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According to Newton's Law of Gravity, what is the magnitude of the net gravitational force exerted on the Earth by the Sun, given that the mass of the Earth is 5.97 x 10^24 kg, the mass of the Sun is 1.99 x 10^30 kg, and the average distance between them is 1.496 x 10^11 meters?
A
5.97 x 10^24 N
B
3.54 x 10^22 N
C
6.67 x 10^-11 N
D
1.99 x 10^30 N
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1
Identify the formula for Newton's Law of Universal Gravitation, which is: , where is the gravitational constant, and are the masses of the two objects, and is the distance between the centers of the two objects.
Substitute the given values into the formula: N(m/kg)2, kg (mass of the Earth), kg (mass of the Sun), and meters.
Calculate the denominator of the formula, which is the square of the distance: meters squared.
Calculate the numerator of the formula, which is the product of the gravitational constant and the masses: N(m/kg)2× kg × kg.
Divide the result from the numerator by the result from the denominator to find the magnitude of the gravitational force exerted on the Earth by the Sun.