Question

6. Calculate the gravitational force on the earth due to the sun. It is this force which holds the earth in its orbit. Mass Sun = 1.99 x 10 30 kg Mass Earth = 5.98 X 10 24kg R = 1.5 x 10 11 m

Answer 1

`F = \boxed{3.53002 * 10^(22) \;N}`

Step-by-step explanation:

The formula used to calculate the gravitational force between two objects

`F = G (m_1m_2)/(r^2)`

where

m₁ and m₂ are the masses of the two objects

G is the universal gravitational constant =6.6743 × 10⁻¹¹ m³/kg·s²

r is the average distance between the two objects

We are given
mass of earth = m₁ = 5.98 X 10²⁴ kg

mass of sun = m₂ = 1.99 x 10³⁰ kg

r = 1.5 x 10¹¹ m

Therefore

`F\:=\:6.6743\:* \:10^(-11)* (\left(5.98\:* 10^(24)* 1.99\:* 10^(30)\right))/(\left(1.5\:* \:10^(11)\right)^2)`

`F = \boxed{3.53002 * 10^(22) \;N}`