A baby carriage is sitting at the top of a hill that is 21 m high The carriage with the baby weighs 12 N

E

=

252

J

Explanation:

The total mechanical energy of an object or system is given by:

E

m

e

c

h

=

K

+

U

Where

K

is the kinetic energy of the object and

U

is the potential energy of the object. The carriage, sitting motionless at the top of the hill, has only potential energy in the form of gravitational potential energy.

Gravitational potential energy is given by:

U

g

=

m

g

h

Where

m

is the mass of the object,

g

is the gravitational acceleration constant, and

h

is the height of the object above some specific reference point, in this case the ground

21

m

below.

The weight of a stationary object at the surface of the earth is equal to the force of gravity acting on the object.

W

=

→

F

g

=

m

g

We are given that the carriage weighs

12

N

, therefore

m

g

=

12

N

.

U

g

=

12

N

⋅

21

m

⇒

U

g

=

252

N

m

=

252

J

Answer link

Explanation:

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.