Question

A 70.0-kg astronaut pushes to the left on a spacecraft with a force   in "gravity-free" space. The spacecraft has a total mass of 1.0 × 104 kg. During the push, the astronaut accelerates to the right with an acceleration of 0.36 m/s2.

Determine the magnitude of the acceleration of the spacecraft.
10
newtons 2nd law states F =m*A

Astronaut: F = 70*0.36 = 25.2 N

Spacecraft: 25.2 = 10000 * a

a = 25.2 / 10^4 m/s/s = 25.2*10^-4 = 0.00252m/s/s in a leftward direction

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