Question

A block with mass m = 14 kg rests on a frictionless table and is
accelerated by a spring with spring constant k = 4399 N/m after
being compressed a distance x_{1} = 0.468 m from the
spring’s unstretched length. The floor is frictionless except for a
rough patch a distance d = 2 m long. For this rough path, the
coefficient of friction is μ_{k} = 0.48.

1)How much work is done by the spring as it accelerates the block?

2)What is the speed of the block right after it leaves the spring?

3)How much work is done by friction as the block crosses the rough spot?

4)What is the speed of the block after it passes the rough spot?

5)Instead, the spring is only compressed a distance
x_{2} = 0.125 m before being released. How far into the
rough path does the block slide before coming to rest?

6)What distance does the spring need to be compressed so that the block will just barely make it past the rough patch when released?

Answer #1

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