Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A 0.17 kg block oscillates back and forth along a straight line on a frictionles

ID: 1701027 • Letter: A

Question

A 0.17 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by
x = (12 cm)cos[(12 rad/s)t + /2 rad]
(a) What is the oscillation frequency (in Hz)? (b) What is the maximum speed acquired by the block? (c) At what value of x does this occur? (d) What is the magnitude of the maximum acceleration of the block? (e) At what positive value of x does this occur? (f) What force, applied to the block by the spring, results in the given oscillation?
Give your answers in centimeter-based units, where applicable.

(a) 1.9 Hz (correct)
(b) 144 cm/s (correct)
(c) 0 cm   (correct)

(d) 1728 cm/s^2 (correct)
(e) 12 cm (correct)
(f) i dont know... help

for (f) i tried hookes law mg=kx and then applied it to Fs=-kx

Explanation / Answer

reposted with more points.