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**[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.

x = (15 cm)cos[(5 rad/s)t + /2 rad)]

(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