Question

# Suppose a 0.270 -kg mass on a spring-loaded gun that has been compressed 0.210 m has...

Suppose a 0.270 -kg mass on a spring-loaded gun that has been compressed 0.210 m has elastic potential energy of 24.0 J. How high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?

From the conservation of energy

Initial elastic potential energy = Final gravitational potential energy

there fore 24 J = mgh

height above the equilibrium point h = 24/mg = 24/(.270*9.8) = 9.07 meters

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