A bomb of mass `3.0 kg` explodes in air into two pieces of masses `2.0 kg` and `1.0 kg`. The total energy imparted to the two fragment is

Options

A. `1.07 kJ`
B. `2.14 kJ`
C. `2.4 kJ`
D. `4.8 kJ`

Answer

D

Explanation

`3 xx 0 = 1 xx 80 - 2v`
`rArr v = 40 m//s`
`K_(f) = (1)/(2) xx 1 xx (80)^(2) + (1)/(2) xx 2 xx (40)^(2)`
`= 4800 J = 4.8 kJ`