Two blocks slide frictionlessly on the track shown below. Block A has mass 1.7 k

Question

Two blocks slide frictionlessly on the track shown below. Block A has mass 1.7 kg, Block B has mass 2.89 kg and the spring has spring constant 8,566 N/m. Block A is released from rest at an initial height, h = 0.308 m, then has a perfectly elastic collision with Block B, initially at rest. Block B travels to the right while Block A rebounds to the left. As Block B hits the spring, what is the maximum compression of the spring? Write your answer below to three significant figures, in centimeters (cm).

Block B compresses the spring and Block A travels up the ramp on the left. Then Block A accelerates down the ramp and Block B accelerates as the spring pushes it back, and the two blocks once again have a perfectly elastic collision on the horizontal portion of the track. It can be shown that after this elastic collision, Block B is once again at rest while Block A rebounds to the left. The maximum height that Block A now attains is H. What is the ratio of this final height, H, to the inital height, h? i.e., what is H/h? Answer

Explanation / Answer

maximum compression x = vb(mb/k)              = 3.306cm

H/h = 1

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