Many astronomers argue that the Earth and Moon should be considered a double planet,since the gravitational force by the sun on the Moon is approximately as big as that by the Earth on the moon.Using the data below for the Earth and Moon at the particular point in their orbits,and supposing that the moon is situated between the Earth and sun,Answer the questions that follow:
Distance from the Earth to the sun:147329612 Km
Distance from the Earth to the moon:374500 Km
Mass of the Earth: 5.9736 X 10^24Kg
Mass of the Moon:7.3477 X 10^22Kg
Mass of the Sun:1.9891 X 10^30 Kg
A) what is the magnitude of the force by earth on the moon?
B)what is the distance from the sun to the moon?
C) what is the magnitude of the force by the sun on the moon?
D)which objects pulls more strongly to the moon?
E)what is the net force experienced by the Moon?
A) To calculate the magnitude of the force by Earth on the Moon, we can use Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
Using the given data:
Mass of Earth (m1) = 5.9736 × 10^24 kg
Mass of Moon (m2) = 7.3477 × 10^22 kg
Distance from Earth to the Moon (r) = 374,500 km = 374,500,000 m
Plugging these values into the formula:
F = (6.67430 × 10^-11 N m^2 / kg^2) * ((5.9736 × 10^24 kg) * (7.3477 × 10^22 kg)) / (374,500,000 m)^2
Calculating this will give you the magnitude of the force exerted by Earth on the Moon.
B) To find the distance from the Sun to the Moon, we can use the given distances:
Distance from Earth to the Sun = 147,329,612 km = 147,329,612,000 m
Distance from Earth to the Moon = 374,500 km = 374,500,000 m
The distance from the Sun to the Moon can be calculated by subtracting the distance from the Earth to the Moon from the distance from the Earth to the Sun.
C) To calculate the magnitude of the force by the Sun on the Moon, we can use the same formula as in part A, but this time we will use the masses of the Sun (m1) and Moon (m2), as well as the distance from the Sun to the Moon (r) that we calculated in part B.
D) To determine which object pulls more strongly on the Moon, we compare the magnitudes of the forces exerted by the Earth and the Sun on the Moon. Whichever force is stronger will indicate which object exerts a greater gravitational pull on the Moon.
E) The net force experienced by the Moon is the vector sum of the forces exerted by the Earth and the Sun. It depends on the direction and magnitude of these two forces. To calculate the net force, you would need to consider how the forces are vectorially adding or subtracting based on their directions and magnitudes.