Question

Problem 3) The Gravitational Force:

The average distance between the center of the Earth and the center of the Moon is 384,000 km. A 3.00 x 10^4 kg spaceship is located halfway between the center of the Earth and the center of the Moon. Let the Earth be to the right of the spaceship and the Moon be to the left.

a) Draw a force diagram of the spaceship.

b) Solve for the net force (magnitude and direction) acting on the spaceship at this location. (Earth's mass= 5.98x10^24 kg, Moon's mass= 7.36x10^22 kg)

c) Why does the net force point towards the Earth in this case?

d) Solve for the acceleration of the spaceship at this location.

Answer #1

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...

(a) Find the magnitude of the gravitational force (in N) between
a planet with mass 8.25 ✕ 1024 kg and its moon, with mass 2.50 ✕
1022 kg, if the average distance between their centers is 2.60 ✕
108 m.
_________________ N
(B) What is the moon's acceleration (in m/s2) toward
the planet? (Enter the magnitude.)
_________________ m/s2
(c) What is the planet's acceleration (in m/s2)
toward the moon? (Enter the magnitude.)
__________________ m/s2

(a) Find the magnitude of the gravitational force (in N) between
a planet with mass 8.00 ✕ 1024 kg and its moon, with mass 2.65 ✕
1022 kg, if the average distance between their centers is 2.90 ✕
108 m.
N
(b) What is the moon's acceleration (in m/s2) toward the planet?
(Enter the magnitude.)
m/s2
(c) What is the planet's acceleration (in m/s2) toward the moon?
(Enter the magnitude.)
m/s2

(a)
Find the magnitude of the gravitational force (in N) between a
planet with mass 8.50 ✕ 1024 kg and its moon, with mass
2.40 ✕ 1022 kg, if the average distance between their
centers is 2.70 ✕ 108 m.
N
(b)
What is the moon's acceleration (in m/s2) toward the
planet? (Enter the magnitude.)
m/s2
(c)
What is the planet's acceleration (in m/s2) toward
the moon? (Enter the magnitude.)
m/s2

(a) Find the magnitude of the gravitational force (in N) between
a planet with mass 6.75 ✕ 1024 kg and its moon, with mass 2.60 ✕
1022 kg, if the average distance between their centers is 2.10 ✕
108 m. Incorrect: Your answer is incorrect. N (b) What is the
moon's acceleration (in m/s2) toward the planet? (Enter the
magnitude.) m/s2 (c) What is the planet's acceleration (in m/s2)
toward the moon? (Enter the magnitude.) m/s2

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...

A hole is drilled through the center of Earth. The gravitational
force exerted by Earth on an object of mass m as it goes
through the hole is
mg(r/R),where r is the
distance of the object from Earth's center and R is the
radius of Earth (6.4×106m).
A. Would this be a comfortable ride?
a)Going through the hole would be an uncomfortable ride because
of the extreme temperature in the interior of Earth.
b)Going through the hole would be...

The distance between the center of the moon and the center of
the earth is is 4.0*10^6 m. The moon is also regarded as a point
mass situated at its center. The orbit period of the moon about the
earth is 2.4*10^6s.
(a) Calculate the orbital speed of the moon?
(b) Using your answer above and what you know about energy.
Calculate the value of the Gravitational potential due to earth at
a distance of 4.0*10^9m from its center.

Which of the following is true about the gravitational force
acting between the earth and the sun?
(a) The magnitude of the force will be higher on the earth
because it is smaller than the sun
(b) The magnitude of the force will be higher on the sun because
it is larger than the earth
(c) The magnitude of the force will get larger as the earth
moves farther away form the sun
(d) The magnitude of the force at...

Given that the mass of the Earth is 5.972 X 1024 kg,
the mass of the Moon is 7.346 X 1022 kg, and the
distance, center of mass to center of mass is 3.85 X 105
km
What is the force of gravitational attraction between the
two?

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