Conservation of energy and GPE

In summary, the car with a mass of 1000 kg at the top of a 10 degree hill has a gravitational potential energy of 86484.96 J relative to the bottom of the hill. The height of the hill can be calculated using the length of the base of the triangle, which is 50 m, and the tangent of the angle of the hill. This potential energy calculation is correct, and there doesn't seem to be any concerns about it.
  • #1
tica86
79
0
Car has a mass of 1000 kg its at a the top of a 10 degree hill. so if you were to draw a triangle the the base of the triangle would be 50 M in length as well.

a)what is it gravitational potential energy relative to the bottom of the hill?

Height = 50 * Tan 10
= 8.816

Potential energy =Mgh=1000 x 9.81 x 8.816 m=86484.96 J is this right?
 
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  • #2
hi tica86! :wink:
tica86 said:
Car has a mass of 1000 kg its at a the top of a 10 degree hill. so if you were to draw a triangle the the base of the triangle would be 50 M in length as well.

a)what is it gravitational potential energy relative to the bottom of the hill?

Height = 50 * Tan 10
= 8.816

Potential energy =Mgh=1000 x 9.81 x 8.816 m=86484.96 J is this right?

looks ok! :smile:

(is something worrying you about it?)
 

1. What is the law of conservation of energy?

The law of conservation of energy states that energy cannot be created or destroyed, but can only be transformed from one form to another. This means that the total energy in a closed system remains constant.

2. What is gravitational potential energy (GPE)?

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It is the energy that is stored in an object when it is lifted above the ground.

3. How is GPE related to conservation of energy?

The law of conservation of energy applies to all forms of energy, including gravitational potential energy. This means that the total energy in a system, including GPE, remains constant as long as no external forces act on the system.

4. How can GPE be calculated?

The formula for calculating GPE is GPE = mass x gravitational acceleration x height. This means that the amount of GPE an object has depends on its mass, the strength of the gravitational field it is in, and the object's height from the reference point.

5. How is conservation of energy and GPE important in environmental conservation?

Conservation of energy and GPE are important in environmental conservation because they help us understand and manage the energy resources in our environment. By conserving and efficiently using energy, we can reduce our impact on the environment and promote sustainability.

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