If the linear momentum of a moving object gets doubled due to application of a force, then its kinetic energy will
remain same
increase by four times
increase by two times
increase by eight times
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CDS-2 – 2020
The linear momentum (p) of an object is given by the product of its mass (m) and velocity (v), i.e., p = mv. The kinetic energy (KE) is given by KE = (1/2)mv². We can express KE in terms of momentum: KE = (1/2)m(p/m)² = p²/(2m). If the momentum is doubled (p’ = 2p), the new kinetic energy (KE’) will be KE’ = (p’)²/(2m) = (2p)²/(2m) = 4p²/(2m) = 4 * (p²/(2m)) = 4 * KE.