A 110kg football player runs with a velocity of 8 m/s East and runs into a stationary, 80 kg referee standing on the field causing the referee to fly forward at 5 m/s. What is the final velocity of the football player?
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11th
Physics
Work, Energy and Power
Collisions in Two Dimensions
A railway wagon of mass 200...
PHYSICS
A railway wagon of mass 2000 kg moving with a velocity of 18 km/h collides head-on with stationary wagon of mass 3000 kg. If the two wagons move together after collision, calculate (i) their common velocity and (ii) loss of kinetic energy due to collision.
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ANSWER
M
1
=2000kg M
2
=3000kg and v
1
=18km/h=5m/s and v
2
=0
Let final common velocity be v
Using conservation of momentum-
(M
1
+M
2
)v=M
1
v
1
+M
2
v
2
⟹5000v=2000×5
⟹v=2m/s
Initial K.E.=K
1
=
2
1
M
1
v
1
2
=
2
1
2000×5
2
=25000J
Final K.E.=K
2
=
2
1
(M
1
+M
2
)v
2
=
2
1
5000×2
2
=10000J
Loss in K.E=ΔK=K
1
−K
2
=15000=15kJ