An obnoxious brat assigns his 0.0187-kilogram pet mouse Mickey the role of stunt
ID: 1769060 • Letter: A
Question
An obnoxious brat assigns his 0.0187-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 96.5 N/m and is initially compressed 0.147 m. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.03 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.
Explanation / Answer
o.5*k*x^2 = 0.5*m*v^2 + m*g*h
(0.5*87.9*0.147*0.147) = (0.5*0.0217*2.11*2.11)+(0.0217*9.81*h)
h = 4.24 m