A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4067 N/mafter being compressed a distance x, = 0.544 m from the spring's unstretched length. The floor is frictionless except fora rough patch a distance d = 2.6 m long. For this rough path, the coefficient of friction is H, = 0.43.1) 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, = 0.159 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 patchwhen released?7) If the spring was compressed three times farther and then the block is released, the work done on the block by thespring as it accelerates the block is:the samethree times greaterthree times lessnine times greaterO nine times less

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Description: A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4067 N/mafter being compressed a distance x, = 0.544 m from the spring's unstretched length. The floor is frictionless except fora roug

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A block with mass m= 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k= 4067 N/m after being compressed a distance x, - 0.544 m from the spring's unstretched length. The floor is frictionless except for a rough patch a distance d= 2.6 m long. For this rough path, the coefficient of friction is p, = 0.43. 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?

A block with mass m= 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k= 4067 N/m after being compressed a distance x, - 0.544 m from the spring's unstretched length. The floor is frictionless except for a rough patch a distance d= 2.6 m long. For this rough path, the coefficient of friction is p, = 0.43. 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?

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4067 N/m
after being compressed a distance x, = 0.544 m from the spring's unstretched length. The floor is frictionless except for
a rough patch a distance d = 2.6 m long. For this rough path, the coefficient of friction is H, = 0.43.
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, = 0.159 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?
7) If the spring was compressed three times farther and then the block is released, the work done on the block by the
spring as it accelerates the block is:
the same
three times greater
three times less
nine times greater
O nine times less

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