleration.
F=ma
m/F=a
a = F ÷ m is the correct equation for acceleration. Hence, option (A) is correct.
What is acceleration?Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration.
According to Newton's second law of motion:
Force = mass × acceleration
Hence, acceleration (a) = force (F) ÷ mass (m).
Learn more about acceleration here:
https://brainly.com/question/12550364
#SPJ5
A uniform solid cylinder with a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 33.4 rpm. What is its kinetic energy?
Answer:
Is the equation for Ec=1/2 m(Dv)^2 where Dv is the difference between the angular speed & the areolar speed?
Planet with an atmosphere that rains sulfuric acid
Answer:
Venus
Explanation:
What type of simple machine is a catapult
The catapult is basically a type of simple lever or first class lever, which is a device used to transmit force and displacement to an object, by means of the amplification of the applied mechanical force, thus increasing its speed or distance traveled.
These simple levers are composed of a rigid bar that can rotate freely around a point of support (the fulcrum). However what differentiates them from the other levers is that the fulcrum is between the point where the effort must be applied and the point where the resistance is.
With this configuration it is posssible to make several arrangements, depending on the purpose to be achieved, either control and decrease the speed and distance traveled by the object or increase it.
A catapult is a simple machine that functions largely as a lever, one of the classical types of simple machines that provides a mechanical advantage by altering force and distance.
A catapult is a simple machine that utilizes the principles of a lever to multiply the force applied to it. Simple machines are devices that can be used to multiply or augment a force that we apply. The catapult lever operates by converting stored energy into kinetic energy, effectively using the conservation of energy principle. When designing a small catapult to try at home, you can use materials such as rubber bands, spoons, popsicle sticks, or small plastic containers to create a device that demonstrates this principle.
Simple machines like the lever, nail puller, wheelbarrow, and crank are designed to give us a mechanical advantage. This involves changing the magnitude or direction of forces, helping to perform tasks more easily by requiring less force over a greater distance. Catapults, in particular, allow a small input force to be converted into a much larger output force, launching projectiles over a distance.
When light of the correct wavelength hits a photosynthetic pigment molecule?
Answer:
im not sure what your asking
Explanation:
Which of the following is true for both outer gas planets and inner terrestrial planets?
Their orbits are inside the asteroid belt.
They have rings.
They have a round shape.
They have a core of ice.
Answer:
They have a round shape
Explanation:
The gas giants which are the outer planets, and the terrestrial planets which are the inner ones have lot of differences between them. They have different sizes, different composition, different atmospheres, temperatures etc. But they also have something in common, which is pretty much the most obvious thing, they all have round shape. All of the planets have round shape, or rather they are slightly elliptical as they are more elongated around their equators, and slightly more flattened around their poles. This kind of shape has occurred because of these planets spin around their own axis, and around the Sun, thus the surface has become much smoother over time because of the friction.
Answer: they have a round shape
Explanation:
What occurs during a solar eclipse? Check all that apply.
Earth is closest to the Sun.
There are small tides across Earth.
The moon’s shadow falls on Earth.
The moon is covered in Earth’s shadow.
The moon is between Earth and the Sun.
Answer:
The Moon’s shadow falls on Earth.
The Moon is between Earth and the Sun.
Explanation:
Eclipses are known as game of shadows. During an eclipse shadow of an object falls on another object. From the perspective of Earth we can see two kind of eclipses: Lunar and Solar.
In Solar eclipse, the Moon lies in between our planet the Earth and the Sun such that they are in the same line. Shadow of Moon will fall on Earth. Looking from the Earth, the Sun will look like it has been hidden by the Moon.
Final answer:
A solar eclipse occurs when the Moon moves between the Sun and Earth, casting a shadow on Earth. Total solar eclipses happen when the Moon's umbra reaches Earth, while partial eclipses occur within the penumbral shadow. Lunar eclipses differ as they involve the Moon entering Earth's shadow.
Explanation:
During a solar eclipse, the Moon moves between the Sun and Earth, casting its shadow on our planet. If the eclipse is total, it occurs when the umbra, the Moon's darkest shadow, reaches the surface of the Earth, covering the Sun completely for a brief time. This results in the solar atmosphere, known as the corona, becoming visible. During the eclipse, the observers within the penumbra, a lighter shadow, will see only a partial covering of the Sun, known as a partial solar eclipse. A solar eclipse requires a specific alignment on the ecliptic plane, which is the plane of Earth's orbit around the Sun. In contrast, a lunar eclipse takes place when the Moon passes into Earth's shadow and is visible from the entire night hemisphere of our planet.
Regarding the options given in the question:
The Moon's shadow falls on Earth. TrueThe Moon is between Earth and the Sun. TrueThe notions that Earth is closest to the Sun and that the Moon is covered in Earth's shadow describe other phenomena, not a solar eclipse. Additionally, tides may be affected during a solar eclipse but are not specifically mentioned in the context of the eclipse itself.
Three disks are spinning independently on the same axle without friction. Their respective rotational inertias and angular speeds are I,ω (clockwise); 2I,3ω (counterclockwise); and 4I,ω/2 (clockwise). The disks then slide together and stick together, forming one piece with a single angular velocity. What will be the direction and the rate of rotation ωnet of the single piece? Express your answer in terms of one or both of the variables I and ω and appropriate constants. Use a minus sign for clockwise rotation.
Answer:
3/7 ω
Explanation:
Initial momentum = final momentum
I(-ω) + (2I)(3ω) + (4I)(-ω/2) = (I + 2I + 4I) ωnet
-Iω + 6Iω - 2Iω = 7I ωnet
3Iω = 7I ωnet
ωnet = 3/7 ω
The final angular velocity will be 3/7 ω counterclockwise.
Answer:
[tex]\omega_{net} = 3\omega/7[/tex]
Explanation:
For this problem we will use the conservation of angular momentum. This is, the momenta of each disk added together is equal to the momenta of the single piece at angular velocity [tex]\omega_{net}[/tex]. If
[tex]L_{0} = -I\omega-4I\frac{\omega}{2}+2I(3\omega) \\L_{0} = -I\omega-2I\omega+6I\omega \\L_{0} = 3I\omega\\[/tex],
and because all disks are spinning on the same axle, the total inertia moment of the single piece at angular velocity [tex]\omega_{net}[/tex] is the sum of the inertia moment of the three disks. This way, we have that
[tex]L_{f} = (I+2I+4I)\omega_{net}\\\\L_{f}=7I\omega_{net}\\[/tex].
The conservation of angular momentum leads us to
[tex]L_{0}=L_{f}\\[/tex],
[tex]3I\omega = 7I\omega_{net}\\[/tex],
thus
[tex]\omega_{net} = \frac{3}{7}\omega[/tex].
Mariner 10 was the first to visit this planet in 1974. Which planet is this?
The Mariner 10 probe was launched by NASA on November 3rd, 1973, with the purpose of exploring the characteristics of two planets in the solar system that were closest to the Sun, Mercury and Venus.
In addition, it was launched to explore the atmosphere and surface of both planets and prove that it was possible to use gravitational assistance (also called slingshot effect, a special orbital maneuver in order to use the gravitational field energy of a planet or massive body to accelerate or slow the probe and change the direction of its trajectory) in long interplanetary trips to save fuel.
In this case, Mariner 10 first arrived at Venus and succeded in using its gravitational field to accelerate its trajectory towards Mercury.
Mariner 10 was the first spacecraft to visit Mercury in 1974, transmitting over 2000 detailed photographs of the planet's surface.
The planet that Mariner 10 first visited in 1974 is Mercury. On its flyby, Mariner 10 passed 9,500 kilometers from the surface of Mercury and sent back more than 2000 photographs. These photographs were groundbreaking, offering detailed views with a resolution down to 150 meters and marking a milestone in space exploration. Mercury is the 1st planet in the solar system of Milky way and it is comparatively much smaller than the Earth.
Massive stars terminate in a brilliant explosion called a
super nova is named for such explosion
Answer:
supernova
Explanation:
gradpoint
Plz Help A radioisotope has a half-life of 5.50 min and an initial decay rate of 7200 Bq. What will be the decay rate after 22 min? Show all work and include units of measure.
A radioisotope has a half-life of 5.50 min and an initial decay rate of 7200 Bq. What will be the decay rate after 22 min? Show all work and include units of measure.
The mass of an isotope of oxygen is 17.99161 u. It has 8 protons, 8 electrons, and 10 neutrons. What is its mass defect? Show all work.
Answer:
450 Bq, 0.15325u
Explanation:
Half life equation:
A = A₀ (½)^(t / T)
A = (7200 Bq) (½)^(22 min / 5.50 min)
A = 450 Bq
Mass defect is the difference between the sum of the proton and neutron masses and the isotope mass.
The mass of a proton is 1.007276u, and the mass of a neutron is 1.008665u.
So the mass defect is:
(8 × 1.007276u + 10 × 1.008665u) − 17.99161u
0.15325u
An arrow pointing upward is placed to the left of a thin converging lens, as shown in the diagram. To identify the location of the image, a student draws three principal from the arrow. What feature should all three principal rays have in common?
Answer:
I'm not sure if I have the right words for it, but it is most likely that all three rays will form a larger inverted image after they pass through the lens because the arrow is outside the focal point. The image will be outside of F2, like the arrow is outside of F1.
Explanation:
Due to the shape of the lens in the diagram, you can imagine 3 lines branching out from point Q. I've made a digital sketch about what will happen as they pass through. It's a little crude, but it still works. I hope this was helpful.
The three principal rays intersect at the right side of the convergent lens.
To find the answer, we need to know about the trace of the principal rays.
What are the three principal rays?The three principal rays are as follows
A ray parallel to the axis A ray passes through the pole of the convergent lensA ray passes through the focus at the left side of the lensAll the above rays are drawn from the tip of the pointed arrow.
What will be the nature of the three principal rays after passing through the convergent lens?The ray that is parallel to the axis, moves through the focus that present on the right of lens after passing through the lens.The ray that passes through the pole of the lens moves without deviation.The ray that passes through the left focus moves parallel to the axis after passing through the lens.All these three rays meet at a certain point where the image is formed.Thus, we can conclude that the three principal rays intersect at the right side of the convergent lens.
Learn about the principal rays here:
brainly.com/question/766997
#SPJ2
Pls help on this one
Answer:
D
Explanation:
because 50.0/10.0 = 5.0
Answer:
D
Explanation:
because 50.0/10.0 = 5.0
A 30-gram bullet is fired and a 50-gram bullet is dropped simultaneously from the same height. Which will hit the ground first?
The 30-gram bullet fired and 50-gram bullet dropped from the same height, ignoring air resistance, will hit the ground at the same time. The reason is that the acceleration due to gravity is a constant and act only vertically downward. If air resistance were present, the fired bullet would hit the ground first due to deceleration caused by air resistive force.
Explanation:The subject of this question is Physics, and it deals with the concept of free fall and projectile motion. Free fall is a type of motion in which an object falls downward due to gravitational force only, with no other forces having an impact. Projectile motion is the motion of an object that is launched into the air and subject to gravity and air resistance.
In this case, we are asked which of the two objects, a bullet fired horizontally and another dropped directly downward from the same height, will hit the ground first, ignoring air resistance. The surprising answer is that they hit the ground at the same time. While the fired bullet travels a further horizontal distance, the vertical component of its motion behaves just like that of the dropped bullet. Therefore, both bullets hit the ground simultaneously.
However, if air resistance is taken into account, the bullet will decelerate quicker due to its higher speed resulting in a greater air resistive force. This would cause the fired bullet to hit the ground first. This is derived from the fundamental laws of Physics that describe the effect of gravity on an object's motion. The acceleration due to gravity is a constant and acts only vertically downward, therefore, it affects both scenarios the same, making both bullets hit the ground at the same time in vacuum.
Learn more about Effect of Gravity and Air Resistance on Motion here:https://brainly.com/question/15710362
#SPJ12
A constant eastward horizontal force of 70. newtons is applied to a 20.-kilogram crate moving toward the east on a level floor. If the frictional force on the crate has a magnitude of 10. newtons, what is the magnitude of the crate’s acceleration?
Answer:
[tex]3 m/s^2[/tex]
Explanation:
Newton's second law states that:
[tex]\sum F = ma[/tex]
where
[tex]\sum F[/tex] is the resultant of the forces acting on an object
m is the mass of the object
a is the acceleration
In this case we have two forces:
F = +70 N (east direction) is the horizontal push
Ff = -10 N (west direction) is the frictional force
so the net force is
[tex]\sum F=70 N - 10 N = 60 N[/tex]
We also know the mass of the crate
m = 20 kg
So we can find the acceleration
[tex]a=\frac{sum F}{m}=\frac{60 N}{20 kg}=3 m/s^2[/tex]
The drag force pushes opposite your motion as you ride a bicycle. If you double your speed, what happens to the magnitude of the drag force? The drag force goes up by a factor of 4 The drag force stays the same. The drag force decreases. The drag force doubles as well
Explanation:
The Drag Force equation is:
[tex]F_{D}=\frac{1}{2}C_{D}\rho A_{D}V^{2}[/tex] (1)
Where:
[tex]F_{D}[/tex] is the Drag Force
[tex]C_{D}[/tex] is the Drag coefficient, which depends on the material
[tex]\rho[/tex] is the density of the fluid where the bicycle is moving (air in this case)
[tex]A_{D}[/tex] is the transversal area of the body or object
[tex]V[/tex] the bicycle's velocity
Now, if we assume [tex]C_{D}[/tex], [tex]\rho[/tex] and [tex]A_{D}[/tex] do not channge, we can rewrite (1) as:
[tex]F_{D}=C.V^{2}[/tex] (2)
Where [tex]C[/tex] groups all these coefficients.
So, if we have a new velocity [tex]V_{n}[/tex] , which is the double of the former velocity:
[tex]V_{n}=2V[/tex] (3)
Equation (2) is written as:
[tex]F_{D}=C.V_{n}^{2}=C.(2V)^{2}[/tex]
[tex]F_{D}=4CV^{2}[/tex] (4)
Comparing (2) and (4) we can conclude the Drag force is four times greater when the speed is doubled.
Why is the nervous system like a telegraph
Answer: The structure of axon bundle in nervous system is just like a telegraph wire.
Explanation: There is structural and functional similarity between the nervous system and telegraph. In a telegraph the wire of the cable are bundled to form a single cable just like the way a group of axons bundle themselves.
Also the axons are covered by a myelin (also known as white matter) to insulate them in a similar way as the plastic coating of an electric wire of telegraph. Both axon in the nervous system and the telegraph wire send signal across its ends.
Describe the difference between red light and blue light.
Answer:
Red light has longer wavelength, while blue light has higher frequency
Explanation:
Red light and blue light corresponds to two different portion of the visible part of the electromagnetic spectrum.
The two colors have different wavelengths - more precisely:
Blue: 450 - 500 nm
Red: 620 - 750 nm
So, we see that red light has a longer wavelength than blue light.
Moreover, the frequency of an electromagnetic wave, f, is inversely proportional to the wavelength, [tex]\lambda[/tex]:
[tex]f=\frac{c}{\lambda}[/tex]
where c is the speed of light. This means that blue light, which has a shorter wavelength, has a higher frequency than red light.
A cart is attached to a string and the other end of the string is attached to a weight that is free to fall. The cart is initially released from rest, and travels a distance of 0.521 m m before hitting a stopper. The cart's final speed was 0.931 m/s . The inertia of the weight is 0.115 kg , while the inertia of the cart is 1.000 kg . For the next 4 parts consider a system of the earth, the weight, the cart, the string, and the track. Assume the track does not move relative to the earth.1- What is the final speed of the weight?2- What is the change in kinetic energy of the system?3- What is the change in potential energy of the system?4- What is the change in thermal energy of the system due to friction?
1. 3.20 m/s
Assuming the string is inextensible, the cart and the weight travels the same distance: so, since the cart travels for 0.521 m, the distance travelled by the weigth is the same:
d = 0.521 m
The motion of the weigth is a free-fall motion with acceleration g = 9.8 m/s^2, so its final speed can be found by using the equation
[tex]v^2 = u^2 + 2gd[/tex]
where
u = 0
is the initial speed of the weigth (at rest). Substituting into the formula, we find
[tex]v=\sqrt{0+2(9.8 m/s^2)(0.521 m)}=3.20 m/s[/tex]
2. 1.022 J
The change in kinetic energy of the system is equal to the sum of the kinetic energies acquired by the cart and the weight. They both started from rest, so their initial kinetic energies were zero.
The cart has
mass: m = 1.000 kg
final speed: v = 0.931 m/s
so its gained kinetic energy is
[tex]K_c = \frac{1}{2}mv^2=\frac{1}{2}(1.000 kg)(0.931 m/s)^2=0.433 J[/tex]
The weight has
mass: m = 0.115 kg
final speed: v = 3.20 m/s
so its gained kinetic energy is
[tex]K_w = \frac{1}{2}mv^2=\frac{1}{2}(0.115 kg)(3.20 m/s)^2=0.589 J[/tex]
So the change in kinetic energy of the system is
[tex]\Delta K= K_f - K_i = (0.433 J+0.589 J)-0=1.022 J[/tex]
3. -5.693 J
The potential energy of the falling cart decreases by the following amount:
[tex]\Delta U = mg \Delta h[/tex]
where
m = 1.000 kg is the mass
g = 9.8 m/s^2
[tex]\Delta h = -0.521 m[/tex] is the change in height of the cart
Substituting, we find
[tex]\Delta U=(1.000 kg)(9.8 m/s^2)(-0.521 m)=-5.106 J[/tex]
the potential energy of the falling weight decreases by the following amount:
[tex]\Delta U = mg \Delta h[/tex]
where
m = 0.115 kg is the mass
g = 9.8 m/s^2
[tex]\Delta h = -0.521 m[/tex] is the change in height of the weight (calculated at point a)
Substituting, we find
[tex]\Delta U=(0.115 kg)(9.8 m/s^2)(-0.521 m)=-0.587 J[/tex]
So, the change in potential energy is
[tex]\Delta U = -5.106 J-0.587 J=-5.693 J[/tex]
4. +4.671 J
The change in thermal energy of the system due to friction is equal to the loss in mechanical energy of the system.
The system has gained a kinetic energy equal to
[tex]\Delta K=+1.022 J[/tex]
while it has lost a potential energy equal to
[tex]\Delta U =-5.693 J[/tex]
So the loss in mechanical energy of the system is
[tex]\Delta E=\Delta K+\Delta U=+1.022 J-5.693 J=-4.671 J[/tex]
So the change in termal energy is
[tex]\Delta E_{th} = -(\Delta E)=-(-4.671 J)=+4.671 J[/tex]
Many sophisticated cameras have zoom lenses. When you select the telephoto setting, the objects in front of you appear much closer. In this setting, (A) the focal length of the lens is shorter than normal. (B) the aperture of the lens is larger than normal. (C) the focal length of the lens is longer than normal. (D) the aperture of the lens is smaller than normal.
The amswer is a i think cuz it make semse