An object of mass 3m, initially at rest on frictionless horizontal surface, explodes breaking into two fragments of mass m and 2m, respectively. Which one of the following statements after the explosion is true?

Velocity of center of mass increases.

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Speed of smaller fragment will be twice that of largest fragment.

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Fragments have equal magnitude of momentum in ground frame but different magnitude of momentum in center of mass frame.

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Kinetic energy of system increases.

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Solution

The correct options are
B Speed of smaller fragment will be twice that of largest fragment.
D Kinetic energy of system increases.
Velocity of CoM will remain unchanged as explosion was an internal force.
ratio of velocities will be inverse of ratio of masses i.e.,Speed of smaller fragment will be twice that of largest fragment.
K.E. will increase as both fragments have their K.E. where as initial mass was on rest.
Fragments have equal magnitude of momentum in ground frame and center of mass frame
as CoM is also not moving.

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