Pushing on the pump of a soap dispenser
compresses a small spring. When the spring is
compressed 0.50 cm , its potential energy is
0.0040 J. What is the force constant of the spring?
What compression is required for the spring potential energy to equal 0.0094J

Explanation:

EE = ½ kx²

0.0040 J = ½ k (0.0050 m)²

k = 320 N/m

EE = ½ kx²

0.0094 J = ½ (320 N/m) x²

x = 0.0077 m

x = 0.77 cm

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.