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Q.

Two bodies A and B of masses 5.00kg  and  10.0kg  moving in free space in opposite directions with velocities 4.00m/s  and  0.50m/s  respectively undergo a head on collisions. The force F of their mutual interaction varies with time t according to the given graph. What can you conclude from the given information?
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a

Body B will move with velocity 1.75 m/s in reverse direction

b

Period of deformation is 0.20s

c

Coefficient of restitution is 0.5

d

Body A will move with velocity 0.5 m/s in the original direction

answer is A, B, D.

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Detailed Solution

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V=5(4)10(0.5)15=1m/s 5(41)=12(150)(t0) t0=0.2sec,  Area  total  =22.5 5(4)22.5=5V1  10(0.5)+22.5=10V2 V1=0.5;  V2=1.75;   e=0.5

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Two bodies A and B of masses 5.00 kg  and  10.0 kg  moving in free space in opposite directions with velocities 4.00 m/s  and  0.50 m/s  respectively undergo a head on collisions. The force F of their mutual interaction varies with time t according to the given graph. What can you conclude from the given information?