There are many ways to solve this but I prefer to use the energy method. Calculate the potential energy using the point then from Potential Energy convert to Kinetic Energy at each points.
PE = KE
From the given points (h1 = 45, h2 = 16, h3 = 26)
Let’s use the formula:
v2= sqrt[2*Gravity*h1] where the gravity is equal to 9.81m/s2
v3= sqrt[2*Gravity*(h1 - h3 )] where the gravity is equal to 9.81m/s2
v4= sqrt[2*Gravity*(h1 – h2)] where the gravity is equal to 9.81m/s2
Solve for v2
v2= sqrt[2*Gravity*h1]
= √2*9.81m/s2*45m
v2= 29.71m/s
v3= sqrt[2*Gravity*(h1 - h3 )
=√2*9.81m/s2*(45-26)
=√2*9.81m/s2*19
v3=19.31m/s
v4= sqrt[2*Gravity*(h1 – h2)]
=√2*9.81m/s2*(45-16)
=√2*9.81m/s2*(29)
v4=23.85m/s
To calculate the speed at points 2, 3, and 4 of the roller-coaster car, we can use the principle of conservation of mechanical energy. At point 1, the car is released from rest, so its initial velocity is 0 m/s. Therefore, its potential energy at point 1 is equal to its total mechanical energy at point 1. Using the principle of conservation of mechanical energy again, we can find the speed at points 2, 3, and 4.
Explanation:To calculate the speed at points 2, 3, and 4 of the roller-coaster car, we can use the principle of conservation of mechanical energy. At point 1, the car is released from rest, so its initial velocity is 0 m/s. Therefore, its potential energy at point 1 is equal to its total mechanical energy at point 1:
Using the principle of conservation of mechanical energy again, we can find the speed at point 2:
Similarly, we can find the speed at point 3 using the same principle:
Finally, the speed at point 4 can be found:
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Two cars, one in front of the other, are traveling down the highway at 25 m/s. the car behind sounds its horn, which has a frequency of 500 hz. what is the frequency heard by the driver of the lead car? (vsound = 340 m/s)
What is the relationship between current and voltage in the filament of an incandescent light bulb?
Sort the following hypothetical discoveries into the appropriate bins as follows:consistent with theory: the statement describes a discovery that we could reasonably expect to find if the nebular theory is correct.not consistent with theory: the statement describes a discovery that would force us to modify or discard the nebular theory.
When a perfume bottle is opened, some liquid changes to gas and the fragrance spreads around the room. Which sentence explain this?
Diffusion is the process by which perfume molecules spread out in the room after a bottle is opened.
Diffusion is the process by which molecules move from an area of high concentration to an area of low concentration until equilibrium is reached. When a perfume bottle is opened, the liquid evaporates, and the fragrance molecules spread out through the room via diffusion, explaining how the scent permeates the entire space.
Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (a), the distance albert can throw a small rock. one albert is 88 meters. how many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m2)
To solve this problem, we know that:
1 Albert = 88 meters
1 A = 88 m
The first thing we have to do is to square both sides of the equation:
(1 A)^2 = (88 m)^2
1 A^2 = 7,744 m^2
Since it is given that 1 acre = 4,050 m^2, so to reach that value, 1st let us divide both sides by 7,744:
1 A^2 / 7,744 = 7,744 m^2 / 7,744
(1 / 7,744) A^2 = 1 m^2
Then we multiply both sides by 4,050.
(4050 / 7744) A^2 = 4050 m^2
0.523 A^2 = 4050 m^2
Therefore 1 acre is equivalent to about 0.52 square alberts.
He heating element of an electric dryer is rated at 4.1 kw when connected to a 240-v line. part a what is the current in the heating element? express your answer using two significant figures. i = a submitmy answersgive up part b is 12-gauge wire large enough to supply this current? is 12-gauge wire large enough to supply this current? yes no submitmy answersgive up part c what is the resistance of the dryer's heating element at its operating temperature? express your answer using two significant figures. r = ω submitmy answersgive up part d at 11 cents per kwh, how much does it cost per hour to operate the dryer? express your answer using two significant figures. cent
Part A. The formula relating electric power, voltage and current is:
P = I V
I = P / V
I = 4,100 W / 240 V
I = 17.08333 A
I = 17.08 A
Part B. The maximum amount of current an electrical wire can conduct is measure in terms of Ampacity. For a 12-gauge wire the Ampacity is greater than 20 A. Therefore the answer to this is “Yes”.
Part C. The formula for resistance is:
R = V / I
R = 240 V / 17.08 A
R = 14.05 Ω
Part D. The cost per hour is:
(11 cents / kwh) (4.1 kw) = 45.1 cents / hr
A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. the pipe is 10 m long, has an inner diameter of 5 cm and pipe wall thickness of 6 mm. the pipe has a thermal conductivity of 17 w/m·k, and the inner pipe surface is at a uniform temperature of 120°c. the temperature drop between the inlet and exit of the pipe is 7°c, and the constant pressure specific heat of vapor is 2190 j/kg·°c. if the air temperature in the manufacturing plant is 25°c, determine the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air.
Without additional information or context regarding the rate of heat transfer or the properties of the fluid flow over the pipe, the heat transfer coefficient cannot be calculated directly from the information provided. Typically, empirical correlations based on experimental data or known flow conditions would be necessary to estimate this coefficient.
Explanation:To calculate the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air, we'd typically use the convection heat transfer equation:
Q = hAΔT
Where Q is the heat transfer rate, h is the heat transfer coefficient, A is the area of the pipe exposed to convection, and ΔT is the temperature difference between the surface and the air. However, additional information is needed to proceed with the calculation, such as the heat transfer rate from the pipe to the air or the convective heat transfer properties of the fluid surrounding the pipe.
In the case provided, without further context or information regarding the rate of heat transfer or properties of the flow over the pipe, the heat transfer coefficient (h) cannot be calculated directly. Usually, in such scenarios, experimental data or empirical correlations are used to estimate the heat transfer coefficient based on the flow conditions (e.g., Reynolds number, Prandtl number).
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A roller coaster travels 200 feet horizontally and then rises 135 feet at an angle of 30 degrees above the ground. What is the magnitude of the resultant vector?
The roller coaster's path is represented by two vectors: a horizontal and an inclined one. The inclined path is further broken into its vertical and horizontal components. By summing up the squares of the total horizontal and vertical distances (after calculating these components) and taking the square root, the magnitude of the resultant vector equates to 323.95 feet.
Explanation:The question relates to the calculation of the magnitude of a resultant vector, which is a concept in physics. The roller coaster's path can be represented as two vectors - the horizontal and the inclined path. The magnitude of the resultant vector can be calculated using the Pythagorean theorem, which is commonly used in physics to determine the resultant of perpendicular vectors.
The horizontal displacement is 200 feet. However, the vertical displacement is part of the inclined path, which needs to be broken down into its components to get the vertical and horizontal distances. The vertical distance covered in the inclined path can be calculated as 135 sin(30) = 67.5 feet and the horizontal distance as 135 cos(30) = 116.7 feet. Thus, the total horizontal distance becomes 200 + 116.7 = 316.7 feet.
The resultant vector, which represents the total path covered by the roller coaster, can be calculated by adding the squares of the total horizontal and vertical distance and then taking the square root of the sum. Using the Pythagorean theorem, the magnitude of the resultant vector becomes √(316.7² + 67.5²) = 323.95 feet.
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A push or a pull is called _____.
A) work
B) a scalar
C) a force
D) velocity
A push or a pull is called a 'force' in physics. This force can make an object change its velocity, such as starting to move, stopping, or changing its direction.
Explanation:In the field of physics, a push or a pull is referred to as a force. Option C is the correct answer to your question. Forces cause an object to change its velocity, meaning it can start moving, stop moving, or change its direction based on this influence. For example, if you push a stationary bike, it starts to move - that's an illustration of a force at work. Even gravity is a type of force that pulls objects towards the Earth's surface.
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Convective cooling cools rocks much more rapidly than heat conduction. hydrothermal circulation represents convective cooling at ocean ridges and is well known from things like black smokes, but only occurs close to the spreading ridge axis. when geophysicists measure the geothermal gradient in areas along ridges where there is no hydrothermal activity, the thermal gradient is far below what you would predict theoretically, but near hydrothermal vents it is far more than you would predict. why would this be?
the idea that magma rises up at rift valleys and crust is being destroyed at trenches describes the theory of
A 230.0 kg bear grasping a vertical tree slides down at constant velocity. What is the friction force between the tree and the bear?
A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down if the radius of the loop is
Where in the ocean does oceanic lithosphere sink into the mantle? answer?
Which of the following scenarios will cause the current to stop flowing within a circuit?
A. Insulating materials within the circuit are replaced with conducting materials.
B. A wire connected to the voltage source runs from the negative to the positive terminal.
C. The switch within the closed circuit is opened.
D. The circuit is closed.
When i stand halfway between two speakers, with one on my left and one on my right, a musical note from the speakers gives me constructive interference. how far to my left should i move to obtain destructive interference?
Final answer:
To obtain destructive interference between the two speakers, you need to move to a point where the path length difference is equal to half of the wavelength of the musical note.
Explanation:
In order to obtain destructive interference between the two speakers, you would need to move to a point where the path length difference between the two speakers is equal to half of the wavelength of the musical note. This position is known as an antinode. Since the sound waves are in phase when you are standing halfway between the speakers, the path length difference would be equal to one wavelength. So to find the point where destructive interference occurs, you would need to move to a point where the path length difference is half of one wavelength. This means moving to the left by a distance equal to half of the wavelength.A river flows due south with a speed of 1.4 m/s . you steer a motorboat across the river; your velocity relative to the water is 4.7 m/s due east. the river is 660 m wide. part a what is the magnitude of your velocity relative to the earth? express your answer with the appropriate units.
Final answer:
The magnitude of your velocity relative to the Earth when steering a motorboat across a river with given velocities is 4.9 m/s, calculated using the Pythagorean theorem on the perpendicular vector components.
Explanation:
To calculate the magnitude of your velocity relative to the Earth as you steer a motorboat across a river, you need to consider the velocities in the southern and eastern directions as vectors. The velocity of the river is 1.4 m/s south, while the velocity of the boat relative to the water is 4.7 m/s east. Applying the Pythagorean theorem to these perpendicular vector components, we find the total velocity relative to the Earth by calculating the magnitude of the resultant vector:
Vtot = \\(v_x^2 + v_y^2\\)
Where Vx is 4.7 m/s (eastward component of boat velocity) and Vy is 1.4 m/s (southward component of river velocity).
Vtot = \\(4.7^2 + 1.4^2\\)^{0.5} = \\sqrt{22.09 + 1.96} = \\sqrt{24.05} = 4.9 m/s
The magnitude of your velocity relative to the Earth is 4.9 m/s.
In order to distinguish between wavelengths independent of light intensity, one must have at least _____visual pigment(s).?
a. ?three
b. ?two
c. ?four
d. one?
A person walks first at a constant speed of 5.10 m/s along a straight line from point circled a to point circled b and then back along the line from circled b to circled a at a constant speed of 2.75 m/s. (a) what is her average speed over the entire trip? 3.57 correct: your answer is correct. m/s
Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 4 to the level n = 2.
The wavelength of the spectral lline produced is about 4.87 × 10⁻⁷ m
[tex]\texttt{ }[/tex]
Further explanationThe term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is :
[tex]\large {\boxed {E = h \times f}}[/tex]
E = Energi of A Photon ( Joule )
h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )
f = Frequency of Eletromagnetic Wave ( Hz )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
initial shell = n₁ = 4
final shell = n₂ = 2
Asked:
λ = ?
Solution:
Firstly, we will use this following formula to calculate the change in energy of the electron:
[tex]\Delta E = R (\frac{1}{(n_2)^2} - \frac{1}{(n_1)^2})[/tex]
[tex]\Delta E = 2.18 \times 10^{-18} \times ( \frac{1}{2^2} - \frac{1}{4^2})[/tex]
[tex]\Delta E = 2.18 \times 10^{-18} \times ( \frac{1}{4} - \frac{1}{16} )[/tex]
[tex]\Delta E = 2.18 \times 10^{-18} \times \frac{3}{16}[/tex]
[tex]\boxed{\Delta E \approx 4.0875 \times 10^{-19} \texttt{ J}}[/tex]
[tex]\texttt{ }[/tex]
Next, we will calculate the wavelength of the light:
[tex]\Delta E = h \frac{c}{\lambda}[/tex]
[tex]4.0875 \times 10^{-19} = 6.63 \times 10^{-34} \times \frac{3 \times 10^8}{\lambda}[/tex]
[tex]\boxed{\lambda \approx 4.87 \times 10^{-7} \texttt{ m}}[/tex]
[tex]\texttt{ }[/tex]
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Answer detailsGrade: College
Subject: Physics
Chapter: Quantum Physics
Final answer:
The wavelength of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 4 to the level n = 2 is approximately 121.57 nm.
Explanation:
The wavelength of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 4 to the level n = 2 can be calculated using the equation:
wavelength = hc / (E2 - E1)
Here, hc is the product of Planck's constant (h) and the speed of light (c), and E2 - E1 is the energy difference between the two levels.
For this transition, the energy difference can be calculated as:
E2 - E1 = -13.6 eV * [(1/n^2) - (1/m^2)]
Substituting the values, we have:
E2 - E1 = -13.6 eV * [(1/2^2) - (1/4^2)]
E2 - E1 = 10.2 eV
Now, substituting the values of hc and E2 - E1 into the equation for wavelength, we get:
wavelength = (1240 eV.nm) / 10.2 eV
wavelength = 121.57 nm
Therefore, the wavelength of the spectral line is approximately 121.57 nm.
How long does it take the sun to melt a block of ice at 0∘c with a flat horizontal area 1.0 m2 and thickness 1.0 cm ? assume that the sun's rays make an angle of 37 ∘ with the vertical and that the emissivity of ice is 0.050?
The first step in solving
this problem is to calculate for the volume of ice:
V = A w
V = 1 m^2 (0.010 m)
V = 0.010 m^3
At 0°C, the density of solid block of ice is: d = 917 kg /
m^3
Therefore the mass of the solid ice is:
m = 917 kg / m^3 * 0.010 m^3
m = 9.17 kg
The heat of fusion of ice is equivalent to 333.55 kJ/kg,
therefore:
Phase change enthalpy = 333.55 kJ/kg (9.17 kg)
Phase change enthalpy = 3,058.65 kJ = 3,058,650 J
Using 1kW/m^2 insolation energy:
1kW/m^2 * (.05) * sin(90°-37°) = 39.93 Watts = 39.93 Joule/s
m²
Therefore the time required to melt the ice is:
t = (3,058,650 J) / [39.93
Joule/s m² * (1 m^2)]
t = 76,600.3 s = 21 hours 16 min 40 seconds
To calculate the time it takes for the sun to melt the block of ice, we need to calculate the amount of heat transfer. The heat used to melt the ice is given by Q = mLf, where Q is the amount of heat transfer, m is the mass of the ice, and Lf is the latent heat of fusion of the ice.
Explanation:To calculate the time it takes for the sun to melt the block of ice, we need to calculate the amount of heat transfer. The heat used to melt the ice is given by Q = mLf, where Q is the amount of heat transfer, m is the mass of the ice, and Lf is the latent heat of fusion of the ice.
First, we need to calculate the mass of the ice using the formula m = ρV, where ρ is the density of ice and V is the volume of the ice. Since the thickness of the ice is given as 1.0 cm and the area is 1.0 m², the volume can be calculated as V = A × h, where A is the area and h is the thickness.
Once we have the mass of the ice, we can use the formula Q = mLf to calculate the amount of heat transfer. Finally, we can calculate the time it takes for the ice to melt by dividing the amount of heat transfer Q by the rate of heat transfer P, which can be calculated using the equation P = BEA(T1 - T2), where B is the angle factor, E is the emissivity of ice, A is the area, and (T1 - T2) is the temperature difference between the sun and the ice.
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Jumping up before the elevator hits. after the cable snaps and the safety system fails, an elevator cab free-falls from a height of 36 m. during the collision at the bottom of the elevator shaft, a 90 kg passenger is stopped in 5.0 ms. (assume that neither the passenger nor the cab rebounds.) what are the magnitudes of the (a) impulse and (b) average force on the passenger during the collision
An object has a mass of 5 kg what force is needed to accelerate it at 6 m/s ?
The coriolis effect ________. keeps earth from spinning too fast is caused by the moon results in ice and dark at the poles in winter keeps the wind circulating at constant speed around the planet is caused by earth's rotational forces
Dielectric materials used in the manufacture of capacitors are characterized by conductivities that are small but not zero. therefore, a charged capacitor slowly loses its charge by "leaking" across the dielectric. if a certain capacitor leaks charge such that the potential difference decreases to one third its initial value in 5.60 s, what is the equivalent resistance of the dielectric? round your answer to three significant figures.
To find the equivalent resistance of the dielectric material in the capacitor, we can use the formula for the charging or discharging of a capacitor through a resistor.
V(t) = V_0 * e^(-t / RC) , where:
V(t) is the potential difference across the capacitor at time t,
V_0 is the initial potential difference across the capacitor,
e is the base of the natural logarithm (approximately 2.71828),
t is the time elapsed (in seconds),
R is the equivalent resistance of the dielectric (in ohms), and
C is the capacitance of the capacitor (in farads).
We are given that the potential difference decreases to one-third (1/3) of its initial value, which means V(t) = (1/3) * V_0 at time t = 5.60 s.
Now, we can rewrite the equation as:
(1/3) * V_0 = V_0 * e^(-5.60 / RC)
Next, we can cancel V_0 from both sides of the equation:
(1/3) = e^(-5.60 / RC)
To find the value of RC, we can take the natural logarithm of both sides:
ln(1/3) = ln(e^(-5.60 / RC))
ln(1/3) = -5.60 / RC
Now, we can solve for RC:
RC = -5.60 / ln(1/3)
RC ≈ 10.27
Finally, we can find the equivalent resistance by dividing RC by the capacitance (C) of the capacitor. Since we do not have the value of C, we cannot provide a specific value for Resistance. However, if you have the capacitance value (in farads), you can calculate the equivalent resistance using the equation R_eq = RC / C. Make sure to use the appropriate units for capacitance (farads) and time (seconds) to get the correct answer in ohms. Round your final answer to three significant figures as requested.
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Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The first has a mass of 4.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.
The final relative velocity after an elastic collision between two satellites, where one has initially been at rest, would be reversed from the initial relative velocity. Therefore, the direction would slide from the first satellite towards the second, with the speed remaining at 0.450 m/s.
Explanation:In your question about the collision of two manned satellites, you're dealing with a physics problem related to the conservation of momentum in elastic collisions. The approach requires the understanding of the principle of conservation of momentum, which states that the total momentum of a system is conserved if there is no net external force acting on it.
In the case of two satellites approaching each other, the total momentum before the collision is represented by (m1 * v1) + (m2 * v2) = 0, with m1 and m2 as the masses of the satellites and v1 and v2 as their respective velocities. Given that the second satellite is initially at rest, v2 = 0. Because the collision is described as elastic, kinetic energy is also conserved. In an elastic collision, the relative velocity of the two objects after collision is the negative of the relative velocity before the collision. In this case, the final relative velocity would be -0.450 m/s, with the direction reversed (from the first satellite towards the second). Learn more about Elastic Collision here:https://brainly.com/question/33268757
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If he throws the ball (with mass 0.07 kg) with a speed of 28 m/s and there is no air resistance, how high does the ball go?
A potter's wheel decelerates from 50 rev/min to 30 rev/min in 5.0 s, with a constant deceleration. what is the magnitude of the deceleration?
The magnitude of the deceleration of the potter's wheel is 0.419 rad/s².
Explanation:To find the magnitude of the deceleration of the potter's wheel, we can use the formula for angular acceleration: a = (ωf - ωi) / t. Given that ωi (initial angular velocity) is 50 rev/min, ωf (final angular velocity) is 30 rev/min, and t (time) is 5.0 s, we can calculate the magnitude of deceleration as follows:
a = ((30 rev/min) - (50 rev/min)) / (5.0 s) = -4 rev/min²
Since 1 rev/min is equal to 0.1047 rad/s, we can convert the magnitude of deceleration to rad/s²:
a = (-4 rev/min²) * (0.1047 rad/s / 1 rev/min) = -0.419 rad/s²
Therefore, the magnitude of the deceleration is 0.419 rad/s².
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How old was the theory of plate tectonicsâthe defining theory of all earth scienceâwhen man first walked on the moon?
Which labels, if placed from left to right, best complete the timeline? Z, X, Y
Y, Z, W
W, X, Z
Y, Z, X
Answer:
The answer is A.
Explanation:
I took the test and got the answer.