(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A child's toy consists of a block that attaches to a table with a suction cup, a spring connected to that block, a ball, and a launching ramp. The spring has a spring constant k, the ball has a mass m, and the ramp rises a height y above the table, the surface of which is a height H above the floor.

Initially, the spring rests at its equilibrium length. The spring then is compressed a distance s, where the ball is held at rest. The ball is then released, launching it up the ramp. When the ball leaves the launching ramp its velocity vector makes an angle theta with respect to the horizontal.

Throughout this problem, ignore friction and air resistance.

With what speed will the ball hit the floor?

Express the speed in terms of k, s, m, g, y, and/or H.

2. Relevant equations

Ki+Ui=Kf+Uf

3. The attempt at a solution

0.5ks^2+0.5m(vi^)2+mg(hi)=0.5m(vf)^2+mg(hf)

vf=sqrt[(0.5ks^2)+(0.5m(vi)^2)+0.5m]

where vi=sqrt[(ks^2-2mgy)/m]

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# Homework Help: Conservation of Energy child's toy

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