Question

a bullet of mass 10g is fixed from a gun of mass 6 kg with a velocity of 300m/s. Calculate the recoil velocity of the gun ​

Answer 1

Answer

• Recoil velocity of the gun is 0.5 m/s

Given

• A bullet of mass 10 g is fixed from a gun of mass 6 kg with a velocity of 300 m/s

To Find

• The recoil velocity of the gun

Concept Used

Conservation of momentum

$\bigstar \;\;\; \bf P_{initial}=P_{final}$

Solution

$\rm Mass\ of\ bullet\ ,m_b=10g=0.01\ kg\\\\\rm Mass\ of\ gun\ ,m_g=6\ kg\\\\\rm Velocity\ of\ bullet\ ,v_b=300\ m/s\\\\\rm Recoil\ velocity\ of\ gun\ ,v_g=-?\ m/s\ [\; Since\ moves\ backward\ direction \;]$

$\rm Apply\ conservation\ of\ momentum.\\\\\implies \rm P_{initial}=P_{final}\\\\\implies \rm (m_g+m_b)v_i=m_g.(-v_g)+m_b.v_b\\\\\implies \rm (m_g+m_b)(0)=-(6)v_g+(0.01)(300)\ [Since,Initially\ whole\ apparatus\ is\ in\ rest]\\\\\implies \rm 0=-6v_g+3\\\\\implies \rm 6v_g=3\\\\\implies \rm v_g=0.5\ m/s$

$\rm So\ , Recoil\ velocity\ of\ the\ gun\ is\ 0.5\ m/s$

Answer 2

Answer:

these are the two answers pls check it