Here's the question:(adsbygoogle = window.adsbygoogle || []).push({});

"A spring-loaded toy gun is used to shoot a ball of mass m straight up in the air. The spring has spring constant k. If the spring is compressed a distance x_0 from its equilibrium position and then released, the ball reaches a maximum height h_max (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume x_0<<<h_max."

"Find , the muzzle velocity of the ball (the velocity of the ball at height above the equilibrium position). Express your answer in terms of given quantities."

I tried v = sqrt(2g(h_max-h)); but it didn't work.

I'm not sure if I should try v = sqrt[((kx_0^2)-(2mgh))/m], since the question suggested me after my first answer that g, h_max, and h are not relevant variables - in the past, for some weird reasons, the generic variables that are not given in the question worked.

Please help!

Another question is finding h_max; if h_max is not related to the previous question then how am I suppose to find it.

Thanks in advance,

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# Homework Help: Spring gun and muzzle speed

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