Question

Venus orbits the sun in one complete revolution every 225 days. Assuming that Venus orbits the sun in a circular orbit, use the appropriate in your text to solve the following problems.

A. Calculate the gravitational force that the sun exerts on Venus. how does this force compare to the gravitational force Venus exerts on the Sun?

B. Calculate the period (in seconds) for one complete revolution of Venus around the Sun.

C. Determine the magnitude and direction of the velocity (in m/s) and acceleration (in m/s^2) of Venus as it travels around the sun. include a sketch of the sun and Venus (and its orbit) along with vectors to clearly show the directions of the velocity and acceleration of Venus at one position in its orbit around the sun.

D. Venus rotates about its axis once every 243 days (yes, it takes longer to rotate than to revolve around the sun) clockwise as viewed from its north pole. Determine Venus' angular velocity (in rad/second) dong forget direction.

E. Determine the linear speed of Venus as a result of its rotation at the equator (in m/s).

Answer #1

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 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...

18.Which of the following is a Stable equilibrium? a.any form of
equilibrium, because all equilibrium conditions are stable b.an
equilibrium state where any small rotation results in a torque that
acts produce rotation back in the opposite direction c. an
equilibrium state where nothing is moving d.an equilibrium state
where no torque is involved e. an equilibrium state where there is
no net torque or net force 19.Which of the following is true about
how the planets revolve around the...

1. A satellite orbits a planet. The distance between the
satellite and the center of the planet is r. The time it takes the
satellite to complete one orbit is T.
a. Find the speed of the satellite in its orbit, in terms of the
quantities given above. Do not use the law of gravity in part
a.!
b. Find the acceleration of the satellite in its orbit, in terms
of the quantities given above. Do not use the law...

The International
Space Station (ISS) orbits 400 km above the surface of the Earth.
The mass of the ISS is 419,455 kg (source: NASA website), the mass
of the Earth is 5.98×1024 kg, and the radius of
the Earth is 6.37×106 m.
Calculate the gravitational force exerted by the Earth on the
ISS.
Is the gravitational force exerted by the ISS on the Earth
greater, the same, or less than your answer in part (a)? Explain
why.
Calculate the speed...

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...

A satellite of mass 1000 kg orbits the Planet X at a distance of
6000 km above its surface. The satellite circles Planet X
once every 7 hours. Determine the following quantities:
The orbital velocity of the satellite in m/s about planet
X;
The acceleration of the satellite;
The Force that Planet X applies on the satellite; and
the Mass of Planet X.

Question: A satellite of 1000 kg orbits the planet X at a
distance of 6000 km above its surface. The satellite circles planet
X once every 7 hours. Determine the following:
a.The orbital velocity of the satellite in m/s about planet
X;
b. The acceleration of the satellite;
c. the force that planet X applies on satellite
d. Mass of planet X

Scientists want to place a 3400 kg satellite in orbit around
Mars. They plan to have the satellite orbit a distance equal to 1.5
times the radius of Mars above the surface of the planet. Here is
some information that will help solve this problem:
mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m
G = 6.67428 x 10-11 N-m2/kg2
1)What is the force of attraction between Mars and the
satellite?
2)What speed should the satellite have...

An eagle is circling looking for prey, it completes a circle of
radius 10 m every 5 s. Birds can use their skills to make air exert
a force on them in any direction.
a) Draw a diagrams of the eagle’s motion, indicate the velocity
vector and the coordinate
system.
b) What are the linear and angular speed of the eagle?
c) If the eagle increases its speed over thirty seconds, to
complete one circle (r=10m) every 3s,
calculate the...

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