A2.1 kg ball is attached to a ceiling by a string. the distance from the ceiling to the center of the ball is 1.10 m, and the height of the room is 3.00 m. (a) what is the gravitational potential energy associated with the ball relative to the ceiling? j (b) what is the gravitational potential energy associated with the ball relative to the floor? j (c) what is the gravitational potential energy associated with the ball relative to a point at the same elevation as the ball? j

Explanation:

Given

mass of ball =2.1 kg

height of room =3 m

Length of string=1.1 m

Gravitational Potential Energy of ball relative to the ceiling

=mgh

where h is distance between ceiling and ball

=-22.638 J

negative indicates ball is below the reference Plane

(b)Gravitational Potential Energy of ball relative to the Floor

=mgh

here h=3-1.1=1.9 m

(c)Gravitational Potential Energy of ball relative to a point at the same elevation as the ball

=mgh

here h=0 as it is in the same plane as of ball

=0

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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.