- #1

- 8

- 1

## Homework Statement

A 0.200 kg object is attached to a horizontal spring with a spring constant of 77.0 N/m. The other end of the spring is attached to a wall in such a way that it rests on a frictionless horizontal surface. A 10.0 N force is exerted on the spring, causing it to compress

a) How far will the spring be compressed?

b) how much work is done on the spring to compress it?

c) Once the force on the spring is released, the spring and object are set into harmonic motion. What will the maximum speed of the object be? Explain where this speed will occur. (no friction and mass of spring is negligible)

d) What will spring's position be when v=1m/s?

## Homework Equations

Ee=1/2kx^2

## The Attempt at a Solution

a)

f=kx

x=f/k

x=0.13m

b)

Ee=1/2kx^2

=1/2(77)(0.13)^2

=0.649J

c)

1/2mv^2=1/2kx^2

1/2(0.2)v^2 = 0.649

v=2.54m/s

d)

1/2mv^2 = 1/2kx^2

0.1=1/2(77)x^2

2(0.1)/77=x^2

0.051m=x

Im not sure if for the last 2 questions I should have it as:

0.649=Epfinal+Ekfinal

0.649=1/2kx^2+1/2mv^2

Can someone please help me? Thank you very much