Susan's 10.0kg baby brother paul sits on a mat. susan pulls the mat across the floor using a rope that is angled 30? above the floor. the tension is a constant 32.0n and the coefficient of friction is 0.190.

use work and energy to find paul's speed after being pulled 3.20m .

solve for vf.

The speed after being pulled is 2.4123m/s

Explanation:

The work realize by the tension and the friction is equal to the change in the kinetic energy, so:

(1)

Where:

Because the work made by any force is equal to the multiplication of the force, the displacement and the cosine of the angle between them.

Additionally, the kinetic energy is equal to , so if the initial velocity is equal to zero, the initial kinetic energy is equal to zero.

Then, replacing the values on the equation and solving for , we get:

So, the speed after being pulled 3.2m is 2.4123 m/s

explanation:

the masses of the objects and the distance between them

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.