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Question

Question: Two bodies of masses 0.1 kg and 0.4 kg move towards each other with the velocities 1 m/s and 0.1 m/s...

Two bodies of masses 0.1 kg and 0.4 kg move towards each other with the velocities 1 m/s and 0.1 m/s respectively, After collision they stick together. In 10 sec the combined mass travels

A

120 m

B

0.12 m

C

12 m

D

1.2 m

Answer

1.2 m

Explanation

Solution

Velocity of combined mass,

v=m1v1m2v2m1+m2v = \frac { m _ { 1 } v _ { 1 } - m _ { 2 } v _ { 2 } } { m _ { 1 } + m _ { 2 } }= 0.1×10.4×0.10.5=0.12 m/s\frac { 0.1 \times 1 - 0.4 \times 0.1 } { 0.5 } = 0.12 \mathrm {~m} / \mathrm { s }

∴ Distance travelled by combined mass

=v×t=v \times t = 0.12 × 10 = 1.2 m.