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Projectile from spring

Student 3057 8 years ago updated by Physics Tutorial Center Staff 8 years ago 1

To fire a projectile of mass m upward from a spring gun, you push the projectile down against a spring of elastic constant k and let it go. In terms of k and m, how far down must you compress the spring so that on release the projectile will go further upward than the end of the spring?

Answer

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This problem could be evaluated the following 2 methods: energy conservation or balancing forces.

(1/2)*kx^2 = (1/2)*mv^2

or

kx = ma


Then, you solve the equation for either v or the second order equation depending the approach you choose.


Afterwards, you should simply find the distance that is necessary to go past that length l that you choose for x.