An astronaut (145 kg including space suit) is on a space capsule (1600 kg). The

Question

An astronaut (145 kg including space suit) is on a space capsule (1600 kg). The astronaut pushes off using her hands and acquires a speed of 2.75 m/s. (Use the frame of reference as that of the capsule before the push-off.) Draw two labeled diagrams (include coordinate system) - one before and one after the push-off. Determine the velocity of the space capsule after the push-off. If the push lasts 0.350 s, determine the average force that the astronaut exerted on the capsule. Determine the kinetic energy of the astronaut after the push-off. Determine the impulse on the astronaut.

Explanation / Answer

(b)

By conservation of momentum    m * v = M *V   

V = v * m / M = 145 kg / 1600 kg * 2.75 m/s = 0.249 m/s

(c)

F * t = p

here p(momentum) = m * v = M * V

F = 145 kg ( 2.75 m/s - 0)/0.350 s = 1139.28 N

(d)

K = 1/2 m v^2 = 1/2 * 145 * ( 2.75)^2 = 548.28 J

(e)

Impulse = del P = 145 ( 2.75 - 0) =398.75 N s

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