Gravitational potential energy

In summary: The equation to use is dU = mgdH, where dU is the change in gravitational potential energy, m is the mass of the skier, g is the acceleration due to gravity, and dH is the change in height. The hypotenuse of the triangle formed by the lift is 2860 meters long and the angle is 14.8 degrees. The unknown in this equation is the height, which can be solved for using the given information. This equation applies regardless of the trajectory of the lift, as only the change in height affects the gravitational potential energy.
  • #1
shawonna23
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A 70.0 kg skier rides a 2860 m long lift to the top of a mountain. The lift makes an angle of 14.8° with the horizontal. What is the change in the skier's gravitational potential energy?

What equation would I use to solve this problem?
 
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  • #2
shawonna23 said:
A 70.0 kg skier rides a 2860 m long lift to the top of a mountain. The lift makes an angle of 14.8° with the horizontal. What is the change in the skier's gravitational potential energy?

What equation would I use to solve this problem?

First of all since the lift is an inclined plane, there is a horizontal and vertical component when 2860 is the hypothenuse

find the vertical component

vertical component is now the dH is dU = MG dH
 
Last edited:
  • #3
i don't understand what you are saying. What is dU and dH?
 
  • #4
shawonna23 said:
i don't understand what you are saying. What is dU and dH?

dU = the change in gravitational potential energy

dH = the change in height

Because

dU = mgh2 = mgh1 = mg (h2 - h1) = mg dH
 
  • #5
Remember the trajectory doesn't matter for the gravity potential energy, only the change of height.
 
  • #6
You know the mass, the unknown is the height.

If the hypotenuse of a triangle is 2860 meters long and the angle is 14.8 degrees what is h?

Then mass x height = potential energy.

:)

Kirk
 

1. What is gravitational potential energy?

Gravitational potential energy is the energy that an object possesses due to its position in a gravitational field. It is the potential for an object to do work as it is pulled by gravity towards another object.

2. How is gravitational potential energy calculated?

The formula for gravitational potential energy is PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object relative to a reference point.

3. What is the relationship between gravitational potential energy and height?

The higher an object is in a gravitational field, the greater its potential energy. This means that as an object is lifted to a higher position, its gravitational potential energy increases.

4. Can gravitational potential energy be negative?

Yes, gravitational potential energy can be negative if the reference point used to calculate it is higher than the object's current position. This means that the object has less potential energy than it would if it were at the reference point.

5. What are some real-life examples of gravitational potential energy?

Some examples of gravitational potential energy include a rollercoaster at the top of a hill, a boulder perched at the edge of a cliff, and a diver at the edge of a diving board. In all of these cases, the objects have potential energy due to their position in a gravitational field.

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