Question

From a refill of mass 4kg,a bullet of mass 50g is fired with an interracial velocity of 35 m/s. Calculate the innerracial recole velocity of the refill.

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Answer 1

Answer:

Mass of the rifle (m1) = 4 kg

Mass of the bullet (m2) = 50 g = 0.05 kg

Recoil velocity of the rifle = v1

A bullet is fired with an initial velocity (v2) = 35 m/s

Answer 2

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From a refill of mass 4kg,a bullet of mass 50g is fired with an interracial velocity of 35 m/s. Calculate the innerracial recole velocity of the refill.

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Given :

• Mass of gun , M = 4 kg

• Mass of bullet ,m = 50g = 50 × $10^{-3}$ kg

• Initial velocity of bullet , u = 35 m/s

To find :

• Recoil velocity of the gun ?

Solution :

Let , the initial velocity of gun be v m/s

Before , firing both the gun and bullet was at the rest ,So the total momentum of gun and bullet is zero.

After firing,

$\rightarrow$ momentum of bullet = mu

$\rightarrow$ momentum of gun = Mv

$\rightarrow$ Total momentum of the gun and bullet after firing = mu + Mv

Since , there is no external force applied on the system

So , the total momentum after firing = Total momentum before firing

$\sf\huge\implies$ mu + Mv = 0

$\sf\huge\implies$ Mv = -mu

$\sf\huge\implies$ v = $\frac{mu}{M}$

$\sf\huge\implies$ $\frac{50×10^{-3}×35}{4}$

$\sf\huge\implies$ -0.44m/s

The negative sign shows that recoil velocity of the gun is in the opposite direction of that of the bullet.

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