An obnoxious brat assigns his 22.3-gram pet mouse Mickey the role of stunt mouse
ID: 1965518 • Letter: A
Question
An obnoxious brat assigns his 22.3-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 66.3 N/m and is initially compressed 13.7 cm. When Mickey reaches maximum height, he has a horizontal velocity with a speed of 2.09 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
usingn the conservatiojn of energy to find the initial velocity
0.5kx^2 = 0.5mv^2
66.3( 0.137)2 = ( 22.3 x 10-3) v2
solving for v
v = 7.47 m/s apprx
v cos= 2.09 m/s
cos= 2.09/7.47
= 73.75 degree apprx
max height = ( vsin) ^2 /2g = ( 7.47sin73.75)2/ 19.6 = 2.624 m apprx