Question

The escape speed from an object is v2 = 2GM/R, where M is the mass of the object, R is the object's starting radius, and G is the gravitational constant 6.67 × 10-11 m3 kg-1 s-2. What is the approximate escape speed, in km/s, from the Solar System starting from an orbit at 0.6 AU? In this case, the mass of the Sun, 2.2e+30 kg, can be used as the mass of the Solar system.

Answer #1

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)

An object with a mass of 500 kg is orbiting planet X with a
speed of 1540 m/s. Planet X has a mass of 1.35 x 1023 kg
and a radius of 2.58 x 106 m. Calculate the height of
the object above the surface of planet X. G = 6.67 x
10-11 Nm2/kg2.
express your answer with the appropriate units.
What is the gravitational force experienced by the object due to
planet X. G = 6.67 x 10-11
Nm2/kg2....

Assume the earth is a uniform sphere of mass M and
radius R. As strange as it may sound, if one can dig a
long tunnel from one side of the Earth straight through the center
and exit the other end, any object falling into the tunnel will
appear at the other end (i.e. the opposite side of the Earth) in
just 2530 s (42.2 min). Call that time t. Let t
be a function of G, M, and R,...

You observe a star orbiting the massive object at the galactic
center at a speed of 1300 km/s in a circular orbit with a radius of
19 light-days. Calculate the mass of the object the star is
orbiting. Enter in solar masses.
Stars in the outskirts of a globular cluster are about 43 light
years from the cluster's center, and orbit at speeds of about 9
km/s. How massive is this cluster?
(answer in solar masses)
A star in the...

(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?

The mass of the Sun M = 2.0×1030 kg, and G = 6.67×10-11 Nm2
/kg2
a). A spaceship of mass m = 7.5×104 kg is on a circular orbit of
radius r1 = 2.5×1011 m around the Sun. The captain of that
spaceship decides to increase the radius of his orbit to r2 =
4.0×1011 m. What is the minimum amount of energy he has to expand
using his engines to move to this higher orbit? [Assume that the
ship...

(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

a) Your cosmic journey brought you into the vicinity of a
neutron star. In fact, you are orbiting this neutron star at an
orbital distance of 2,184 kilometers. The neutron star has mass of
1.6 solar masses (MSun = 1.99 × 1030
kg).
What is the local acceleration due to gravity that you experience
in your spaceship? Express your answer in m/s2; use
scientific notation and round the coefficient to two decimals.
b) What is the escape velocity from Earth’s...

We know that most of the mass (>99%) of the solar
system is in the Sun. Is this consistent with the masses you
calculated in the first table, and the solar system rotation curve?
Explain your answer.
Planet
Distance from Sun (AU)
Orbital Velocity (km/s)
Mass inside orbit = v2r/887
(solar masses)
Mercury
0.4
47.4
1.013195
Venus
0.7
35.0
0.966741
Earth
1.0
29.8
1.001172
Mars
1.5
24.1
0.982204
Jupiter
5.2
13.1
1.006056
Saturn
9.6
9.7
1.018335
Uranus
19.2
6.8
1.000910...

A space probe (mass m) is designed to explore the outer edges of
the solar system. It is propelled by a solar sail, which is made of
a large circular sheet of highly reflective fabric. Assume the sun
radiated with power P.
1. How much could the propulsion be increased if the radius of
the sail were three times larger?
2. Jupiter is about five times as far from the sun as the earth.
When the probe reaches jupiter, how...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 6 minutes ago

asked 8 minutes ago

asked 8 minutes ago

asked 17 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 40 minutes ago

asked 49 minutes ago

asked 49 minutes ago

asked 52 minutes ago