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.

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?

STATEMENT-1: It is easier to pull a heavy object than to push it on a level ground and STATEMENT-2: The magnitude of frictional force depends on the nature of the two surfaces in contact.

STATEMENT - 1 : A ball is thrown upwards, rises to its peak and eventually falls back to the original height. As the ball rises, its acceleration is upwards, as it falls, its acceleration is downwards. STATEMENT - 2 : A ball is thrown upward, rises to its peak and eventually falls back to the original height. The speed at which it is launched equals the speed at which it lands. (Assume negligible air resistance) STATEMENT - 3 : A very massive object will free fall at the same rate of acceleration as a less massive object.

STATEMENT-1 : Assuming sun to be a body of very large mass in comparison to all other planets, the angular momentum of all the planets about the sun remains conserved. because STATEMENT-2 : Gravitational force is always conservative.

Statement-1 : The slope of momentum versus time graph give us the acceleration. Statement-2 : Force is given by the rate of change of momentum

STATEMENT-1: A block is pulled along a horizontal frictionless surface by a thick rope. The tension in the rope will not always be the same at all points on it. because STATEMENT-2: the tension in the rope depends on the acceleration of the block rope system and the mass of the rope.

STATEMENT-1 : A stone of mass m kg is dropped vertically down for the window of a train which is at rest and than the same stone is dropped from the window of the train accelerating with a m//s^(2) . The net force in the space acting on the stone is mg downward in both cases. because STATEMENT-2 : Vertical and horizontal motions are independent of each other in two dimensional projectile motion.

STATEMENT -1 : when an object moves towards a plane mirror with a certain velocity, its image will also move with same velocity. and STATEMENT - 2 : The distance from mirror to image is equal to distance of object from mirror.

STATEMENT-1 : Two bodies of mass M and 2M released from rest and they move towards each other due to their mutual gravitational force of attraction and collide at mid point. STATEMENT-2 : If the total mechanical energy of a body is zero than its linear momentum is necessarily non zero at any point other than reference point. STATEMENT-3 : The linear momentum of the bob of a simple pendulum suspended by the roof of a car accelerating on a horizontal road increases due to tension in the string of the pendulum.