Question

Suppose that the magnitude of the force is 36 N. If the mass of the spacecraft is 11,000 kg and the mass of the astronaut is 92 kg, what are the accelerations ( of the ship and the astronaut ) ?

Answer 1

The acceleration of the spacecraft is 0.00327 m/s² and the acceleration of the astronaut is 0.3913 m/s².

Step-by-step explanation:

The magnitude of the force can be calculated using Newton's second law, F = ma, where F is the force, m is the mass, and a is the acceleration.

For the spacecraft, the mass is 11,000 kg and the force is 36 N. So, to find the acceleration of the spacecraft, we can rearrange the formula to solve for a: a = F/m.

Substituting the given values, we have a = 36 N / 11,000 kg = 0.00327 m/s².

For the astronaut, the mass is 92 kg and the force is also 36 N. Using the same formula, we can find the acceleration: a = 36 N / 92 kg = 0.3913 m/s².