Question

A bullet of mass 0.020kg is fired; it strikes
the wooden block of 0.50kg and sticks in
it. The bullet and wooden block move off
together with a velocity of 100 m/s. What
is the momentum of the bullet with
wooden block?
2 kg m/ s
O 50 kg m/ s
O 52 kg m/s
O 70 kg m/ s​

Answer 1

Answer:

Let the recoil velocity of gun be V.

Mass of gun M  

gun

​  

=5.0 kg      

Mass of bullet  M  

bullet

​  

=0.01 kg

Velocity of bullet  V  

bullet

​  

=250 m/s

Initial momentum of the system   P  

i

​  

=0

Applying the conservation of linear momentum :   P  

f

​  

=P  

i

​  

 

Or    M  

gun

​  

V+M  

bullet

​  

V  

bullet

​  

=0

Or    5×V+0.01×250=0

⟹ V=−0.5 m/s

Answer 2

Answer:

Let the recoil velocity of gun be V.

Mass of gun Mgun=5.0 kg

Mass of bullet Mbullet=0.01 kg

Velocity of bullet Vbullet=250 m/s

Initial momentum of the system Pi=0

Applying the conservation of linear momentum : Pf=Pi

Or MgunV+MbulletVbullet=0

Or 5×V+0.01×250=0

⟹ V=−0.5 m/s