Question

What are the four possible shapes for orbits, and how are they related to escape speed and circular speed?

Answer #1

assume that the earth orbits the sun in a circular orbit with
constant speed at a radius of 1.5 x 10^11 m with a period of T =
356 days. Calculate the speed of the earth in its orbit (in
m/s)

What minimum launch speed is needed for a rocket to leave the
surface of a solar system planet (in circular orbit) and escape the
sun? Escape speed of the planet is Vesc and the planet's orbital
speed is Vorb. How could launch at this speed not result in escape
from the sun?

At what temperature would the rms speed of helium atoms
equal
a. the escape speed from Earth, 1.12 m/s
b. the escape speed from the Moon, 2.37
m/s?
Note: The mass of a helium atom is 6.64 x 10-27 kg and
the Boltzmann’s constant is

What is the escape speed for an object to leave the surface of
Jupiter?
How many Earth days are in a year for Jupiter? (Note: Jupiter’s
mass is 1.898 x 1027 kg, its radius is 43,441 miles and it is
located 483.8 million miles from the Sun) (Additional note: Earth
is located 92.96 million miles from the Sun)

(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?

(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

The minimum distance of a comet from the Sun is observed to be
an eighth of the radius of the Earth’s orbit (which
is assumed to be circular), and its speed at that point (the
perihelion) is four times the orbital speed vE of the Earth.
The orbits of the Earth and comet are coplanar.
a) Find the comet’s speed in terms of vE when it crosses the
Earth’s orbit, and the angle at which the orbits cross.
b) Will...

Part A
What is the escape speed of an electron launched from the
surface of a 1.5-cm-diameter glass sphere that has been charged to
9.0 nC ?
Express your answer to two significant figures and include the
appropriate units.
v=

If the earth orbits the sun at the speed of 29.783 km/sec, what
is its velocity in miles per hour? Solve using dimensional
analysis.

What is the escape speed of an electron launched from the
surface of a 1.1-cm-diameter glass sphere that has been charged to
10 nC ?

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