Question

You are designing a game for small children and want to see if the ball’s maximum speed is sufficient to require the use of goggles. In your game, a 15.0-g ball is to be shot from a spring gun whose spring has a force constant of 600 N/m. The spring will be compressed 5.00 cm when in use. How fast will the ball be moving as it leaves the gun and how high will the ball go if the gun is aimed vertically upward? What would be your recommendation on the use of goggles?

Answer 1

Try applying conservation of energy. The potential energy of the compressed spring is (1/2) k X^2 where k is the spring constant and X = 0.05 m

Show work for futher assistance.

Answer 2

I did it and found Ei = 7500N
then i solved in Ef = mv^2/2 + mgh and solved for h, which gave me 7500N - 7.5v^2/1.47 then i solved everything but it gives me 0, idk what im doing wrong