A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 ms –1 . The kinetic energy of the other mass is :
Text Solution
Verified by ExpertsThe correct answer is:
B
The linear momentum of exploding part will remain conserved.
Applying conservation of linear momentum, we write
m 1 u 1 = m 2 u 2
Here, m 1 = 18 kg, m 2 = 12 kg
µ 1 = 6 ms –1 , u 2 = ?
∴ 18 × 6 = 12u 2
⇒ u 2 = 
= 9 ms –1
Thus, kinetic energy of 12 kg mass
K 2 = 
m 2 u 22
= 
× 12 × (9) 2
= 6 × 81
= 486 J
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