A mass $$\(m\)$$ is resting on a horizontal frictionless surface attached to a spring of spring constant $$\(k\)$$. At time $$\(t=0\)$$, the mass is given a sharp blow, causing it to move to the right with speed $$\(v\)$$. When is the next time the mass will have this speed?

A.
\(t=(1 / 4 \pi) \sqrt{m / k}\)
B.
\(t=(1 / 2 \pi) \sqrt{m / k}\)
C.
\(t=(1 / \pi) \sqrt{m} / k\)
D.
\(t=\pi \sqrt{m / k}\)
E.
\(t=2 \pi \sqrt{m / k}\)
Physics C(M)
AP
College Board
Exam No:66914cdf73227159a6b1733b Year:2024 Question No:5

Answer:

D

Knowledge points:

6.1 Simple Harmonic Motion, Springs, and Pendulums

Solution:

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