Work, Power and EnergyHard
Question
A particle of mass m is moving in a circular path of constant radius r such that its centrip-etal acceleration ac is varying with time t as ac = k2 r t2, where k is a constant. The power delivered to the particle by the force acting on it is
Options
A.2πmk2r2
B.mk2r2t
C.
D.zero
Solution
ac = k2r2
or
= k2rt2 or v = krt
Therefore, tangential acceleration, at =
= kr
or Tangential force, Ft = ma = mkr
Only tangential force does work
Power = Ftv = (mkr) = (krt)
or Power = mk2r2t
or
= k2rt2 or v = krtTherefore, tangential acceleration, at =
= kror Tangential force, Ft = ma = mkr
Only tangential force does work
Power = Ftv = (mkr) = (krt)
or Power = mk2r2t
Create a free account to view solution
View Solution FreeMore Work, Power and Energy Questions
A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the strin...The figure indicates the energy level diagram of an atom and the origin of six spectral lines in emission (e.g. line no....The kinetic energy of a body becomes four times its initial value. The new linear momentum will be:-...Which of the following is a non conservative force:-...If the values of force and length are increased four times then the unit of energy will increase by-...