Question

The radius of the Earth’s orbit around the sun (assumed to be
circular) is 1.50∙10^{8} km, and the Earth travels around
this obit in 365 days. The mass of the Earth is
5.97∙10^{24} kg.

magnitude of the orbital velocity of the Earth:
2.98.10^{4} m/s

acceleration of the earth toward the sun: 5.91.10^{-3}
m/s^{2}

a) What is the magnitude of centripetal force acting on the Earth?

b) What is responsible for providing this centripetal force?

c) Calculate the gravitational acceleration OF the Earth (not ON the Earth). Hint: think of your answer to part (b), and set two forces equal to each other.

d) What would happen to the Earth’s motion if gravity was turned off? Answer as precisely aspossible.

Answer #1

In circular motion, centripetal force is required for any object to orbit.

Here this force is provided by gravitational force of sun. So earth has centripetal acceleration or gravitational acceleration towards sun.

1. Consider a satellite which is in orbit around the
earth. Which of the following statements is
true?
a. The satellite and the earth experience the same force of
gravitational attraction.
b. The satellite and the earth experience the same
acceleration.
c. The satellite experiences a stronger gravitational force than
the earth.
d. The gravitational force acting on the satellite (which is in
outer space) is zero.
e. Only the satellite experiences a gravitational force, and not
the earth.
2....

A GPS satellite moves around Earth in a circular orbit with
period 11 h 58 min. Determine the radius of its orbit. Hint: use
the Newton’s 2nd law of motion relating the gravitational force and
the centripetal acceleration of the satellite. Assume the following
is given: Earth’s mass MEarth = 6x10^24 kg, Earth’s radius REarth =
6.378x10^6 m, and the gravitational constant G = 6.67x10^-11
Nm2/kg2.

Consider a satellite of mass m in a circular orbit of radius r
around the Earth of mass ME and radius RE.
1.
What is the gravitational force (magnitude and direction) on
the satellite from Earth?
2.
If we define g(r) to be the force of gravity on a mass m at a
radial distance r from the center of the Earth, divided by the mass
m, then evaluate the ratio g(r)/g(RE)to see how g varies with
radial distance. If...

A satellite of mass 350 kg is in a circular orbit around the
Earth at an altitude equal to the Earth's mean radius.
(a) Find the satellite's orbital speed.
m/s
(b) What is the period of its revolution?
min
(c) Calculate the gravitational force acting on it.
N

A 345 kg satellite is orbiting on a circular orbit 8955 km above
the Earth's surface. What is the gravitational acceleration at the
location of the satellite? (The mass of the Earth is
5.97×1024 kg, and the radius of the Earth is 6370
km.)?

Given that the Sun moves in a circular orbit of radius 8.09 kpc
around the center of the Milky Way, and its orbital speed is 216
km/sec, work out how long it takes the Sun to complete one orbit of
the Galaxy. How many orbits has the Sun completed in the 4.5
billion years since it formed?
____ × 108 years
_____ orbits

Earth’s equatorial radius is about
6378 km. What is the centripetal acceleration experienced by a
person standing at the Equator due to Earth’s rotation? (Answer
using SI units)
Imagine the same person standing at
the Equator of planet X, which has the same radius and mass as the
Earth, but a shorter, 8-hour long day. What is the centripetal
acceleration experience by this person? Based on your calculations,
how does the person’s weight differ between the two locations?
The Earth...

A satellite of mass 1525 kg is in circular orbit around Earth.
The radius of the orbit of the satellite is equal to 1.5 times the
radius of Earth (RE = 6.378*106 m, ME = 5.98*1024 kg, G =
6.67*10-11 Nm2/kg2). (a) Find the orbital period of the satellite?
(b) Find the orbital (tangential) velocity of the
satellite. (c) Find the total energy of the
satellite?

1).
a). An asteroid is discovered in a nearly circular orbit around
the Sun, with an orbital radius that is 2.83 times Earth's. What is
the asteroid's orbital period ?, its "year," in terms of Earth
years?
b). An artificial satellite is in a circular orbit ?=390.0 km
above the surface of a planet of radius ?=3.65×103 km.
The period of revolution of the satellite around the planet is
?=3.15 hours. What is the average density of the planet?

A satellite is in a circular orbit around the Earth at an
altitude of 3.84 106 m.
(a) Find the period of the orbit. (Hint: Modify
Kepler's third law so it is suitable for objects orbiting the Earth
rather than the Sun. The radius of the Earth is
6.38 106 m, and the mass of the Earth is
5.98 1024 kg.)
h
(b) Find the speed of the satellite.
km/s
(c) Find the acceleration of the satellite.
m/s2 toward the center of the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 18 minutes ago

asked 23 minutes ago

asked 26 minutes ago

asked 26 minutes ago

asked 35 minutes ago

asked 35 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago