The projectile motion of a particle of mass 5 g is shown in the figure. The initial velocity of the particle is 5 2 ms - 1 and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points A and B is x × 10 - 2 kgms - 1 . The value of x , to the nearest integer, is ___ .

Question

The projectile motion of a particle of mass 5 g is shown in the figure. The initial velocity of the particle is 5 2 ms - 1 and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points A and B is x × 10 - 2 kgms - 1 . The value of x , to the nearest integer, is ___ .,

MARKS App · Accepted Answer

| u → | = | v → | u → = u cos 45 i ^ + u sin 45 j ^ v → = v cos 45 i ^ - vsin 45 j ^ | Δ P → | = m v → - u → Δ P = 2 m u sin 45 ° = 2 × 5 × 10 - 3 × 5 2 × 1 2 Δ P = 50 × 10 - 3 = 5 × 10 - 2 .

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