A rifle of mass 5 kg fires a bullet of mass 40 gm- The bullet leaves the barrel of the rifle with a velocity 200 m - s- If the bullet takes 0-004 s to move through the barrel- calculate the recoil velocity of the rifle-A- 3-2 m - secB- 2 m - secC- 4 m - secD- 1-6 m - sec

The correct option is D 1.6 m/sec Applying law of conservation of momentum, m_1 a_1 = m_2 a_2 5 × (recoil velocity of rifle) = 0.04 × (200m/sec) Recoil velo ...

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Standard X

Physics

Kinetic Energy

A rifle of ma...

Question

A rifle of mass 5 kg fires a bullet of mass 40 gm. The bullet leaves the barrel of the rifle with a velocity 200 $\frac{m}{s}$ . If the bullet takes 0.004 s to move through the barrel, calculate the recoil velocity of the rifle.

3.2 m/sec

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2 m/sec

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4 m/sec

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1.6 m/sec

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Solution

The correct option is D
1.6 m/sec

Applying law of conservation of momentum, $m_{1}$ $a_{1}$ = $m_{2}$ $a_{2}$

5 $\times$ (recoil velocity of rifle) = 0.04 $\times$ (200 $\frac{m}{s e c}$ )

Recoil velocity of rifle = $\frac{8}{5}$ = 1.6 $\frac{m}{s e c}$

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A rifle of mass 5 kg fires a bullet of mass 40 gm. The bullet leaves the barrel of the rifle with a velocity 200 ms. If the bullet takes 0.004 s to move through the barrel, calculate the recoil velocity of the rifle.

The correct option is D 1.6 m/sec Applying law of conservation of momentum, m1 a1 ​ = m2 a2 5 × (recoil velocity of rifle) = 0.04 × (200msec) Recoil velocity of rifle = 85 = 1.6 msec

A rifle of mass 5 kg fires a bullet of mass 40 gm. The bullet leaves the barrel of the rifle with a velocity 200 $\frac{m}{s}$ . If the bullet takes 0.004 s to move through the barrel, calculate the recoil velocity of the rifle.

The correct option is D
1.6 m/sec

Applying law of conservation of momentum, $m_{1}$ $a_{1}$ = $m_{2}$ $a_{2}$

5 $\times$ (recoil velocity of rifle) = 0.04 $\times$ (200 $\frac{m}{s e c}$ )

Recoil velocity of rifle = $\frac{8}{5}$ = 1.6 $\frac{m}{s e c}$