1) 2) 3) 4) 5) An object with total mass m total = 7 kg is sitting at rest when
ID: 1262165 • Letter: 1
Question
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An object with total mass m total = 7 kg is sitting at rest when it explodes into two pieces. The two pieces, after the explosion, have masses of m and 3m. During the explosion, the pieces are given a total energy of E = 48 J. 1) What is the speed of the smaller piece after the collision? m/s 2) What is the speed of the larger piece after the collision? m/s 3) If the explosion lasted for a time t = 0.024 s, what was the average force on the larger piece? N 4) What is the magnitude of the change in momentum of the smaller piece? kg-m/s 5) What is the magnitude of the velocity of the center of mass of the pieces after the collision? m/sExplanation / Answer
total mass=7kg
m1+m2=7
m+3m=7
m=1.75kg
smaller piece is having=1.75kg
larger piece is having=3*1.75
=5.25kg
conservation of momentum
m1V1=m2V2
1.75V1=5.25V2
V1=3V2
TOTAL KINETICENERGY=48J
0.5m1V12+0.5m2V22=48
m1V12+m2V22=96
1.75*9*V22+5.25V22=96
V22=96/21
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V2=2.13m/s
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V1=3V2
=3*2.13
=6.41m/s
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average force=change in momentum/time
=25.92/0.024
=1080.12N
4)
momentum of smaller piece
P=11.2175kg-m/s
5)
velocity of centre of mass
v=3.2m/s
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