Calculating Potential Energy Change for a Mountain Climber

In summary, the change in potential energy for the 95-kg mountain climber who hiked to an elevation of 5000 m is 4,655,000J. This can also be converted to around 106 calories, illustrating the significant amount of energy expended during the climb.
  • #1
Generally Confused
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Homework Statement


A 95-kg mountain climber hikes up a mountain to an elevation of 5000 m. What is the change in the climber's potential energy?

Homework Equations


I might be missing something but here's everything that might be relevant:
w=fx
p=w/t
p=f*v
KE=1/2mv^2
PEg=mgh
PEe=1/2kx^2
Wnet=E

The Attempt at a Solution


I plugged the numbers into the gravitational potential energy equation and got 4,655,000J. Is this correct? If not, what am I missing?
 
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  • #2
It is correct. Incidentally, this shows how large (or small) a Joule is.
 
  • #3
An interesting perspective is to convert this to about 106 calories. At a resting dietary requirement of 2000 kilocalories per day, the walker would need to eat 50% extra.
 

1. What is potential energy change?

Potential energy change is the amount of energy an object has due to its position or state. It represents the potential for work to be done.

2. How is potential energy change calculated?

Potential energy change is calculated by multiplying the mass of an object by the acceleration due to gravity (9.8 m/s^2) and the change in height (in meters). The formula is PE = mgh.

3. What are some examples of potential energy change?

Some examples of potential energy change include a rollercoaster at the top of a hill, a pendulum at its highest point, a stretched rubber band, and a book on a high shelf.

4. How does potential energy change relate to kinetic energy?

Potential energy and kinetic energy are two forms of energy that are constantly interchanging. When an object has a high potential energy, it has the ability to do a lot of work. As the object moves and loses potential energy, it gains kinetic energy, which is the energy of motion.

5. How can potential energy change be useful?

Potential energy change can be useful in various ways, such as in the production of electricity from hydropower, in the functioning of a spring-driven clock, and in the launching of rockets into space. It also plays a crucial role in daily activities, such as when we use a slingshot or a bow and arrow.

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