Question

An astronaut floating (mass= 90 kg) in space got hit by a rock (mass= 200
Kg) which gained velocity of 2 m/s towards right. What will be the velocity
gained by the astronaut and in which direction he will move now?

Answer 1

Answer: 4.44 m/s

Explanation:

Astronaut mass m₁= 90kg    Space rock mass m₂= 200kg    v₂= 2m/s

∴v₁= ??

∴m₁v₁=m₂v₂   By Law of Conservation of momentum

∴ 90 v₁ = 200 × 2

∴ v₁ = 400/90

∴ v₁ = 4.44 m/s

Astronaut will move towards left i.e. opposite direction to the space rock.

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