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Two identical balls of mass 'm' are moving with velocities 'v' and '2v' along the same line and undergo a perfectly inelastic collision. The fraction of the initial kinetic energy transformed into heat is:
1/10
1/5
1/2
9/10
A bullet of mass 'm' moving with velocity 'v' strikes a stationary block of mass 'M' suspended by a string and gets embedded in it. If the combined system rises to a height 'h', the coefficient of restitution (e) is:
0
\sqrt{\frac{2gh}{v}}
\frac{M}{m+M}\sqrt{\frac{2gh}{v}}
\frac{m}{m+M}\sqrt{\frac{2gh}{v}}
Two particles of masses 'm' and '2m' moving in opposite directions collide head-on elastically with velocities 'v' and 'v/2' respectively. The velocity of the particle of mass 'm' after the collision is:
v/2
-v
2v
-v/2
A bullet of mass moving horizontally with a velocity of strikes a wooden block of mass which is suspended by a light inextensible string of length . As a result, the center of gravity of the block rises a vertical distance of . The speed of the bullet after it emerges out horizontally from the block will be
120 m/s
280 m/s
100 m/s
300 m/s
A projectile is fired horizontally at into a block suspended by a string. The block rises vertically. What is the projectile's speed after exiting the block?
100 m/s
201.3 m/s
302.6 m/s
403.9 m/s
A small object of mass is fired horizontally at into a pendulum bob initially at rest. The pendulum rises . Determine the object's speed after passing through the bob.
1.2 m/s
3.75 m/s
3.18 m/s
600 m/s
A ball is shot horizontally at into a block hanging from a long string. The block rises . Find the ball's exit speed.
250 m/s
150 m/s
50 m/s
100 m/s