5 kg rifle fires a 10 gram bullet at velocity of velocity 500 m / second find out the recoil velocity of the rifle
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Given:-
→ Mass of the rifle = 5kg
→ Mass of the bullet = 10g
→ Velocity of the bullet = 500m/s
To find:-
→ Recoil velocity of the rifle
Solution:-
Firstly, let's convert the mass of the bullet from g to kg.
=> 1g = 0.001kg
=> 10g = 10(0.001)
=> 0.01kg
Now, let's calculate the recoil velocity of the rifle by using the Law of Conservation of momentum:-
=> M(-V) + mv = 0
=> -MV = -mv
=> V = mv/M
Where:-
• V is recoil velocity of the rifle.
• m is mass of the bullet.
• v is velocity of the bullet.
• M is mass of the rifle.
=> V = 0.01×500/5
=> V = 5/5
=> V = 1m/s
Thus, recoil velocity of the rifle is 1m/s .
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