A particle of mass m is initially at rest at the origin. It is subjected to a force and starts moving along the x-axis. Its kinetic energy K changes with time as dK/dt = γt, where γ is a positive constant of appropriate dimensions. Which of the following statements is (are) true?
Select all that apply

Question

A particle of mass m is initially at rest at the origin. It is subjected to a force and starts moving along the x-axis. Its kinetic energy K changes with time as dK/dt = γt, where γ is a positive constant of appropriate dimensions. Which of the following statements is (are) true?

Select all that apply

G1 Physics · Accepted Answer

dK/dt=γt integrates to K=½γt². Hence v∝t, so B is true. Momentum mv∝t, therefore F=dp/dt is constant, so A is true. A constant one-dimensional force is conservative, so D is true. Position varies as t², so C is false. Hence A,B,D.