Question 3 of 12 Map Sapling Learning macmillan learning Mickey, a daredevil mou

Question

Question 3 of 12 Map Sapling Learning macmillan learning Mickey, a daredevil mouse of mass M, 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 k and is initially compressed a distance D from its relaxed position. If Mickey has a constant horizontal speed V while he is flying through the air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height hm in terms of M, V, D, k, and g. Previous Sive Up & View Solution Check Answer ) Next Exit Hint

Explanation / Answer

from the conservation of energy

initial total energy = final total energy

1/2kD^2= mgh+1/2mv^2

mgh = 1/2kD^2-1/2mv^2

h= (kD^2-mv^2)/2mg

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