Potential Energy: Hiker at 1600m to 3100m - Change, Work, & Explanation

In summary, a hiker weighing 55 kg starts at an elevation of 1600 m and climbs to the top of a 3100-m peak. The change in potential energy is mgh = (55)(9.81)(3100-1600) = 87,495 J. The minimum work required for the hike is also 87,495 J. It is possible for the actual work done to be more than this, depending on factors such as wind resistance and the hiker's physical condition. The aerodynamic drag at 1 to 3 miles per hour would depend on the shape and size of the object moving at that speed.
  • #1
rphmy
4
0
A 55-kg hiker starts at an elvation of 1600 m and climbs to the top of a 3100-m peak. (a) What is the hiker's change in potential energy? (b) What is the minimum work required of the hiker? (c) Can the actual work done be more than this? Explain
 
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  • #2
i know how to do part a, but can you by any chance help me with my problem, its titeled LOOP problem with DIAGRAM!
 
  • #3
a) mgh= mgh
55(9.81)(1600)=(55)(9.81)(h)

you just solve for height by the equation above.
 
  • #4
> Can the actual work done be more than this?

What's the aerodynamic drag at 1 to 3 miles per hour?
 

1. What is potential energy and how does it change for a hiker going from 1600m to 3100m?

Potential energy is the energy an object has due to its position or state. As the hiker climbs from 1600m to 3100m, their potential energy increases because they are moving to a higher position in Earth's gravitational field.

2. Does the change in potential energy affect the work done by the hiker?

Yes, the change in potential energy does affect the work done by the hiker. Work is defined as force applied over a distance, and as the hiker climbs, they are exerting a force against gravity to increase their potential energy. This work is equal to the change in potential energy.

3. How does the explanation of potential energy relate to the hiker's experience?

The hiker's experience of exerting effort and feeling tired as they climb can be explained by the change in potential energy. As they move to a higher position, their potential energy increases and their body must do work against gravity, resulting in fatigue.

4. Is potential energy the only type of energy that changes for the hiker?

No, there are other types of energy that may also change for the hiker. Kinetic energy, or the energy of motion, may also change as the hiker moves up the mountain. The hiker's body may also produce heat energy as they exert themselves during the climb.

5. Can potential energy be converted into other forms of energy?

Yes, potential energy can be converted into other forms of energy. When the hiker reaches the top of the mountain, their potential energy can be converted into kinetic energy as they begin to descend. This energy can also be converted into heat energy through friction as they walk or slide down the mountain.

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