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(a) Can kinetic energy of a system be ch...

(a) Can kinetic energy of a system be changed without changing its momentum ?
(b) Can momentum of a system be changed without changing its kinetic energy?

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(a) Yes, For example, when a bomb explodes linear momentum is conserved, but KE changes.
(b) Yes. For example, in case of uniform circular motion. KE remains unchanged, but linear momentum changes because of change in the direction of motion.
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