AP EAMCET2006PhysicsRotational Motion
Assume the earth's orbit around the sun as circular and the distance between their centres as D . Mass of the earth is M and its radius is R . If earth has an angular velocity ₀ with respect to its centre and with respect to the centre of the sun, the total kinetic energy of earth is :
Options
- AM R^2 ₀^2 5 [1+ ( ₀ )^2+ 5 2 ( D R ₀ )^2 ]
- BM R^2 ₀^2 5 [1+ 5 2 ( D R ₀ )^2 ]
- C2 5 M R^2 ₀^2 [1+ 5 2 ( D R ₀ )^2 ]
- D2 5 M R^2 ₀^2 [1+ ( ₀ )^2+ 5 2 ( D R ₀ )^2 ]
Correct answer
B. M R^2 ₀^2 5 [1+ 5 2 ( D R ₀ )^2 ]
Step-by-step solution
( KE )_ total = 1 2 2 5 M R^2 ₀^2+ 1 2 M R^2 ( D^2 R^2 ) ^2= M R^2 ₀^2 5 [1+ 5 2 ( D R ₀ )^2 ]