The mass of Earth is M_E = 6.0 $\times$ 10²⁴ kg,and the mass of the Sun is 2.0 $\times$ 10³⁰ kg.They are a distance of 1.5 $\times$ 10⁸ km apart.Calculate the acceleration of Earth due to the gravitational attraction of the Sun.(G = 6.67 $\times$ 10^-11 N·m²/kg²) A)1.8 $\times$ 10^-8 m/s² B)6.0 $\times$ 10^-3 m/s² C)9.8 m/s² D)6.0 m/s² E)6.0 $\times$ 10³ m/s²

Question

Quizplus · Accepted Answer

The acceleration due to the gravitational attraction of the Sun on Earth can be calculated using the formula:

a = GM/R^2

where G is the gravitational constant, M is the mass of the Sun, R is the distance between the centers of Earth and the Sun.

Substituting the given values, we get:

a = (6.67 x 10^-11 N·m^2/kg^2) x (2 x 10^30 kg) / (1.5 x 10^11 m)^2

a = 5.93 x 10^-3 m/s^2

This is the acceleration of Earth due to the gravitational attraction of the Sun. The best choice among the given options is B (6.0 x 10^-3 m/s^2) as it is the closest value to the calculated value.

The Mass of Earth Is ME = 6 ×\times× 1024 Kg,and the Mass of the Sun Is 2

The Mass of Earth Is M_E = 6 $\times$ 10²⁴ Kg,and the Mass of the Sun Is 2