Two astronauts, one of mass 64 kgkg and the other 86 kgkg , are initially at rest together in outer space. They then push each other apart. Part A How far apart are they when the lighter astronaut has moved 10 mm

Given :

Two astronauts, one of mass 64 kg and the other 86 kg , are initially at rest together in outer space.

To Find :

How far apart are they when the lighter astronaut has moved 10 mm.

Solution :

Since, there is no force in space.

So, applying conservation of momentum :

We know, distance travelled by smaller astronaut is :

For bigger astronaut distance travelled :

Therefore, they are ( 10 + 7.44 ) = 17.44 mm apart from each others.

Hence, this is the required solution.

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