What is the magnitude of the gravitational force between the earth and the sun, given that the distance between their centres is 1.5 x 10^11 m?*1 point3.6 x 10^19 N3.6 x 10^20 N3.6 x 10^21 N3.6 x 10^22 N
Question
What is the magnitude of the gravitational force between the earth and the sun, given that the distance between their centres is 1.5 x 10^11 m?*1 point3.6 x 10^19 N3.6 x 10^20 N3.6 x 10^21 N3.6 x 10^22 N
Solution
To calculate the gravitational force between two objects, we can use Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
where: F is the force between the masses, G is the gravitational constant, m1 and m2 are the two masses, and r is the distance between the centers of the two masses.
Given: G = 6.674 * 10^-11 N(m/kg)^2, m1 (mass of the Earth) = 5.972 * 10^24 kg, m2 (mass of the Sun) = 1.989 * 10^30 kg, and r = 1.5 * 10^11 m,
we can substitute these values into the formula:
F = (6.674 * 10^-11 N(m/kg)^2 * (5.972 * 10^24 kg * 1.989 * 10^30 kg)) / (1.5 * 10^11 m)^2
After calculating the above expression, we find that F ≈ 3.52 * 10^22 N. So, the closest answer to this value is 3.6 x 10^22 N.
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