In the figure below, block 1 (mass 2.2 kg) is moving rightward at 10 m/s and blo
ID: 2244284 • Letter: I
Question
In the figure below, block 1 (mass 2.2 kg) is moving rightward at 10 m/s and block 2 (mass4.8 kg) is moving rightward at 2.8 m/s. The surface is frictionless, and a spring with spring constant of 1120 N/m is fixed to block 2. When the blocks collide, the compression of the spring is maximum at the instant the blocks have the same velocity. Find the maximum compression.
m
Explanation / Answer
common velocity:
mv+MV=(m+M)v'
=>2.2*10+4.8*2.8=7v'
v'=5.06
Initial energy =Final energy
so 0.5*2.2*100+0.5*4.8*2.8*2.8=0.5*7*5.06*5.6+0.5 *1120 *x^2
x=26cm