Question

A dart gun where you compress the spring and it shoots a rubber dart of a mass 0.122 kg. The dart is shot vertically and gains 2.50 m.
a) what speed did the dart leave the toy gun?
b) If the spring is compressed 0.125 m what is the elasticity coefficient of the spring?

Answer 1

Initial velocity=√(2gh)
h=height reached.

Spring constant=k
compression = x = 0.125m
Potential energy=(1/2)mv²=mgh
=(1/2)kx²
solve for k in
(1/2)kx² = mgh
k=2gh/x²

Answer 2

What happen to the m? It cancelled out?

Answer 3

Yes, but only in the first part.
m was inadvertently omitted in the second part, my apologies.
k=2mgh/x²

Answer 4

Thank you!

Answer 5

You're welcome! :)