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Lostsunrise [7]
3 years ago
8

A 500-kg roller coaster car travels with some initial velocity along a track that is 5 m above the ground. The car goes down a s

mall hill and then coasts back up a higher hill. The second hill is 12 m above the ground. What must the initial velocity of the car be for the car to be going 3 m/s at the top of the second hill?
A.3.0 m/s
B.5.0 m/s
C.9.8 m/s
D.12 m/s
Physics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

12m/s

Explanation:

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Answer: E = 7394.6N/C

Explanation:

Please find the attached file for the solution

8 0
3 years ago
A student uses a spring to launch a marble vertically in the air. The mass of the marble is
Fed [463]

Answer:

the maximum height reached by the marble is 11.84 m.

Explanation:

Given;

mass of the marble, m = 0.02 kg

extension of the string, x = 0.08 m

force applied to the string, F = 58 N

Apply the principle of conservation of energy;

elastic potential energy = gravitational potential energy

¹/₂fx = mgh

h = \frac{Fx}{2mg} \\\\h = \frac{58 \ \times \ 0.08}{2 \ \times \ 0.02 \ \times \ 9.8} \\\\h = 11.84 \ m

Therefore, the maximum height reached by the marble is 11.84 m.

5 0
3 years ago
A ball with a mass of 3kg is dropped from the top of a building this is 20m high. what is the velocity of the ball when it is 10
anzhelika [568]

Answer:

Velocity=14[m/s]

Explanation:

We can solve this problem by using the principle of energy conservation, where potential energy becomes kinetic energy.

In the attached image we can see the illustration of the ball falling from the height of 20 meters, at this time the potential energy will have the following value.

Ep=m*g*h\\where:\\m=3[kg]\\h=20[m]\\

Ep=3*9.81*20\\Ep=588.6[J]

When the ball passes through half of the distance (10m) its potential energy will have decreased by half as shown below.

Ep=3*9.81*10\\Ep=294.3[m]

If we know that potential energy is transformed into kinetic energy, we can find the value of speed.

Ek=\frac{1}{2} *m*v^{2} \\therefore\\v=\sqrt{\frac{Ek*2}{m} } \\v=\sqrt{\frac{294.3*2}{3} } \\\\v=14[m/s]

7 0
4 years ago
12. An astronaut whose mass is 70 kg on Earth's surface 12 poi
Vadim26 [7]

Her mass is still 70 kg

Explanation:

The mass of an object is an intrinsec property of the object that gives a measure of the "amount of matter" inside the object.

Being an intrinsec property, it depends only on the object itself, not on its location: therefore, the mass of an object is always the same in different locations. Therefore, the mass of the astronaut in the spacecraft is still the same as if she was on the earth, 70 kg.

On the contrary, the weight of an object is the force of gravity acting on the object, and it is given by

F=mg

where

m is the mass

g is the acceleration of gravity

While m is always the same, the value of g changes based on the location: therefore, the weight of an object changes  depending on the location.

Learn more about gravity:

brainly.com/question/1724648

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3 0
3 years ago
Atoms with certain characteristics are radioactive. Which of those below will
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Answer:

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8 0
2 years ago
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