Two perfectly elastic objects and of identical mass are moving with velocities 15 m/s and 10 m/s respectively, collide along the direction of line ioiningthem. Their velocities after collision are respectively
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a
10m/s,15m/s
b
20m/s,5m/s
c
0m/s,25m/s
d
5m/s,20m/s
answer is A.
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Detailed Solution
IN a perfectly elastic collision if the colliding bodies or particles have equal masses then after collision they will exchange their velocities. Let m be the identical mass of two objects ,1 and B we have 15m+10m=mv1+mv2 25=v1+v2 In elastic collision, v2−v1u1−u2=1 or v2−v115−10=1 ∴ v2−v1=5 Solving eqs. (1) and [2), we 8et V2=15m/s and v1=10m/s