a gun of mass 3 kg fires a bullet of mass 30 grams the bullet takes 0.003 s to move through the burial of the gun and acquires a velocity of hundred metre per second calculate the velocity required a velocity of hundred metre calculate the velocity which a gun recoils
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Given:
- Mass of gun = 3kg
- Mass of bullet = 30 g
- Velocity of bullet = 100 m/s
To find:
- Recoil velocity
Solution:
According to the law of conservation of momentum
m × v = m' × v'
Where
- m : mass of gun
- v : ?
- m' : mass of bullet
- v' : velocity of bullet
Converting all the units into the same units
30 g = 0.03 kg
→ 3 × v = 0.03 × 100
→ 3v = 3
→ v = 3/3
→ Recoil velocity = 1 m/s
Hence , recoil velocity = 1 m/s.
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More formulas
- Momentum = m × v
- Speed = distance/time
- Velocity = displacement/time
- Acceleration = v - u/t = ∆v/t
- Force = m × a
- K.E = 1/2 mv²
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