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A massless spring originally stretched between two opposing walls of a rectangul

ID: 1825090 • Letter: A

Question

A massless spring originally stretched between two opposing walls of a rectangular enclosure. Because of environmental degradation, the left wall developed cracks that continued to grow until they became so severe that a chunk of the wall pulled free from the left side. When the chunk reached the halfway point across the enclosure (x=0.4 m). it was moving at a speed of x=5 m/s. Assume the enclosure moves without friction, x is measured relative to the enclosure. The entire enclosure had a mass of 2.4 kg. and the mass of the broken chunk was 0.21 kg. What is the enclosure's velocity with respect to a stationary observer at the instant the small chunk is at the halfway point?

Explanation / Answer

momentum balance 0.21*5 = 2.4*v v = 0.4375 m/s

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