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.

(a)What is the magnitude of the orbital velocity of the Earth, in m/s?

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

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

(d) Repeat parts (a)-(b) and (c) of the previous problem for the motion of the planet Mercury (orbital radius = 5.79∙10^7 km, orbital period = 88.0 days, mass =3.30∙10^23 kg).

Answer #1

The radius of the Earth’s orbit around the sun (assumed to be
circular) is 1.50∙108 km, and the Earth travels around
this obit in 365 days. The mass of the Earth is
5.97∙1024 kg.
magnitude of the orbital velocity of the Earth:
2.98.104 m/s
acceleration of the earth toward the sun: 5.91.10-3
m/s2
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 radius of the earth's orbit around the sun (assumed to be
circular) is 1.50×108km, and the earth travels around this orbit in
365 days.
1- What is the magnitude of the orbital velocity of the earth in
m/s?
2- What is the radial acceleration of the earth toward the
sun?
3- What is the magnitude of the orbital velocity of the planet
Mercury (orbit radius =5.79×107km, orbital period = 88.0 days)?
4- What is the radial acceleration of the...

Earth travels around the Sun at a speed of 29.8 km/s. The radius
of Planet X’s orbit is 3 times that of Earth’s orbit. What is the
speed of Planet X?

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 planet requires 230 (Earth) days to complete its circular
orbit around its sun, which has a mass of 2.4 x 1030 kg.
What are the planet's (a) orbital radius and
(b) orbital speed?

Mercury has a radius of 2440 km. A satellite is in circular orbit
around Mercury. It travels at a distance of 124 km above the
surface and its period of rotation is 1 hour 31.5 minutes.
a) Estimate the Mass of Mercury. State which formula(s) you
applied and why.
b) Estimate Mercury's mean density. You can assume a spherical
planet.
c) Compare your answer to the mean density of Earth. Why is it
larger/smaller?

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...

the radius of venus's orbit around the sun is 1.08x10^8 km. If
earths orbital radius is 1.5x10^8 km then what is earth's Period in
Venus years?

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...

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.)?

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