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Physics Center of Mass Collision MCQ (Single Correct)

Two smooth spheres made of identical material having masses ‘m’ and 2m undergoes an oblique impact as shown in figure. The initial velocities of the masses are also shown. The impact force is along the line joining their centres along the x-axis. The coefficient of restitution is . The velocities of the masses after the impact and the approximate percentage loss in kinetic energy.

A
; , 15%
B
; , 20%
C
; , 25%
D
; , 20%

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The correct answer is:
C

; , 25%

Along line of impact

coefficient of restitution

e = ...(i) ∴ V =

Velocity perpendiculer to the line of impact remain same.

final velocity of 2m

= for m, V =

% Loss

= × 100 = 25%

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