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An astronaut (mass 128 kg128 \mathrm{~kg}, with equipment) floats in space, 15.0 m15.0 \mathrm{~m} from his spacecraft and at rest relative to it. (a) In order to get back, he throws a 1.10kg1.10-\mathrm{kg} wrench at 5.40 m/s5.40 \mathrm{~m} / \mathrm{s} in the direction opposite the spacecraft. How much time does it take him to reach the spacecraft?

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Approach According to law of conservation of momentum, initial momentum of a system is equal to final momentum of the system.

m1u1+m2u2=m1v1+m2v2m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1} + m_{2}v_{2}

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