Aforce is applied to the rim of a disk that can rotate like a merry-go-round, so as to change its angular velocity. its initial and final angular velocities, respectively, for four situations are: (a) -2 rad/s, 5 rad/s; (b) 2 rad/s, 5 rad/s; (c) -2 rad/s, -5 rad/s; and (d) 2 rad/s, -5 rad/s. rank the situations according to the work done by the torque due to the force, greatest first.

Answer

from work energy theorem we can say that work done is equal to change in kinetic energy.

now, we have given four choices where initial and final angular speed are given

square of 2 and -2 is equal to 4

square of 5 and -5 is equal to 5

By inserting all the given option.

       W = 21I J

Hence, in all the option the result will be same because magnitude of each option is same.

80cm/s.

24cm/s.

53.3cm/s.