What is the need for introducing the concept of G.P.E?

Click For Summary
SUMMARY

The introduction of gravitational potential energy (G.P.E.) in physics is essential for simplifying calculations related to the motion of objects under the influence of gravity. G.P.E. allows for the determination of an object's final speed when it descends from a height without the need for complex force calculations. For instance, when a trolley rolls down a frictionless ramp, equating kinetic energy at the bottom with the lost G.P.E. provides a straightforward solution: half m vsquared equals mgh. This method eliminates the need for calculus, making it a more efficient approach in many scenarios.

PREREQUISITES
  • Understanding of basic physics concepts, particularly energy and work.
  • Familiarity with gravitational force and its effects on objects.
  • Knowledge of kinetic energy and its relationship to potential energy.
  • Basic algebra for solving equations related to energy.
NEXT STEPS
  • Study the principles of energy conservation in physics.
  • Learn about the mathematical derivation of gravitational potential energy.
  • Explore the relationship between G.P.E. and kinetic energy through practical examples.
  • Investigate the applications of G.P.E. in real-world scenarios, such as roller coasters and projectile motion.
USEFUL FOR

Students of physics, educators teaching energy concepts, and anyone interested in simplifying calculations involving gravitational forces and motion.

donaldparida
Messages
146
Reaction score
10
What is the need of introducing the concept of gravitational potential energy in physics? Can't we simply say that when an object is lifted up it falls down because of the force of gravity acting on it instead of saying that it has G.P.E and so it is falls down?
 
Physics news on Phys.org
It is a useful tool in a lot of situations. For example, if you roll a ball down a ramp (or drop it off a cliff), you can easily figure out the final speed with only the height of the ramp (ignoring rotational inertia, drag and other losses).
 
  • Like
Likes   Reactions: donaldparida
Yes you are right, if a body is lifted up, it falls down due to gravitational pull.

I think GPE is introduced to explain the work done in the process.
A body cannot lift itself up on its own. You have to do work against the gravitational force to lift the body up. Now, whenever work is done, there has to be some kind of energy involved somewhere (workdone = change in energy).
The work you did should be stored in the object which is the GPE.
 
  • Like
Likes   Reactions: donaldparida
G.P.E. is so usefull because the mass of objects is so small compared to the mass of the Earth that all the energy in the gravitational interaction comes back to the object, so, when a particle returns to its original possition (let's said it the zero height), all the potential energy is converted into kinetic energy.

This is not the case if we calculate the G.P.E. between two bodies with a mass of the same order of magnitude.
 
donaldparida said:
What is the need of introducing the concept of gravitational potential energy in physics? Can't we simply say that when an object is lifted up it falls down because of the force of gravity acting on it instead of saying that it has G.P.E and so it is falls down?

Let me give an example where GPE helps you where Force is very inconvenient. A trolley rolls down a frictionless ramp that has a wavy profile (like some children's slides). You want to know its speed at the bottom.
To work it out using forces you need to calculate the component of gravity that's acting down the variable slope at every point and to integrate the acceleration over the whole trip.
Using GPE considerations, all you need to do is to equate the KE at the bottom with the lost GPE.
Half m vsquared = mgh
Solve for v and you're done. No calculus. Just two lines of working.
 
  • Like
Likes   Reactions: donaldparida

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
765
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 29 ·
Replies
29
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 54 ·
2
Replies
54
Views
6K
  • · Replies 8 ·
Replies
8
Views
2K