A 3.00 kg block is released from rest at the elevated end A of a frictionless tr

Question

A 3.00 kg block is released from rest at the elevated end A of a frictionless track that slopes down to a point B and continues horizontally to a point D, beyond which is a rough horizontal surface (friction). The speed of the block at a point C between B and D is 7.20m/s, and the block comes to rest after sliding 2.77 m along the rough surface.

a) (4 points) Find the work done on the block by the normal force exerted by the track. WN = ____________________

b) (4 points) Find the work done on the block by the gravitational force exerted by the earth.

Wg =_____________________

c) (4 points) Find the height of A with respect to B.

Explanation / Answer

a) work done by normal force=0 as no displacement in rthat direction; b) work done by gravity=0.5mv^2=0.5*3*7.20*7.20311.04 N.m ; c) mgh=0.5mv^2 ; h=2.64 m

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