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Question: A astronauts Mr. X and Mr. Y float in gravity zero space with no relative velocity to one another. M...

A astronauts Mr. X and Mr. Y float in gravity zero space with no relative velocity to one another. Mr. Y throws a mass of 5 kg towards X with speed 2 ms-1. If Mr. X catches it the changes in velocity of X and Y are

A

0.21 ms-1, 0.80 ms-1

B

0.80 ms-1, 0.21 ms-1

C

0.12 ms-1, 0.08 ms-1

D

0.08 ms-1, 0.12 ms-1

Answer

0.08 ms-1, 0.12 ms-1

Explanation

Solution

Using conservation of momentum,

(120 + 5)vx = 5 × 2

or vx = 10125\frac { 10 } { 125 } = 0.08ms-1

Also (90 - 5)vy = 5 × 2

or vy =1085\frac { 10 } { 85 } =0.12 ms-1