Question

# An astronaut is tethered by a strong cable to a spacecraft. The astronaut and her spacesuit have a total mass of 101kg , while the mass of the cable is negligible. The mass of the spacecraft is 9.50

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An astronaut is tethered by a strong cable to a spacecraft. The astronaut and her spacesuit have a total mass of 101kg , while the mass of the cable is negligible. The mass of the spacecraft is 9.50

2021-05-18
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 $$\displaystyle{a}={\frac{{{F}}}{{{m}_{{2}}}}}={\frac{{{84}}}{{{9.50}\cdot{10}^{{{4}}}}}}={8.84}\cdot{10}^{{-{4}}}\frac{{m}}{{s}^{{2}}}$$