Calculate the gravitational force between the Sun and Neptune. The mass of the Sun is 1.99×1030 kg. The mass of Neptune is 1020×1023 kg. The distance between them is 450×1010 m.

Answer 1

We can find the gravitational force between the Sun and Neptune by using the following formula:

F = G * (M1 * M2) / r²

Where:
F is the gravitational force
G is the gravitational constant (6.674×10⁻¹¹ N·(m²/kg²))
M1 is the mass of the Sun (1.99×10³⁰ kg)
M2 is the mass of Neptune (1020×10²³ kg)
r is the distance between them (450×10¹⁰ m)

Plugging the values into the formula:

F = (6.674×10⁻¹¹) * ((1.99×10³⁰) * (1020×10²³)) / (450×10¹⁰)²

F = (6.674×10⁻¹¹) * (20358×10⁵³) / (20250×10²⁰)

F = (6.674×10⁻¹¹) * (20358/20250) * 10³³

F ≈ 1.005 * 6.674 * 10²²

F ≈ 6.70847 * 10²² N

The gravitational force between the Sun and Neptune is approximately 6.70847 * 10²² Newtons.