Why do you think that heavier ball covers lesser distance then the lighter Ball when both of them a push with the same force
Answers
Answer:
When two objects are in free fall, they accelerate at 'g' - acceleration due to gravity and hit the bottom at the same time. Time taken can be calculated by the formula: h = -1/2gt^2 (assuming both objects dropped from rest). Time take in therefore independent of mass.
When objects slide down a slope, the downward force acting on them to produce acceleration is (mg cos@ - friction) and = ma. So acceleration, a = g cos@ - friction/mass. The heavier object will have a higher acceleration and so arrive faster.
If you consider rolling, the torque acting on the object is mg cos@ times the distance between the center of gravity and the surface (radius if the object is a sphere) and equals I times alpha. While the mass of the object cancels out in this equation, alpha is a function of the radius (or distance between center of gravity and the surface) and so a bigger object will experience greater rotational acceleration (alpha) and roll down faster.