you are sitting in a cart at the top of a hill on a roller coaster. you have 10,500 j of gravitational potential energy. if your current weight is 539N, how tall is the hill you are sitting on.

Respuesta :

Answer:

Height of sitting = 19.48 m

Explanation:

Gravitational potential energy = mgh

Current weight = 539 N

Weight = mg = 539 N

Mass x Acceleration = 539 N

Mass x 9.81 = 539

Mass = 54.94 kg

Gravitational potential energy = mgh = 10500 J

                     54.94 x 9.81 x h = 10500

                                h = 19.48 m

Height of sitting = 19.48 m

The height of the mountain  is 19 m.

What is gravitational potential energy?

The term gravitational potential energy refers to the energy possessed by a body by virtue of its position. The gravitational potential energy depends on the height and the mass of the body.  

Given that;

E = mgh

m = mass

g = acceleration due to gravity and

h = height

But W = mg

E = Wh

h = E /W

h = 10,500 J/539N

h = 19 m

Learn more about gravitational  potential energy:https://brainly.com/question/953809