Question

A projectile of mass 1.800 kg approaches a stationary target body at 4.800 m/s. The projectile is deflected through an angle of 60.00° and its speed after the collision is 2.900 m/s. What is the magnitude of the momentum of the target body after the collision?

Answer 1

P = 5.22 Kg.m/s

Step-by-step explanation:

given,

mass of the projectile = 1.8 Kg

speed of the target = 4.8 m/s

angle of deflection = 60°

Speed after collision = 2.9 m/s

magnitude of momentum after collision = ?

initial momentum of the body = m x v

= 1.8 x 4.8 = 8.64 kg.m/s

final momentum after collision

momentum along x-direction

P_x = m v cos θ

P_x = 1.8 x 2.9 x cos 60°

P_x = 2.61 kg.m/s

momentum along y-direction

P_y = m v sin θ

P_y = 1.8 x 2.9 x sin 60°

P_y = 4.52 kg.m/s

net momentum of the body

`P = √(P_x^2 + P_y^2)`

`P = √(4.52^2 + 2.61^2)`

P = 5.22 Kg.m/s

momentum magnitude after collision is equal to P = 5.22 Kg.m/s