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 = t where λ is a positive const…

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 = t where λ is a positive constant of appropriate dimensions. Which of the following statements is (are) true?

Accepted Answer

Correct answer: A, B, D. (a, b, d) Sol. m v d vd t = d kd t = t v dv = γm t dt v^22 = γm t^22 v ∝ t d vd t = constant F = constant d xd t ∝ t x ∝ t^2

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

Solution

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