An obnoxious brat assigns his 0.0211-kilogram pet mouse Mickey the role of stunt
ID: 2136763 • Letter: A
Question
An obnoxious brat assigns his 0.0211-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 64.3 N/m and is initially compressed 0.149 m. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.37 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
Apply PE = KE + PE
.5kx^2 = mgh + .5mv^2
(.5)(64.3)(.149)^2 = (.0211)(9.8)(h) + (.5)(.0211)(2.37)^2
h = 3.17 m