# Physics

posted by .

The Moon causes tides because the gravitational force it exerts differs between the side of the Earth nearest the Moon and that farthest from the Moon. Find the difference in the accelerations toward the Moon of objects on the nearest and farthest sides of the Earth. (The mass of the Moon is Mm = 7.36 1022 kg, the radius of the Earth is RE = 6.37 106 m and the distance between the Earth and the Moon is d = 3.82 108 m.)

• Physics -

Moon orbit radius r = 3.84•10^8 m
Earth radius R = 6.37•10^6 m
F1 = G •m₁•m₂/(r+R)²
m₁ = mass of the object
m₂ = moon's mass
r+R = 3.84•10^8 + (m)

far side
F2 = G• m₁•m₂/(r-R)²
m₁ = mass of the oject
m₂ = moon's mass
r-R = 3.84•10^8 - 6.37•10^6 (m)

∆F = G• m₁•m₂/(r-R)² – G• m₁•m₂/(r+R)²
∆F = G• m₁•m₂[ 1/(r-R)² – 1/(r+R)² ]
∆F/m₁ = ∆a = G•m₂[ 1/(r-R)² – 1/(r+R)² ]

## Similar Questions

1. ### physic

The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force SM that the sun exerts on the moon is perpendicular to the force EM that the earth exerts on the moon. The masses are: mass of sun …

The moon causes tides because the gravitational force it exerts differs between the side of the Earth nearest the Moon and that farthest from the Moon. Find the difference in the accelerations toward the Moon of objects on the nearest …
3. ### WSU PHY

The Moon causes tides because the gravitational force it exerts differs between the side of the Earth nearest the Moon and that farthest from the Moon. Find the difference in the accelerations toward the Moon of objects on the nearest …
4. ### physics

Which of the following correctly describe the gravitational attraction between Earth and the Moon?
5. ### physics

The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force SM that the sun exerts on the moon is perpendicular to the force EM that the earth exerts on the moon. The masses are: mass of sun …
6. ### Physics

The earth has about 80 times the mass of the earth’s moon. The gravitational force exerted on the moon by the earth has what relation to the gravitational force exerted on the earth by the moon?
7. ### physics

The gravitational force that the sun exerts on the moon is perpendicular to the force that the earth exerts on the moon. The masses are: mass of sun=1.99 × 1030 kg, mass of earth=5.98 × 1024 kg, mass of moon=7.35 × 1022 kg. The …
8. ### physics

The gravitational force that the sun exerts on the moon is perpendicular to the force that the earth exerts on the moon. The masses are: mass of sun=1.99 × 1030 kg, mass of earth=5.98 × 1024 kg, mass of moon=7.35 × 1022 kg. The …
9. ### physics

The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force that the sun exerts on the moon is perpendicular to the force that the earth exerts on the moon. The masses are: mass of sun=1.99 × …
10. ### Physics

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 …

More Similar Questions