A particle of mass is initially at rest at the origin

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle of mass mm is initially at rest at the origin. It is subjected to a force and starts moving along the xx-axis. Its kinetic energy KK changes with time as dK/dt=γtdK/dt = \gamma t, where γ\gamma is a positive constant of appropriate dimensions. Which of the following statements is (are) true? [Adv. 2018] (1) The force applied on the particle is constant (2) The speed of the particle is proportional to time (3) The distance of the particle from the origin increases linearly with time (4) The force is conservative

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