An automotive research facility is testing a new design on bumpers to determine the force at which it will break. the formula for force is f = 1 2 m v 2 where m is the mass (weight) and v is the velocity (speed)what is the effect on the force if the velocity changes from 5 miles per hour to 10 miles per hour?

The force increases by 4 units when velocity changes from 5 miles per hour to 10 miles per hour.

Explanation: The force is given by the formula:

Force when v = 5 miles per hour

Force when v = 10 miles per hour

Taking ratio of and

Hence, the force is increased by 4 units when velocity changes from 5 miles per hour to 10 miles per hour.

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.