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## The radius of he Earth orbit around the sun (assumed circular) is 1.50 X 10^8km, with T=365d. What is the radial acceleration of Earth towar

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## Answers ( )

Answer:ar = 5.86*10^-3 m/s^2

Explanation:In order to calculate the radial acceleration of the Earth, you first take into account the linear speed of the Earth in its orbit.

You use the following formula:

(1)G: Cavendish’s constant = 6.67*10^-11 m^3 kg^-1 s^-2

Ms: Sun’s mass = 1.98*10^30 kg

r: distance between Sun ad Earth = 1.50*10^8 km = 1.50*10^11 m

Furthermore, you take into account that the radial acceleration is given by:

(2)You replace the equation (1) into the equation (2) and replace the values of all parameters:

The radial acceleration of the Earth, towards the sun is 5.86*10^-3 m/s^2