Calculate the centripetal force exerted on the earth by the sun. assume that the period of revolution for the earth is 365.25 days, the average distance is1.5 x 108 km and the earth's mass is 6 x 1024 kg. choose one answer below:

1. 4.6238 x 1029 n
2. 1: 62932 x 1021 n
3. none of these
4. 7.24562 x 1022 n
5. 2.66331 x 1032 n
6. 3.56775 x 1019 n
7. 3.56775 x 1022 n
8. 7.24562 x 1020 n
9. 1.28439 x 1026 n

To solve this problem we will apply the concept related to the kinematic equations of angular motion, as well as the definition of the period as a function of angular velocity and Newton's second law. For this purpose we will have to:

Where,

a = Acceleration

= Angular velocity

r = Radius

At the same time the angular frequency defined in terms of period:

Replacing at the first equation we have that

Applying this concept of acceleration in Newton's second law we have to

Our values are given as,

Replacing we have,

Therefore the correct answer is 7.

v=ir = 3x15 =45 v

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