Find the gravitational force acting on the Sun by the Earth.
Given: Mass of the Sun = 1.99 * 1030 kg
Mass of the Earth = 5.98 * 1024 kg
Radius of the Sun = 6.96 * 108 m
Radius of the Earth = 6.37 * 106 m
Distance between the Sun and the Earth = 1.50 * 1011 m
G = 6.67 * 10–11 N m2 kg–2
Just use the formula
F = GMm/r^2
Disregard the data about the sizes of the bodies. You have their masses and the separation, and G.
So, plug in the numbers.
use the formula g=Gm1m2/r^2
G=6.67 x 10^-11 N
To find the gravitational force acting on the Sun by the Earth, we can use the formula for gravitational force:
F = (G * M1 * M2) / r^2
where:
F represents the gravitational force
G is the gravitational constant (6.67 * 10^–11 N m^2 kg^–2)
M1 and M2 are the masses of the two objects (in this case, the mass of the Sun and the Earth)
r is the distance between the centers of the two objects (in this case, the distance between the Sun and the Earth)
Plugging in the given values:
Mass of the Sun (M1) = 1.99 * 10^30 kg
Mass of the Earth (M2) = 5.98 * 10^24 kg
Distance between the Sun and the Earth (r) = 1.50 * 10^11 m
Gravitational constant (G) = 6.67 * 10^–11 N m^2 kg^–2
F = (6.67 * 10^–11 N m^2 kg^–2 * 1.99 * 10^30 kg * 5.98 * 10^24 kg) / (1.50 * 10^11 m)^2
Now, let's calculate the gravitational force using a calculator:
F = (6.67 * 1.99 * 5.98 * 10^30 * 10^24 * 10^-11 N m^2 kg^–2) / (1.50)^2 * 10^11 * 10^11 m^2
= 7.97 * 10^22 N
Therefore, the gravitational force acting on the Sun by the Earth is approximately 7.97 * 10^22 N.