1) What force does the cable exert on the astronaut?

the cable exert a force on the astronaut ,the sameforce astronaut exert on the cable

so the force is F = 84.0 N

2) What is the astronaut's acceleration?

according to Newton's second law we have F=ma

so acceleration \(\displaystyle{a}={\frac{{{F}}}{{{m}_{{1}}}}}={\frac{{{84}}}{{{101}}}}={0.83}\frac{{m}}{{s}^{{2}}}\)

3) What force does the cable exert on the spacecraft?

The force that the cable exert on the spacecraft is F = 84.0 N

4) What is the acceleration of the spacecraft?

according to Newton's second law we have F = ma

so acceleration \(\displaystyle{a}={\frac{{{F}}}{{{m}_{{2}}}}}={\frac{{{84}}}{{{9.50}\cdot{10}^{{{4}}}}}}={8.84}\cdot{10}^{{-{4}}}\frac{{m}}{{s}^{{2}}}\)

the cable exert a force on the astronaut ,the sameforce astronaut exert on the cable

so the force is F = 84.0 N

2) What is the astronaut's acceleration?

according to Newton's second law we have F=ma

so acceleration \(\displaystyle{a}={\frac{{{F}}}{{{m}_{{1}}}}}={\frac{{{84}}}{{{101}}}}={0.83}\frac{{m}}{{s}^{{2}}}\)

3) What force does the cable exert on the spacecraft?

The force that the cable exert on the spacecraft is F = 84.0 N

4) What is the acceleration of the spacecraft?

according to Newton's second law we have F = ma

so acceleration \(\displaystyle{a}={\frac{{{F}}}{{{m}_{{2}}}}}={\frac{{{84}}}{{{9.50}\cdot{10}^{{{4}}}}}}={8.84}\cdot{10}^{{-{4}}}\frac{{m}}{{s}^{{2}}}\)