Physics Work, Energy, Power and Collision Telangana & AP CET Previous Year Question MCQ (Single Correct)

A box of mass moves on a horizontal frictionless table and collides with another box of mass initially at rest on the edge of the table at height . The speed of the moving box just before the collision is . The two boxes stick together and fall from the table. The kinetic energy just before the boxes strike the floor is (Assume, acceleration due to gravity, )

A
B

C
D

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Verified by Experts
The correct answer is:
D

The given situation can be shown as below.

By law of conservation of momentum, total momentum before collision total momentum after collision.

Thus, the two bodies move with the velocity of .
Applying law of conservation of energy.

Hence, the kinetic energy just before the boxes strike the floor is .

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