- #1
colmes
- 4
- 0
Homework Statement
Mass 1 weighs 10kg and has a velocity of 5m/s [E], Mass 2 weighs 5 kg and has a velocity of 8m/s[W]. Additionally, mass 2 has a spring attached to it with k = 2000N/m. The two masses collide head-on in a perfectly elastic collision. What is the compression of the spring and what is the velocity of the two masses after the collision?
Homework Equations
m1v1 + m2v2 = (m1+m2)v'
Energy of Spring = 0.5k(dx)²
0.5mv'² + 0.5k(dx)² = 0.5m1(v1)² + 0.5m2(v2)²
The Attempt at a Solution
I was able to calculate the compression of the spring by using conservation of momentum and energy but I am not sure how I should find the velocities of the two masses after the collision. Should I use these equations below?