Does earth pull all objects with equal acceleration? If yes, why will a sheet of paper fall slower than one that is crumpled into a ball?

Does earth imparts equal acceleration to all bodies ? If yes why ?

STATEMENT -1 : In absence of air friction, it is claimed that all object fall with the same acceleration although, a heavier object is pulled towards the earth with more force than a lighter object. because STATEMENT-2 : Net external force is always equal to rate of change of linear momentum.

Two nearly identical balls are released simultaneously from the top of a tower. One of the balls fall with a constant acceleration of g_(1) = 9.80 ms^( –2) while the other falls with a constant acceleration that is 0.1% greater than g_(1) . [This difference may be attributed to variety of reasons. You may point out few of them]. What is the displacement of the first ball by the time the second one has fallen 1.0 mm farther than the first ball?

During a free fall , will a heavier object accelerate more than a lighter one ?

Everybody, when free, falls towards the centre of earth with an acceleration = g , which is called acceleration due to gravity. The value of g on the surface of earth is, g = (GM)/(R^(2)) = 9.8 m//s^(2) . It is a vector, directed always the centre of earth. The value of g does not depend upon shape, size or mass of the body. Rether, it depends on mass and size of earth (or planet due to which there is a gravity pull). Read the above passesge and answer the following questions : (i) A piece of stone and a feather are dropped together in space from the same height. which one will strike the ground first ? (ii) The mass of a planet is (1)/(8)th the mass of earth and its diameter is (5)/(6) the diameter of earth. What is the value of 'g' on the surface of this planet. (iii) What does the concept of free fall imply in day to day life?

A crew of scientists has built a new space station.The space station is shaped like a wheel of radius R with essentially all its mass M at the rim.When the crew arrives the station will be set rotating at a rate that causes an object at the rim to have radial acceleration g thereby simulating Earth's surface gravity.This is accomplished by two small rockets each with thrust T newtons mounted on the station's rim. How long a time t does one need to fire the rockets to achieve the desired condition?

According to Newton's law of gravitation, every object attracts every other object. Thus, if the earth attract an apple towards itself, the apple also attracts the earth towards itself with the same force. Why then does the apple fall toward the earth, but the earth does not move towards the apple ?