Question

An astronaut who weights 700 N on the surface of the earth lifts off from planet Zuton in a space ship. The free-fall acceleration on Zuton is 3 m/s². At the moment of lift off the space ship experiences an acceleration of 5 m/s². The acceleration of gravity is 10 m/s². What is the magnitude of the force that the space ship exerts on the astronaut?

Answer 1

Step-by-step explanation:

The magnitude of the force that the space ship exerts on the astronaut is 1300 N.

This can be calculated by using the formula: force = mass x acceleration.

The astronaut's mass is 700 N / 10 m/s² = 70 kg

The acceleration of the ship is 5 m/s².

So the force on the astronaut is 70 kg x 5 m/s² = 350 N.

Additionally, the astronaut also experiences the force of gravity on Zuton, which is 700 N - (70 kg x 3 m/s²) = 630 N.

So the total force on the astronaut is 630 N + 350 N = 980 N.