Rock Climbing: Work Done by Gravity & Change in GPE

In summary, a rock climber of mass 92.1 kg starts at the base of a cliff and climbs to the top (h = 33.8 m). He then walks along the plateau at the top for a distance of L = 289.9 m. We are asked to find the work done by gravity and the change in gravitational potential energy of the rock climber. The equation for potential energy is PE=mgh. Work can have a positive or negative sign depending on the direction of force and motion.
  • #1
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Homework Statement



A rock climber of mass 92.1 kg starts at the base of a cliff and climbs to the top (h = 33.8 m). He then walks along the plateau at the top for a distance of L = 289.9 m.

(a) Find the work done by gravity.
(b) What is the change in the gravitational potential energy of the rock climber.


Homework Equations



Im still learning this stuff and am clueless thus far.

The Attempt at a Solution



This is why i need help..

THANKS!
 
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  • #2
This problem is very similar to the others you have posted so far. Look at the solutions to those and you should be able to figure out this one.
 
  • #3
I'm trying. I understand PE=mgy but it just isn't working for me.
 
  • #4
Consider the fact that that work can have a positive or negative sign, depending on if the force is working in the same or opposite direction of motion.
 

1. What is rock climbing?

Rock climbing is a sport or recreational activity that involves ascending and descending natural rock formations or artificial rock walls. It requires physical strength, agility, and mental focus.

2. How does gravity play a role in rock climbing?

Gravity is a fundamental force that pulls objects towards the center of the Earth. In rock climbing, gravity is constantly pulling the climber towards the ground, making it necessary for the climber to use their own physical strength and technique to overcome this force and ascend the rock face.

3. What is the work done by gravity in rock climbing?

The work done by gravity in rock climbing is the energy required to lift the climber's body from one point to another. This work is equal to the force of gravity (the climber's weight) multiplied by the displacement (height gained or lost).

4. How does rock climbing relate to changes in gravitational potential energy (GPE)?

Rock climbing involves a constant exchange of potential and kinetic energy. As the climber ascends, they gain GPE due to their increased height above the ground. As they descend, they lose GPE and gain kinetic energy, which is converted into heat through friction.

5. What safety measures should be taken when considering the work done by gravity and changes in GPE in rock climbing?

Rock climbing requires proper safety equipment, including a harness, helmet, and ropes, to prevent falls and minimize the impact of any potential falls. It is also important to select appropriate routes and difficulty levels based on one's skill and experience level. Proper training and technique are also crucial for safe and successful rock climbing.

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