Question

The mean diameters of planets A and B are 7.9 × 103 km and 1.0 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.47. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?

Answer #1

The mean diameters of X and Y, two planets in
the same solar system, are 6.4 ✕ 103 km
and 2.0 ✕ 104 km, respectively. The
mass of X is 0.17 times the mass of Y. The value
of g on Y is 9.0 m/s2.
(a) What is the ratio of the mean density of X to that
of Y?
ρX
ρY
=
(b) What is the value of g on X?
m/s2
(c) The mass of Y is 1.349...

The mean diameters of X and Y, two planets in
the same solar system, are 6.4 ? 103 km and 1.8 ?
104 km, respectively. The mass of X is 0.24
times the mass of Y. The value of g on Y
is 8.4 m/s2.
(a) What is the ratio of the mean density of X to that
of Y?
?X
?Y
=
(b) What is the value of g on X?
m/s2
(c) The mass of Y is 1.020...

Your task is the compare the surface gravitational acceleration
of four planets to that of Earth.
Earth has mass ME and radius
RE
Planet A has mass MA =
3MEand radius RA =
2RE
Planet B has mass MB =
ME/3 and radius RB =
RE/2
Planet C has mass MC =
ME/6 and radius RC =
RE/3
Planet D has mass MD =
2ME and radius RD =
2RE
Which of the planets has the greatest surface gravitational
acceleration?

Planet Z is 7000 km in diameter. The free-fall acceleration on
Planet Z is 7.0 m/s2.
What is the mass of Planet Z?
What is the free-fall acceleration 1.0×104 km above Planet Z's
north pole?

Consider a planet with a radius of 4,000 km. Moons of the same
density as the planet will break up if their orbits move within
what distance of the planets center?
A. 2,400 km
B. 4,800 km
C. 9,600 km
D. 19,200 km

(a)
What is the escape speed on a spherical asteroid whose radius is
633 km and whose gravitational acceleration at the surface is 0.707
m/s2? (b) How far from the surface will a particle go if it leaves
the asteroid's surface with a radial speed of 601 m/s? (c) With
what speed will an object hit the asteroid if it is dropped from
868.7 km above the surface?

Tamsen and Vera imagine visiting another planet, planet X, whose
gravitational acceleration, gX, is different
from that of Earth's. They envision a pendulum, whose period on
Earth is 2.243 s, that is set in motion on planet X, and the period
is measured to be 1.400 s. What is the ratio of
gX/gEarth? Neglect any
effects caused by air resistance.
A) gx/ge=
If the average density of planet X is equal to Earth's average
density, ρE, what is the ratio...

(a) What is the escape speed on a spherical asteroid whose
radius is 590 km and whose gravitational acceleration at the
surface is 2.7 m/s2? m/s
(b) How far from the surface will a particle go if it leaves the
asteroid's surface with a radial speed of 1000 m/s? m
(c) With what speed will an object hit the asteroid if it is
dropped from 1000 km above the surface? m/s

Consider a 355kg satellite in a circular orbit at a distance of
3.07 x 104 km above the Earth’s surface. What is the
minimum amount of work the satellite’s thrusters must do to raise
the satellite to a geosynchronous orbit? Geosynchronous orbits
occur at approximately 3.60 x 104 km above the Earth’s
surface. The radius of the Earth and the mass of the Earth are
RE = 6.37 x 103 km and ME = 5.97 x
1024 kg respectively. The...

Stationary planets “A” and “B”, each with mass 1024 kg, are
located 106 m away from each other in the horizontal direction (x).
Space capsule “C” with a mass of 1000 kg starts at rest 106 m from
both “A” and “B”, so the three objects form an equilateral
triangle. Assume that “A” and “B” have a fixed position and cannot
move, while “C” is able to move freely.
What is the net gravitational force vector on “C” at time...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 25 minutes ago

asked 25 minutes ago

asked 29 minutes ago

asked 44 minutes ago

asked 54 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago