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Physics Center of Mass General MCQ (Single Correct)

A projectile is thrown horizontally from top of a tower of height 20 m with a velocity 10 m/sec. It strikes the smooth ground whose co-efficient of restitution is 0.5. [g = 10 m/s 2 ] (neglect friction):

A
The time elapsed (in seconds) after projection when it strikes the ground 1 st time will be 4sec.
B
The time elapsed (in seconds) after projection when it strikes the ground 1 st time will be 2sec.
C
The time elapsed (in seconds) after projection when it strikes the ground 2 nd time will be 3sec.
D
The time elapsed (in seconds) after projection when it strikes the ground 2 nd time will be 4sec.

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

(b, d)

t AB = = 2 sec

Before collision at B

V X = 10 m/s V y = 20 m/s

After collision at B.

V X ' = 10 m/s V y ' = eV y = × 20 = 10 m/s

t BC = = 2 sec

T = t AB + t BC = 4 sec.

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