JEE Main202122 Jul 2021Morning ShiftPhysicsLaws of MotionActual
A bullet of 4 g mass is fired from a gun of mass 4 kg . If the bullet moves with the muzzle speed of 50 ms 1 , the impulse imparted to the gun and velocity of recoil of gun are
Options
- A0 . 4   kg   m   s - 1 ,   0 . 1   m   s - 1
- B0 . 2   kg   m   s - 1 ,   0 . 05   m   s - 1
- C0 . 2   kg   m   s - 1 ,   0 . 1   m   s - 1
- D0 . 4   kg   m   s - 1 ,   0 . 05   m   s - 1
Correct answer
B. 0 . 2   kg   m   s - 1 ,   0 . 05   m   s - 1
Step-by-step solution
By momentum conservation, 4 × 10 - 3 ( 50 - v ) - 4 v = 0 v = 4 × 10 - 3 × 50 4 + 4 × 10 - 3 ≈ 0 . 05   m   s - 1 Impulse J = m v = 4 × . 05 = 0 . 2   kg   m   s - 1