Question

Calculate (separately) the gravitational force that the Earth exerts on the Moon, and that the Sun exerts on the Moon. Please take the masses and distances from the Appendix section of your textbook. When you compare these two forces, which body should the Moon orbit around do you think? Explain the reason if you find a contradiction between what you find from your calculation and what you observe.

Answer #1

M_{e} = mass of earth = 5.98 x 10^{24} kg

m = mass of moon = 7.35 x 10^{22} kg

r = distance between earth and moon = 3.8 x 10^{8} m

gravitational force between earth and moon is given as

F_{e} = G M_{e} m/r^{2} = (6.67 x
10^{-11}) (5.98 x 10^{24}) (7.35 x
10^{22})/(3.8 x 10^{8})^{2} = 2.03 x
10^{20} N

M_{s} = mass of sun = 1.989 x 10^{30} kg

m = mass of moon = 7.35 x 10^{22} kg

r = distance between sun and moon = 1.5 x 10^{11} m

gravitational force between earth and moon is given as

F_{s} = G M_{e} m/r^{2} = (6.67 x
10^{-11}) (1.989 x 10^{30}) (7.35 x
10^{22})/(1.5 x 10^{11})^{2} = 4.3 x
10^{20} N

1)The highest ocean tides occur when
Earth and the Moon are
Lined up with the Sun
At right angles to the Sun
At any angle to the Sun
Lined up during spring
2)A satellite in Earth orbit is above Earth’s
Atmosphere
Gravitational field
Both
Neither
3)What happens to the force of gravity between two objects when
their masses are EACH doubled and the distance between them is also
doubled.
The force doubles
The force is reduced to ½
The force...

uring a solar eclipse, the Moon is positioned directly between
Earth and the Sun.
The masses of the Sun, Earth, and the Moon are 1.99×1030
kg,1.99×1030 kg, 5.98×1024 kg,5.98×1024 kg, and 7.36×1022
kg,7.36×1022 kg, respectively. The Moon's mean distance from Earth
is 3.84×108 m,3.84×108 m, and Earth's mean distance from the Sun is
1.50×1011 m.1.50×1011 m. The gravitational constant is G=6.67×10−11
N⋅m2/kg2.G=6.67×10−11 N·m2/kg2.
Find the magnitude FF of the net gravitational force acting on
the Moon during the solar eclipse...

Compare the force of gravity due to the sun on the moon with the
force exerted by the earth on the moon. (Find the ratio.) The sun's
mass is about 3 x 105 that of the earth and is about 1.5
x 108 km from the moon whereas the earth is only 3.8 x
105km away.

1. On occasion, the Earth-Moon-Sun system is aligned
such that the Earth or Moon casts a shadow partially or directly on
the other body. These events are called eclipses. A lunar eclipse
happens when the Moon passes through the Earth’s shadow. A solar
eclipse occurs when the Moon is in a position where it blocks
sunlight from getting to Earth.
A. Draw a Sun-Earth-Moon diagram for each kind of eclipse (lunar
and solar). Make sure you draw your diagrams large...

At a certain instant, the earth, the moon, and a stationary 1020
kg spacecraft lie at the vertices of an equilateral triangle whose
sides are 3.84×105km3.84×105km in length.
(a) Find the magnitude of the net gravitational force exerted on
the spacecraft by the earth and moon.
Express your answer to three significant figures.
(b) Find the direction of the net gravitational force exerted on
the spacecraft by the earth and moon. State the direction as an
angle measured from a...

At a certain instant, the earth, the moon, and a stationary 1290
kg spacecraft lie at the vertices of an equilateral triangle whose
sides are 3.84×10^5 km in length.
A. Find the magnitude of the net gravitational force exerted on
the spacecraft by the earth and moon.
___ N
B. Find the direction of the net gravitational force exerted on
the spacecraft by the earth and moon. State the direction as an
angle measured from a line connecting the earth...

The Earth has a mass
of 5.97 * 1024 kg and the Moon has a mass of 7.35 *
1022 kg. If they are separated by a distance of 3.85 *
105 km, what is the force (in N) between the Earth and
the Moon? (Enter your answer in scientific notation: 1.23E12 means
1.23 * 1012) Then, assume the Moon travels in a perfect
circle around the Earth, with masses and distances given above, and
takes 27.32 days to complete...

From the gravitational law calculate the weight W (gravitational
force with respect to the earth) of a 83-kg man in a spacecraft
traveling in a circular orbit 291 km above the earth's surface.
Express W in both newtons and pounds.

Calculate, using Newton's law of gravity, the size of the force
of attraction between the earth and a mass of 2.0 kg on the earth.
Data: Distance to the center of earth from the surface = 6370 km.
Mass of earth = 5.98·1024kg. Gravitational constant G = 6.67·10-11
Nm2/kg2.
Calculate, using Newton's law of gravity, the size of the force
of attraction between the moon and a mass of 2.0 kg on the earth's
surface nearest the moon. Data: Distance...

Could you find the Mass of the Sun using the slope of the of
T2 versus a3, using the values that are in
units of years and AU? Explain.
Suppose we discovered a planetary body orbiting our Sun at a
distance of 15 AU. How long would this world take to complete one
orbit around the Sun? (show your work)
Suppose Astronomers noticed a moon around the newly discovered
planet in Question 2. By watching this moon, noting its period...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 4 minutes ago

asked 4 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 11 minutes ago

asked 13 minutes ago

asked 14 minutes ago

asked 24 minutes ago

asked 35 minutes ago

asked 39 minutes ago

asked 39 minutes ago