contestada

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)
*

Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 1646.4 \ J }}[/tex]

Explanation:

Gravitation potential energy can be found using this formula:

[tex]E_P=m*g*h[/tex]

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.

[tex]m= 14 \ kg \\g= 9.8 \ m/s^2 \\h= 12 \ m[/tex]

Substitute the values into the formula.

[tex]E_p= ( 14 \ kg )( 9.8 \ m/s^2)(12 \ m)[/tex]

Multiply.

[tex]E_p= (137.2 \ kg*m/s^2)(12 \ m )[/tex]

Multiply again.

[tex]E_P= 1646.4 \ kg*m^2/s^2[/tex]

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

[tex]E_p=1646.4 \ J[/tex]

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.