Question

24. A bullet is fired from a gun with an initial speed of 125 mis. Its
acceleration is found to be 20 mils2. The force exerted by the gun on the
bullet is F GB and force exerted by the bullet on the gun is F BG. Which of
the following statements is true regarding the above information-​

Answer 1

Answer:

Let the direction in which the bullet is fired be positive.

Therefore,

Mass of Bullet(m)=20 grams=0.02 kg

Mass of Pistol(M)=2 kg

Initial Velocity of Bullet(u)=0 m/s

Initial Velocity of Pistol(U)=0 m/s

Final Velocity of Bullet(v)=150 m/s

Final Velocity of Pistol(V)= Recoil Velocity of Bullet = ?

According to the Law of Conservation of Momentum,

mu + MU = mv + MV

(0.02)(0) + (2)(0) = (0.02)(150) + (2)(V)

0 + 0 = 3 + 2V

-3/2 = V

V = -1.5 m/s

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