a body of mass 2.0kg make elastic collision with another body at rest and continues to move in the original direction with a speed equal to half of its original speed . find the mass of the second body.
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Explanation:
m
1
=2 kg
u
1
=4 m/s
v
1
=
4
u
1
=
4
4
=1 m/s
u
2
=0
since nothing is given so we would take it as elastic collision.
hence conservation of momentum is given by:
m
1
u
1
+m
2
u
2
=m
1
v
1
+m
2
v
2
2×4+0=2×1+m
2
v
2
m
2
v
2
=6
according to the conservation kinetic energy:
2
1
m
1
u
1
2
+
2
1
m
2
u
2
2
=
2
1
m
1
v
1
2
+
2
1
m
2
v
2
2
2×16+0=2×1+m
2
v
2
2
m
2
v
2
2
=30
m
2
v
2
m
2
v
2
2
=
6
30
v
2
=5 m/s
m
2
=1.2 kg
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