Statement-1 : The impulse imparted by a force on an object is equal to the change in momentum of the object.
Statement-2 : If a ball hits a rigid wall and rebounds elastically, the magnitude of the impulse imparted by the wall on the ball is twice the magnitude of the ball's initial momentum perpendicular to the wall.

Question

Statement-1 : The impulse imparted by a force on an object is equal to the change in momentum of the object.

Statement-2 : If a ball hits a rigid wall and rebounds elastically, the magnitude of the impulse imparted by the wall on the ball is twice the magnitude of the ball's initial momentum perpendicular to the wall.

TestHub · Accepted Answer

Statement-1 is true by the impulse-momentum theorem ( J = Δ p ). Statement-2 is also true. If a ball of mass m with initial velocity v (perpendicular to the wall) rebounds elastically, its final velocity will be − v . The change in momentum is p f ​ − p i ​ = m ( − v ) − m v = − 2 m v . The magnitude of the impulse is ∣ − 2 m v ∣ = 2 m v , which is twice the initial momentum magnitude. However, Statement-2 is an application of Statement-1, not a general explanation for it.

Physics - Center of Mass Question with Solution | TestHub

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