Question

Find the gravitational force between the
Sun and the Earth.
Given Mass of the Sun = 1.99x1030 kg
Mass of the Earth = 5.98x1024 kg
The average distance between the Earth
and the Sun = 1.5x1011 m.​

Answer 1

Question:

Find the gravitational force between the

Sun and the Earth.

Given Mass of the Sun = 1.99x1030 kg

Mass of the Earth = 5.98x1024 kg

The average distance between the Earth

and the Sun = 1.5x1011 m.

Answer:

We can use Newton’s law of universal gravitation.

We can use Newton’s law of universal gravitation.Which is F = Gm1m2/r^2

Where the Force (F) will be in Newtons.

G is the “Universal Gravitational Constant”. G = 6.67 × 10^-11 N m^2 kg^-2

M1 is the first mass, the Sun. Mass of the Sun = 2 x 10^30 kg

M2 is the second mass, the Earth. Mass of the Earth = 6 x 10^24 kg

DR is the distance between the two objects. Distance from the Earth to the Sun = 1.5 x 10^11 metres

F = Gm1m2/r^2

F = G x 2 x 10^30 x 6 x 10^24/ [1.5 x 10^11] ^2 = 6.7 x 10^11 N

Answer 2

Answer:

The gravitational force = 35.44 × 10³²N

Explanation:

Mass of sun = M = 1.99 × 10³⁰kg

mass of earth = m = 5.98 × 10²⁴kg

Distance = d = 1.5 × 10¹¹m

Gravitational Force = F = G$\frac{m*M}{d^{2} }$

Here,

G = gravitaional constant = 6.7 × 10⁻¹¹nm²kg⁻²

So,

F = G$\frac{m*M}{d^{2} }$

6.7 × 10⁻¹¹ × 1.99 × 10³⁰ × 5.98 × 10²⁴

                     (1.5 × 10¹¹)²

=>  6.7 × 1.99 × 5.98 × 10⁵⁴

              (2.25 × 10²²)

=>  6.7 × 1.99 × 5.98 × 10³²

                    2.25

= 35.44 × 10³²

∴ The gravitational force = 35.44 × 10³²N

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