Conservation of Energy
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A system of a block of mass 400 𝑔 and a spring with the force constant 50 N/m is oscillating on a frictionless surface as shown in the diagram below. The amplitude of this oscillation is 20 𝑐𝑚. Another block with a mass of 200 𝑔, moving toward the right in the diagram below, strikes the 400 𝑔 mass at the instant when the spring is upstretched and sticks to it on impact. The resulting system is observed to oscillate with an amplitude of 30 𝑐𝑚.
a. What is the period of oscillation when the two blocks stick together?
b. Was the 400 𝑔 mass moving towards the left or right when the other
block hit it? Explain your answer.
c. What was the speed of the 200 𝑔 mass the instant before it hit the
other block?