(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A mass m1 = 8 kg is at rest on a frictionless horizontal surface and connected to a

wall by a spring with spring constant k = 70 N/m as shown in the figure. A second mass

m2 = 5 kg is moving to the right at vo = 17 m/s. The two masses collide and stick

together. How long will it take after the collision to reach the maximum compression of

the spring?

2. Relevant equations

3. The attempt at a solution

I just want to make sure I did this right...

So solve for the maximum compression distance using energy conservation. The spring has no energy and there is no energy change for potential gravity. So, 1/2*m*v^2=1/2*k*x^2; solving for x I got 5.75. Next we know F=-kx so ma=-kx; solving for a I got a=-30.96. Putting this into kinematics gives us .55s

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Spring and maximum compression time

**Physics Forums | Science Articles, Homework Help, Discussion**