Question

A bomb of mass 4 kg, initially at rest, explodes breaking into two fragments of 1 kg and 3 kg. Which one of the following statements concerning the fragments after the explosion is correct? Group of answer choices The two fragments may fly off at right angles. The 3 kg fragment will have three times the speed of the 1 kg fragment. The two fragments may have the same speed, in exactly opposite directions. The two fragments may fly off in the same direction. The 1 kg fragment will have three times the speed of the 3kg fragment.

Answer 1

Answer: The 1 kg fragment will have three times the speed of the 3kg fragment.

Explanation:Here for the bomb, its chemical energy gets converted into the mechanical energy.

According to the law of conservation of momentum, the two bodies will have equal momentum and to satisfy this condition the lighter mass will have the higher velocity.

∵ momentum, p = mass × velocity

∴The 1 kg fragment will have three times the speed of the 3kg fragment.