Question

What is the gravitational potential energy of a 5 kg object that is 150

meters above the surface of the Earth?

Answer 1

Step-by-step explanation:

Gravitational potential energy

= mgh

= (5kg)(9.81N/kg)(150m)

= 7357.5J.

Answer 2

`\boxed {\boxed {\sf 7350 \ Joules}}`

Step-by-step explanation:

Gravitational potential energy can be found using the following formula:

`E_P=m*g*h`

Where m is the mass, g is the gravitational acceleration, and h is the height.

The mass of the object is 5 kilograms. On Earth, the acceleration due to gravity is 9.8 meters per square second. The height is 150 meters.

`m= 5 \ kg \\g= 9.8 \ m/s^2 \\h= 150 \ m`

Substitute the values into the formula.

`E_p=(5 \ kg)(9.8 \ m/s^2)(150 \ m)`

Multiply the first two numbers.

`E_P=(49 \ kg*m/s^2)(150 \ m)`

• 1 kg*m/s² is equal to 1 Newton.
• 49 kg*m/s²= 49 N

`E_p=(49 \ N)(150 \ m)`

Multiply.

`E_p=7350 \ N*m`

• 1 Newton meter equals 1 Joule
• 7350 N*m= 7350 J

`E_p= 7350 \ J`

The gravitational potential energy of the object is 7350 Joules