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+- PSS 6.1 Work and Kinetic Energy Learning Goal: To practice Problem-Solving St

ID: 1260583 • Letter: #

Question

+- PSS 6.1 Work and Kinetic Energy Learning Goal: To practice Problem-Solving Strategy 6.1 Work and Kinetic Energy. Your cat Ms. (mass 9.00kg ) is trying to make it to the top of a frictionless ramp 2.OOrn long and inclined 19.0 degree 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 46.0N force parallel to the ramp. If Ms. is moving at 1.60 m/s at the bottom of the ramp, what is her speed when she reaches the top of the incline? Part C What is the cat?s speed v2 when she reaches the top of the incline? Express your answer ?n meters per second to three significant figures.

Explanation / Answer

The ramp is 2.00 m long at 19 degrees, hence, it is

h = 2.00sin19 = 0.6511 m high.

Thus, by Work of nonconservative force,

Wncon = delta KE + delta PE

F d = 1/2mvf^2 - 1/2mvi^2 + mgh

where d = 2.00 m = length of the incline

Solving for vf,

vf = 3.20 m/s   [ANSWER]