The right with an acceleration of o.36 m/s spacecrant hpshes to the let on a spa

Question

The right with an acceleration of o.36 m/s spacecrant hpshes to the let on a spacecraft with a force P in"gravity-free space has a total mass of 1.0 10* kg. During the push, the astronaut accelerates to the a) Det ermine the magnitude of the acceleration of the spacecraft b) which one of the following statements concerning this situation is true? AThe spacecraft does not move, but the astronaut moves to the right with a constant speed. The astronaut stops moving after he stops pushing on the spacecraft C) The force exerted on the astronaut is large D) The force exerted on the spacecraft is larger than the force exerted on the astronaut. r than the force exerted on the spacecraft. B) The velocity of the astronaut increases while he is pushing on the spacecraft

Explanation / Answer

11]

a]

F = Ma

where M = mass of the spaceship

for the astronaut, F' = ma = 70 x 0.36 = 25.2 N

by Newton's 3rd law, both these forces must be equal in magnitude (but acting in opposite directions)

therefore, F = 25.2 = 104a

=> a = 2.52 x 10-3 m/s2

this is the acceleration of the spaceship to the left.

b] While the astronaut keeps pushing, the acceleration remains non-zero but constant. Therefore, the velocity of the astronaut will increase. Hence the answer is [E].

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