Solved: Pushing a Cat. Your cat “Ms.” (mass 7.00 kg) is

Chapter 6, Problem 82P

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QUESTION:

 Problem 82P

Pushing a Cat. Your cat “Ms.” (mass 7.00 kg) is trying to make it to the top of a friclionless ramp 2.00 m long and inclined upward at 30.0° above the horizontal. Since the poor cat can’t get any traction on the ramp, you push her up the entire length of the ramp by exerting a constant 100-N force parallel to the ramp. If Ms. takes a running start so that she is moving at 2.40 m/s at the bottom of the ramp, what is her speed when she reaches the top of the incline? Use the work-energy theorem.

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QUESTION:

 Problem 82P

Pushing a Cat. Your cat “Ms.” (mass 7.00 kg) is trying to make it to the top of a friclionless ramp 2.00 m long and inclined upward at 30.0° above the horizontal. Since the poor cat can’t get any traction on the ramp, you push her up the entire length of the ramp by exerting a constant 100-N force parallel to the ramp. If Ms. takes a running start so that she is moving at 2.40 m/s at the bottom of the ramp, what is her speed when she reaches the top of the incline? Use the work-energy theorem.

ANSWER:

Solution 82P

Step 1:

Mass of the cat is

Length of the ramp is

Angle of inclination

Force applied is

Speed of the cat at bottom of the ramp is

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