Gravitational Potential Energy and Work Energy Theorem

AI Thread Summary
When work is done on an object, its energy increases, but when gravity acts on a falling object, the potential energy decreases while kinetic energy increases. The work-energy theorem indicates that the work done by forces other than gravity is zero in this scenario, as gravity's effect is already accounted for in the potential energy term. Thus, the equation simplifies to zero net work equating to the change in potential energy and kinetic energy. Including gravitational work in the work-energy equation would result in double-counting, leading to incorrect conclusions. Understanding this distinction clarifies how energy transitions between potential and kinetic forms during free fall.
hqjb
Messages
38
Reaction score
0
Just a little confused, when work is done on an object it's energy increases right? (i.e. Work done on object = Change P.E + Change K.E + Work done by object)

So how come when gravitational force does work on an object(i.e. it falls) the potential energy decreases instead.

So its like Work done by gravitational force = Decrease in P.E + Increase in K.E = 0?

Edit : Okay, thinking about it probably because of action-reaction pair with the Earth?

So work done on body = Decrease in P.E + Increase in K.E + work done by body?
 
Last edited:
Physics news on Phys.org
hqjb said:
Just a little confused, when work is done on an object it's energy increases right? (i.e. Work done on object = Change P.E + Change K.E + Work done by object)
I think you mean: Work done on object = Change PE + Change KE

When you use that particular form of the work-energy theorem--which includes a gravitational PE term--the work done means the work done by forces other than gravity. The effect of gravity is already included in the PE term. So, using that form of the theorem, you'd never include work done by gravity as part of the "work done" term.
So how come when gravitational force does work on an object(i.e. it falls) the potential energy decreases instead.
When an object falls, the only force acting is gravity. And since that's already included in the PE term, you'd set "work done on object (by forces other than gravity)" = 0. So:
0 = Change PE + Change KE

As the object falls the PE decreases while the KE increases.
 
Doc Al said:
I think you mean: Work done on object = Change PE + Change KE

When you use that particular form of the work-energy theorem--which includes a gravitational PE term--the work done means the work done by forces other than gravity. The effect of gravity is already included in the PE term. So, using that form of the theorem, you'd never include work done by gravity as part of the "work done" term.

When an object falls, the only force acting is gravity. And since that's already included in the PE term, you'd set "work done on object (by forces other than gravity)" = 0. So:
0 = Change PE + Change KE

As the object falls the PE decreases while the KE increases.

I kinda get it so during free fall, the Change in P.E. is negative = Work done by gravitational force on body = Gain in K.E.? If i bring it over it becomes 0.

So in case of mechanics, net work done(external energy transfer)(if I include gravitational force) never changes potential energy because work causes change in velocity not position (Am I right to say this)? Sorry if it seems illogical I'm trying to connect the dots.
 
hqjb said:
I kinda get it so during free fall, the Change in P.E. is negative = Work done by gravitational force on body = Gain in K.E.? If i bring it over it becomes 0.

So in case of mechanics, net work done(external energy transfer)(if I include gravitational force) never changes potential energy because work causes change in velocity not position (Am I right to say this)? Sorry if it seems illogical I'm trying to connect the dots.
Let me try again. The most basic form of the Work-Energy theorem is this:
Work done by all forces = ΔKE

If gravity is the only force acting, then:
Work done by gravity = ΔKE
-mgΔh = ΔKE
Rearranging:
0 = mgΔh + ΔKE = ΔPE + ΔKE

If you include the work done by gravity and the ΔPE term in your statement of the Work-Energy theorem, you'll get the wrong answer because you'll be counting gravity twice.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top