Energy As shown in the diagram. a block with a mass of m slides on a frictionles

Question

Energy As shown in the diagram. a block with a mass of m slides on a frictionless, horizontal surface with a constant velocity of v. It then collides with a spring that has a spring constant of k. The block fully compresses the spring, comes to rest briefly, and then moves in the opposite direction with a velocity of-vi. 2. Examine the situation shown in part (b) of the diagram. a. What is the kinetic energy of the block? b. What is the potential energy associated with the block?s position? c. What is the mechanical energy for this system?

Explanation / Answer

2)

a)in this problem block is intially moving with velocity vi

after that it is attached to spring

kinetic energy of block=0.5mv2

b)

due to blocks velocity spring is compressed by some distance

work done on spring is negative because intal distance is more when compared to final distance

so this kinetic energy is converted into potential energy stored in the spring

c)

according to law conservation of energy total energy remains constant

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