Question

1) if a bomb at rest explodes into two pieces
must travel opposite directions. Explain.​

Answer 1

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Explanation:A bomb at rest explodes into two pieces. Let the mass of bomb be M and mass of two pieces be m  

1

​

 and m  

2

​

 respectively.  Now, according to conservation of momentum:  

Mv=m  

1

​

v  

1

​

+M  

2

​

v  

2

​

 

Here v=0 (bomb is at rest) and v  

1

​

 and v  

2

​

 are velocities of two masses after explosion.

M(0)=m  

1

​

v  

1

​

+m  

2

​

v  

2

​

 

m  

1

​

v  

1

​

+m  

2

​

v  

2

​

=0  

m  

1

​

v  

1

​

=−m  

2

​

v  

2

​

 

Now, masses cannot be negative that means the sign belongs to velocities. Therefore, the two pieces travel in opposite direction.

Answer 2

Answer:

If a bomb at rest explodes into two pieces then they will move in opposite directions with such velocities so that their center of mass will remain at rest and momentum of system will be zero because there was no external force on system during explosion.