Posted by Richard on Monday, November 3, 2008 at 12:08am.
The compressed potential energy of the spring is (1/2) k X^2.
This equals thesum of gravitational poteneital and kinetic energy at any altitude after it is launched.
(1/2) k (3)^2 = (1/2)M V^2 + M g H
V = 10 m/s when H = 5 m
Solve for k
For the additional height it travels, use conservation of energy to determine how much higher it goes when the velocity and KE goes to zero.
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