Astronaut Jennifer's lifeline to her spaceship comes loose and she finds herself stranded, "floating" 100 m from the mothership. She suddenly throws her 2.00-kg wrench at 20 m/s in a direction away from the ship. If she and her spacesuit have a combined mass of 200 kg, how long does it take her to coast back to her spaceship

The time it will take the astronaut to coast back to her ship is 500 seconds

Explanation:

Mass of wrench, m₁ = 2 kg

Mass of astronaut with spacesuit, m₂ = 200 kg

Velocity of wrench, v₁ = 20 m/s

Velocity of astronaut with spacesuit v₂

Distance between the astronaut and the ship is 100 m

As linear momentum is conserved

Hence, The time it will take the astronaut to coast back to her ship is 500 seconds

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.