Mickey, a daredevil mouse of mass 0.0189 kg, is attempting to become the world\\

Question

Mickey, a daredevil mouse of mass 0.0189 kg, is attempting to become the world's first "mouse cannonball." He is loaded into a spring-powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant of 82.5 N/m and is initially compressed a distance of 0.131 m from its relaxed position. If Mickey has a constant horizontal speed of 2.21 m/s while he is flying through the air, how high above his initial location in the gun does Mickey soar? Take g = 9.81 m/s2. Show work step by step.

Explanation / Answer

The spring part - Ep = 1/2ks^2 (k = force constant, s = compressed distance)
m = 0.0189 Kg, g=9.81 m/s2

Energy conserved - Ep = Ek
1/2ks^2 = 1/2mv^2
Find v=?
Since you know V(x) and V, find V(y) and firing angle with pythagoras

Here's the part I don't get, how high above his location does he soar - is that the maximum height?

If so, s(y) = [u^2 sin^2 theta] / 2g

I think I've done it right.

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