Two bodies A and B have the same masses. Initially, A is moving to the right with an initial velocity of 5 m/s,
and after two seconds, A covers a distance of 14 m. At that time A and B undergo completely inelastic
collision. If B is initially moving to the left with a velocity of 15 m/s, determine the velocity of both bodies
after collision.
Answers
Explanation:
PHYSICS
A body of mass 2 kg moving with a velocity 3 m/s collides with a body of mass 1 kg moving with a velocity of 4 m/s in opposite direction. If the collision is head on an completely inelastic, then :
This question has multiple correct options
November 22, 2019avatar
Mano Hamid
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ANSWER
Given : m
1
=2kg m
2
=1kg u
1
=3 m/s u
2
=4 m/s
Let the common velocity of the combined body be V
Mass of combined body M=2+1=3kg
Applying conservation of momentum :
2×3−1×4=3×V ⟹V=
3
2
m/s
Momentum of the system P=2×3−1×4=2 kg m/s
Loss in kinetic energy of the system due to collision ΔK.E=K.E
i
−K.E
f
ΔK.E=
2
1
(2)×3
2
+
2
1
(1)×4
2
−
2
1
(3)×(
3
2
)
2
⟹ΔK.E=
3
49
J