An obnoxious brat assigns his 20.9-gram pet mouse Mickey the role of stunt mouse
ID: 2116110 • Letter: A
Question
An obnoxious brat assigns his 20.9-gram 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 61.1 N/m and is initially compressed 13.5 cm. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.41 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. Assume that the mass of the spring is small enough that the spring's change in potential energy during the spring's expansion is negligible.
= ? m
Explanation / Answer
0.5*61.1*0.135^2 = m*g*h + 0.5*0.0209*2.41^2 ;
h =2.422 m