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In: Physics

a 15 kg rock slides down a frictionless icy hill of height h= 20.0 m, starting...

a 15 kg rock slides down a frictionless icy hill of height h= 20.0 m, starting at the top of speed on the ground that offers kinetic v0 = 9m/s. Once it reaches the bottom (Point C) it continues horizontally on the ground that offers kinetic friction with uk=0.2. After traveling a distance = 110m to reach point D, it begins compressing a spring with spring constant 2 N/m

a. what is the speed of the rock when it reaches point C

b. How far will the rock compress the spring till it comes to a stop?

c. Once the spring is fully compressed , will the rock rebound? The coefficient of static friction between the rock and the ground is us = 0.8

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