Posted by **johnny** on Sunday, October 2, 2011 at 2:08am.

A horizontal spring with k=35N/m is compressed .085m and used to launch a .075kg marble. find the marble's launch speed. Repeat for a vertical launch.

- Physics 180 -
**drwls**, Sunday, October 2, 2011 at 2:51am
Use conservation of energy.

Compressed spring potential energy = Launch kinetic energy

(1/2) k X^2 = (1/2) M Vo^2

X is the amount of spring compression.

Solve for Vo.

Vo = X*sqrt(k/M)

The launch speed will be nearly the same for a vertical or horizontal launch, but you will need to account for gravitation potential energy change, M g X, when the spring releases the marble in the vertical case.

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