# Simple Harmonic Motion question

[SOLVED] Simple Harmonic Motion question

1. Homework Statement
A 0.27 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by the following equation.
(a) What is the oscillation frequency? .796 Hz
(b) What is the maximum speed acquired by the block? 75cm/s
At what value of x does this occur? 0cm
(c) What is the magnitude of the maximum acceleration of the block? 375cm/s^2
At what values of x does this occur? (Type your answers in any order. If there is only one answer, type 'none' in the second box.) -15cm 15cm
d) What force, applied to the block, results in the given oscillation?
2. Homework Equations
x(t)=Xm Cos(wt+phi)
F=-kx

3. The Attempt at a Solution
I solved parts athrough c but I was not sure what to do for part d.
I had already solved for k in part a so I substituted the values for k and Xm into the F=-kx equation
F=-6.75(N/m) .15m=1.0125N
the form webassign wants the answer in is (_____ N/cm)x