assuming there's no friction of, if two balls (one heavier than the other) are held up the same distance from the ground; the heavier ball will have more G.P.E than the lighter one, n when both are dropped, all the G.P.E can only change to K.E, as there's no friction; wot i'm confused abt is that without air gravity will pull them both at a constant acceleration (9.8m/s, meaning both will have the same speed - but shouldn't the heavier ball be moving faster as it had more G.P.E than the other ball, hence more K.E?

Question

assuming there's no friction of, if two balls (one heavier than the other) are held up the same distance from the ground; the heavier ball will have more G.P.E than the lighter one, n when both are dropped, all the G.P.E can only change to K.E, as there's no friction; wot i'm confused abt is that without air gravity will pull them both at a constant acceleration (9.8m/s, meaning both will have the same speed - but shouldn't the heavier ball be moving faster as it had more G.P.E than the other ball, hence more K.E?

Can sum1 pls calrify?

No. Its higher GPE is proportional to its mass, but so is the kinetic energy that is gets converted to. The mass factor drops out and
g H = V^2/2

I don't get it. U say that the k.E is proportional to mass n then u say the mass factor drops out

Can u plssssssssss explain it clearly?

K.E. = change in P.E.

(1/2)M V^2 = M g H

H is the change in height

M cancels out. It is in both sides of the equation. Do the algebra.

V^2 = 2 g H

NOW THT ANSWERS IT......thank you v much

yes i think so to that if you have for ex:if u have a peace of paper in one hand and you have crumpled paper in the other hand than i think that the crumpled paper will be in the first place because of thegravity on earth.

Answer 1

Yes, you are correct. When you have a piece of paper in one hand and a crumpled paper in the other hand, if you drop both of them at the same time, they will both fall towards the ground due to the force of gravity. The crumpled paper will likely reach the ground first because it has a greater mass compared to the flat piece of paper.

The force of gravity acting on an object is proportional to its mass. So the crumpled paper, being heavier, will experience a greater force of gravity pulling it towards the ground. This means that it will accelerate faster and reach the ground more quickly than the flat piece of paper.

It's important to note that in the absence of air resistance or any other external forces, both objects will fall at the same acceleration due to gravity, which is approximately 9.8 m/s^2. However, their difference in mass will cause them to have different speeds as they fall. The crumpled paper will have a greater kinetic energy due to its higher mass, which means it will be moving faster when it reaches the ground compared to the flat piece of paper.