A 140 g block on a frictionless table is firmly attached to one end of a spring

Question

A 140 g block on a frictionless table is firmly attached to one end of a spring with k = 21 N/m. The other end of the spring is anchored to the wall. A 28 g ball is thrown horizontally toward the block with a speed of 6.0 m/s. What is the maximum compression of the spring? Express your answer to two significant figures and include the appropriate units. Repeat part A for the case of a perfectly inelastiecollision. Express your answer to two significant figures and include the appropriate units. Repeat part B for the case of a perfectly inelastiecollision. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

incase of perfectly inelastic collision

common speed of the ball and block is 1 m/s

then using law of conservation of energy

0.5*(m+M)*v^2 = 0.5*k*x^2

(28+140)*1^2 = 21*x^2

comprerssion is x = 2.82 m

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