A gun moves backward when a bullet is fired from it a)name the principle behind it b)find the recoil velocity of gun when a bullet of mass 0.2g is fired with a velocity of 300m/s mass of gun is 2kg
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a) The principle behind it is the conservation of momentum from the Newton's third law of motion i.e. ''every action has equal and opposite reaction.''
b) Given, the recoil velocity(v₂) of gun when a bullet of mass 0.2g (m₂) is fired with a velocity of 300m/s(m₁) mass of gun is 2kg (m₁) .
We have the formula , if the initial velocity is 0 from the conservation of momentum : -
=> m₁v₁ = m₂v₂
=> 2Kg * 300m/s = 0.2 * 10⁻³ Kg * v₂
=> v₂ = 600/(0.2 * 10⁻³) m/s
=> v₂ = 3 * 10⁶ m/s (Ans.) is the recoil velocity .
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it is the third law of Newton i.e every action has equal amount of reaction
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