A cyclist and bike have total mass 52.9 kg. They travel 12.00 m up a rough slope inclined at 30.0° to the horizontal. The average resistive force is 25.0 N. Their speed decreases from 3.25 m s to 1.25 m s1. Use the work-energy theorem to calculate the work done by the cyclist in kJ. An object released from a height h strikes the ground with a velocity v. If the same object is now released from a height 3h, with what new velocity will it hit the ground? The effects of air

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Hi I need help with the problem below.

A cyclist and bike have total mass 52.9 kg. They travel 12.00 m up a rough slope inclined at 30.0°
to the horizontal. The average resistive force is 25.0 N. Their speed decreases from 3.25 ms to
1.25 m s-1.
8p
Use the work-energy theorem to calculate the work done by the cyclist in kJ.
An object released from a height h strikes the ground with a velocity v. If the same object is now
released from a height 3h, with what new velocity will it hit the ground? The effects of air
resistance can be neglected.
You may answer this question symbolically (aka derive the answer) or numerically (aka make up
numbers), but you must use work and energy principles to solve it.
Transcribed Image Text:A cyclist and bike have total mass 52.9 kg. They travel 12.00 m up a rough slope inclined at 30.0° to the horizontal. The average resistive force is 25.0 N. Their speed decreases from 3.25 ms to 1.25 m s-1. 8p Use the work-energy theorem to calculate the work done by the cyclist in kJ. An object released from a height h strikes the ground with a velocity v. If the same object is now released from a height 3h, with what new velocity will it hit the ground? The effects of air resistance can be neglected. You may answer this question symbolically (aka derive the answer) or numerically (aka make up numbers), but you must use work and energy principles to solve it.
Expert Solution
Step 1

Given:

The weight of the cyclist and the bike is 52.9 kg.

The inclination of the ramp is 30°.

The restrictive force is 25 N.

The speed decreases from 3.25 m/s to 1.25 m/s.

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