A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest, the force on the particle at time t is?

Question

Accepted Answer

Correct answer: A. (a) As the machine delivers a constant power. So F .v= constant =k (watts) ⇒m dv dt v=k ⇒ vdv= km dt ⇒ v^22= kmt ⇒v= 2kmt Now, force on the particle is given by F=m dv dt=m d dt ( 2 ktm )^ 12 = 2 km ( 12t^- 12 )= mk2 t^- 12

$A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest, the force on the particle at time t is?$

Solution

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