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Two astronauts are 137m away from their spacecraft and both are untethered. The larger one of...

Two astronauts are 137m away from their spacecraft and both are untethered. The larger one of mass “m” (including the mass of the spacesuit etc.) has plenty of oxygen while his partner is running low.

a. How hard must he push her if she has a mas of “m” so that she can make it back to spacecraft in time to be rescued if her oxygen will only last 2 more minutes?

b. How far away from the spacecraft will he be when she collides with it?

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