Question

A bomb of mass 6kg initially at rest explodes into two fragments of masses 4kg and2kg respectively. If the greater mass moves with a velocity of 5m_s, find the velocity of 2kg mass​

Answer 1

v = 10 [m/s].

Step-by-step explanation:

The largest mass is that of 4 [kg], in this way the momentum can be calculated by means of the product of the mass by velocity.

`P=m*v\\`

where:

P = momentum [kg*m/s]

m = mass = 4 [kg]

v = velocity = 5 [m/s]

Now the momentum:

`P=4*5\\P=20[kg*m/s]`

This same momentum is equal for the other mass, in this way we can find the velocity.

`P=m*v\\20=2*v\\v=10[m/s]`