A 2.45 kg frictionless block is attached to an ideal spring with force constant

Question

A 2.45 kg frictionless block is attached to an ideal spring with force constant 330 N/m . Initially the spring is neither stretched nor compressed, but the block is moving in the negative direction at 10.5 m/s .

Part A

Find the amplitude of the motion.

Express your answer to three significant figures.

Part B

Find the maximum acceleration of the block.

Express your answer to three significant figures.

Part C

Find the maximum force the spring exerts on the block.

Express your answer to three significant figures.

Explanation / Answer

Given values are

m = 2.45 kg

k = 330 N/m

Vmax = 10.5 m/s

w = sqr(330/2.45) = 11.6 rad/s

Vmax = w* A

A = Vmax/w = 10.5/11.6 = 0.905 m

a = -w^2*A = - (11.6)^2*0.905 = 121.77 rad/s^2

F = -kA = -330*0.905 = 298.65 N

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