Question

1) Find the magnitude of the gravitational force a 69.6 kg person would experience while standing on the surface of Earth with a mass of 5.98 × 1024 kg and a radius of 6.37 × 106 m. The universal gravitational constant is 6.673 × 10−11 N · m2 /kg^2 Answer in units of N.

2) Find the magnitude of the gravitational force on Mars, with a mass of 6.34 × 1023 kg and a radius of 3.43 × 106 m. Answer in units of N.

3) Find the magnitude of the gravitational force on Pluto, with a mass of 1.32 × 1022 kg and a radius of 1.15 × 106 m. Answer in units of N.

Answer #1

(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

(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

Find the magnitude of the gravitational force (in N) between a
planet with mass 8.75 ✕ 1024 kg and its moon, with mass
2.45 ✕ 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

Compare the weight of a 5.40-kg object on Earth's surface to the
gravitational force between a 5.40-kg object that is one Earth
radius from another object of mass equal to 5.98 ×× 1024
kg. Use Newton's universal law of gravitation for the second part
of the question.
2)
Determine the gravitational force an Earth radius away.
(Express your answer to three significant figures.)

On the way to the moon, the Apollo astronauts reach a point
where the Moon’s gravitational pull is stronger than that of
Earth’s. Find the distance of this point from the center of the
Earth. The masses of the Earth and the Moon are 5.98 × 1024 kg and
7.36 × 1022 kg, respectively, and the distance from the Earth to
the Moon is 3.84 × 108 m. Answer in units of m.
b) What would the acceleration of the...

A 2090-kg space station orbits Earth at an altitude of 479000 m.
Find the magnitude of the force with which the space station
attracts Earth. The mass and mean radius of Earth are 5.98 × 1024
kg and 6370000 m, respectively.

A space vehicle, of mass 505 kg, experiences a gravitational
force (pull) from Earth of 258 N.
The mass of Earth is 5.98 x 10^24 kg. Radius of the Earth = 6.38
x 10^6 m, G = 6.67 x 10^-11 N-m2/kg2
a) How far is the vehicle from the center of the Earth?
b) How far is the space vehicle above the surface of the
Earth?
PD: explanation with units, please.

A 53.2 kg satellite circles planet Cruton every 5.21 h. The
magnitude of the gravitational force exerted on the satellite by
Cruton is 65.1 N. (a) What is the radius of the
orbit? (b) What is the kinetic energy of the
satellite? (c) What is the mass of planet
Cruton?

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