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Two bodies of masses 8 kg and 5 kg travelling in the same...

Two bodies of masses 8 kg and 5 kg travelling in the same direction with speeds x m/s and 2 m/s respectively collide. If after collision, they move together with a speed of 3.85 m/s, find, correct to the nearest whole number, the value of x.

A.

2

B.

5

C.

8

D.

13

Correct answer is B

(m1v1+m2v2)=(m1+m2)v (Inelastic momentum)

8x+(5×2)=(8+5)×3.85

8x+10=13×3.85=50.05

8x=50.0510=40.05

x