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A 10.0 kg rock is at the top of a 20.0 m. tall hill. How much potential energy does it have?

Sagot :

Stephen46

Answer:

2000 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 10 × 10 × 20 = 2000

We have the final answer as

2000 J

Hope this helps you

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 1,960 \ J}}[/tex]

Explanation:

Potential energy is the energy an object possesses due to its position. It is calculated using the following formula:

[tex]PE= mgh[/tex]

The mass (m) of the rock is 10.0 kilograms. The rock is on top of a hill that is 20.0 meters tall (h). Assuming this situation is occurring on Earth, the acceleration due to gravity is 9.8 meters per second squared (g).

  • m= 10.0 kg
  • g= 9.8 m/s²
  • h= 20.0 m  

Substitute the values into the formula.

[tex]PE= (10.0 \ kg)(9.8 \ m/s^2)(20.0 \ m)[/tex]

Multiply the first two values together.

[tex]PE=(98 \ kg*m/s^2)(20.0 \ m)[/tex]

Multiply again.

[tex]PE= 1960 \ kg*m^2/s^2[/tex]

Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule, so our answer of 1960 kg*m²/s² is equal to 1960 J.

[tex]PE= 1960 \ J[/tex]

The rock has 1,960 Joules of potential energy.

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