. All bodies dropped together fall to the ground in the same amount of time. But if two spheres roll down an i

Question

. All bodies dropped together fall to the ground in the same amount of time. But if two spheres roll down an inclined plane, one may take more time than the other. Explain why.

Answer 1

It all has to do with the radius of the sphere. Its just like a gear ratio. a smaller ball has to roll much faster to obtain the same speed as a lager ball of the same weight

Answer 2

First, there's a flaw on your preliminary assertion. All bodies fall to the floor with a similar *acceleration* (or interior a similar time from a similar top) on condition that air resistance is overlooked. If one physique has drastically extra drag then yet another it is going to take longer to fall. basically, acceleration below gravity is continuous (and autonomous of mass) yet gravity won't be the only tension in touch. Now, on on your question. contained while it comes to spheres rolling down a airplane, the two chief forces are gravity and friction. If the two spheres journey a similar friction tension, then they'd desire to the two roll to the backside of the airplane interior a similar time. Friction tension is often represented as uR - u is a coefficient of friction which relies upon on the components in touch. R is a reaction tension - that is often the reaction to the area of the load appearing perpendicular to the airplane and so relies upon on the mass of the sector. So in fact, if the spheres fluctuate drastically in mass there's a distinction in friction forces and so the time to roll to the backside would be distinctive.

Answer 3

two spheres of identical size and mass should, theoretically, reach at the same time. but since, the friction between the plane and spheres depend on finish and undulations of the surfaces in contact. this friction force causes slowing down of the rolling elements. so one sphere that has more frictional forces slows down. the sphere that has lesser inertia rolls fast and reaches earlier than the one with higher inertia.. in free falling body, no rolling takes place and hence inertia does not come into picture.only in the cases where rolling takes place inertia plays a significant roll.

Answer 4

Rotational ("moment of") inertia.

More of the potential energy in the larger sphere must be converted into rotation of the sphere.

We expect the larger sphere to roll farther once they get to the bottom of the plane.

Answer 5

one is larger diameter so its mass will be affected greater by the gravitational pull