Two astronauts masses 40 kg and 120 kg and in need of exercise, leave their spaceship for a game of tug of war. They position themselves one at each end of a 1000 m long massless rope. Then they both pull themselves along the rope with a constant force of 60N. A.) How long does the exercise last before the astronauts meet each other? B.) What is their relative speed when they meet?

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Chapter2: Motion In One Dimension
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Problem 2.45P: In Chapter 9, we will define the center of mass of an object and prove that its motion is described...
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Two astronauts masses 40 kg and 120 kg and in need of exercise, leave their spaceship for a game of tug of war. They position themselves one at each end of a 1000 m long massless rope. Then they both pull themselves along the rope with a constant force of 60N.

A.) How long does the exercise last before the astronauts meet each other?

B.) What is their relative speed when they meet?

C.) Assuming that neither astronaut is tied on to the rope, what would happen if the heavy astronaut were strong enough to pull with a force of three times the lighter one? 

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