SAT Subject Physics Practice Question 60: Answer and Explanation

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Question: 60

7. A block of mass m = 4 kg on a frictionless, horizontal table is attached to one end of a spring of force constant k = 400 N/m and undergoes simple harmonic oscillations about its equilibrium position (x = 0) with amplitude A = 6 cm. If the block is at x = 6 cm at time t = 0, then which of the following equations (with x in centimeters and t in seconds) gives the block’s position as a function of time?

A. x = 6 sin(10t + π)
B. x = 6 sin(10πt)
C. x = 6 sin(10πtπ)
D. x = 6 sin(10t)
E. x = 6 sin(10tπ)

Correct Answer: A

Explanation:

The only equation that gives x = 6 when t = 0 is the one in A.

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