If the spring is compressed a distance of 0.144 m and the gun fired vertically as shown, the gun can launch a 18.5g projectile from rest to a maximum height of 19.5 m above the starting point of the projectile. Neglecting all resistive forces, determine the spring constant

Determine the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0)

1 answer

well, the Potential energy in the spring must equal the change in PE of the projectile.

1/2 k x^2=mgh

solve for k

Then speed of the projectile at equilibrum

1/2 kx^2=1/2 m v^2 solve for v.