MHT CET202020 Oct 2020Morning ShiftPhysicsMotion in Two DimensionsActual
A particle of mass 'm' moves along a circle of radius 'r' with constant tangential acceleration. If kinetic energy 'E' of the particle becomes three times by the end of third revolution after beginning of the motion then the magnitude of tangential acceleration is
Options
- AE 12 rm
- BE 3 rm
- CE 6 rm
- DE 24 rm
Correct answer
C. E 6 rm
Step-by-step solution
E ₁= 1 2 mv ²= 1 2 mr ² ₁²E₂= 3 2 m r² ₁² E₂ E₁ =3 E₂=3 E₁ 1 2 mr ² ²=3 1 2 ~m ₀² r ² ²=3 ₀² 1 2 m ₀² r²=E ₀²= 2 E mr ² ²= ₀²+2 3 ₀²= ₀²+2 (3.2 )2 ₀²=12 = ₀² 6 = 2 E mr ² 1 6 = E 3 mr ² But a =r =r E 3 mr ² = E 3 mr