Mickey, a daredevil mouse of mass .0250 kg in attempting to become the world\'s

Question

Mickey, a daredevil mouse of mass .0250 kg in 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 a force constant of 74.5 N/m and is initially compressed a distance of .148 m from its relaxed position. If Mickey has a constant horizontal speed of 2.22 m/s while he is flying through the air, how high above his initial location in the gun does Mickey soar?

Answer is: 3.08 m

- Please, if someone could show how to get this answer it would be much appreciated!

Explanation / Answer

given that mass = 0.025 kg

force constant k = 74.5 N/m

speed v = 2.22 m/s

xi = 0.148 m

from conservation of energy

PEspring = mgh+1/2mv^2

h = (1/2kxi^2-1/2mv^2)/mg

h = (1/2*74.5*0.148^2-1/2*0.025*2.22^2)/0.025*9.8

h = (0.816-0.0616)/0.245

h = 3.079 m

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