19) If velocity is doubled, then: (Work, Power & Energy, work energy principal)

Explanation

Correct Answer: (d) momentum increases to 2 times and K.E increases to 4 timesExplanation:Momentum (p) is directly proportional to velocity (v): p = mv, where m is the mass of the object. Therefore, doubling the velocity doubles the momentum.doubling the velocity of an object will result in the doubling of its momentum, provided the mass remains constant. This relationship arises from the definition of momentum as the product of mass and velocity.p=mvWhere:p is the momentum of the object,m is the mass of the object,v is the velocity of the object.Kinetic energy (KE) is proportional to the square of velocity: KE = 1/2 mv². So, doubling the velocity increases KE by 2² = 4 times. Incorrect Options:(a): While momentum doubles, KE increases by four times, not two times.(b): Both momentum and KE change when velocity is doubled, so they cannot remain the same.(c): There is no constant increase in KE when velocity changes. It depends on the square of the velocity.