An obnoxious brat assigns his 0.0215-kilogram pet mouse Mickey the role of stunt

Question

An obnoxious brat assigns his 0.0215-kilogram pet mouse Mickey the role of stunt mouse by stuffing him into a spring gun and shooting him up into the air at some angle. The gun's spring has a force constant of 51.1 N/m and is initially compressed 0.129 m. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.07 m/s. How high above his initial location in the gun does Mickey soar? (In case you are worried, a miniature parachute opens at this point and Mickey lands safely. The brat is slightly less obnoxious than we thought.) Take g = 9.81 m/s2. Number m

Explanation / Answer

(1) Energy from spring = 1/2 . k . x^2 = 0.5 . 51.1 . 0.129^2=0.425

(2) Energy that is still KE = 1/2 . m . v^2 = 0.5 . 0.0215 . 2.07^2=0.046

(3) The rest of the energy must be in GPE = m . g. h = 0.0215 . 9.81 . h

Take (2) from (1) and the remainder = (3)

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