An 86.0-kg climber is scaling the vertical wall of a mountain. his safety rope is made of nylon that, when stretched, behaves like a spring with a spring constant of 1.20 × 10³ n/m. he accidentally slips and falls freely for 0.750 m before the rope runs out of slack. how much is the rope stretched when it breaks his fall and momentarily brings him to rest?

x = 1.95 m

Explanation:

As we know that total mechanical energy is conserved here

So gravitational potential energy of the climber will convert into spring potential energy

So we will have

here we know that

m = 86 kg

L = 0.750 m

now we will have

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.