- #1

smartdude00111

- 7

- 0

## Homework Statement

An object with a mass of 6kg falls 1.8m onto a spring with a spring constant of 2x10^3 N/m. At that instant, the velocity of the object is 4m/s. What is the compression of the spring and the max displacements of the spring.

m = 6kg

v = 4m/s

h = 1.8m

k = 2x10^3N/m

## Homework Equations

Gravitational potential = mgh

Elastic potential = (1/2)kx^2

Kinetic energy = (1/2)mv^2[/B]

## The Attempt at a Solution

(1/2)kx^2 = (1/2)mv^2

x = √((mv^2)/k)

x = √(((6)(4)^2)/2x10^3)

x = 0.219

This is my answer to a test question but many other people did it in different ways. Some used the floor as the reference point for y=0 where as I used the top of the spring at equilibrium.