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A ball has a mass of 1.99x1040 kg. The planet Neptune has a mass of 1.03x1026 kg and is 4.50x1012 m from the Sun.
Calculate the gravitational force between the Sun and Neptune.

6.75×10³⁰ N.

Explanation:

Applying Newron's Law of universal gravitation.

From the question,

F = Gm₁m₂/r² Equation 1

Where F = Gravitational force between the sun and Neptune, m₁ = mass of Neptune, m₂ = mass of the sun, r = distance bewteen the sun and Neptune, G = gravitational constant.

Given: m₁ = 1.99×10⁴⁰ kg, m₂ = 1.03×10²⁶ kg, r = 4.50×10¹² m

Constant: G = 6.67×10⁻¹¹ Nm²kg⁻².

Substitute these values into equation 1

F = [(6.67×10⁻¹¹)( 1.99×10⁴⁰)(1.03×10²⁶)]/(4.50×10¹²)²

F = (13.67×10⁴⁰⁺²⁶⁻¹¹)/(20.25×10²⁴)

F = (13.67×10⁵⁵)/(20.25×10²⁴)

F = 0.675×10⁵⁵⁻²⁴

F = 0.675×10³¹

F = 6.75×10³⁰ N.

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