Question

Question 1

3 pts
There is an apple with a mass of 14 kg that is attached to the tree 12
m above the ground (on earth). How much Gravitational Potential
Energy does the apple have? (Round to the nearest tenth)
Hint g= 9.8 (m/s^2)
*

Answer 1

`\boxed {\boxed {\sf 1646.4 \ J }}`

Step-by-step explanation:

Gravitation potential energy can be found using this formula:

`E_P=m*g*h`

where m is the mass, g is the gravtiational acceleration, and h is the height.

The mass of the apple is 14 kilograms and it is 12 meters above the ground. Since this is on Earth, the acceleration due to gravity is 9.8 m/s².

`m= 14 \ kg \\g= 9.8 \ m/s^2 \\h= 12 \ m`

Substitute the values into the formula.

`E_p= ( 14 \ kg )( 9.8 \ m/s^2)(12 \ m)`

Multiply.

`E_p= (137.2 \ kg*m/s^2)(12 \ m )`

Multiply again.

`E_P= 1646.4 \ kg*m^2/s^2`

• 1 kg*m²/s² is equal to 1 Joule.
• Our answer of 1646.4 kg*m²/s² is equal to 1646.4 Joules

`E_p=1646.4 \ J`

This is already rounded to the tenth place, so it's the final answer.

The apple has 1,646.4 Joules of gravitational potential energy.