SAT Subject Physics Practice Question 57: Answer and Explanation

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Question: 57

4. A student measures the maximum speed of a block undergoing simple harmonic oscillations of amplitude A on the end of an ideal spring. If the block is replaced by one with twice the mass but the amplitude of its oscillations remains the same, then the maximum speed of the block will

A. decrease by a factor of 4
B. decrease by a factor of 2
C. decrease by a factor of
D. remain the same
E. increase by a factor of 2

Correct Answer: C

Explanation:

As we derived in Question 2, the maximum speed of the block is given by the equation vmax = . Therefore, vmax is inversely proportional to . If m is increased by a factor of 2, then vmax will decrease by a factor of .

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