A $2150 \mathrm{~kg}$ satellite used in a cellular telephone network is in a circular orbit at a height of $780 \mathrm{~km}$ above the surface of the earth What is the gravitational force on the satellite? What fraction of this force of the satellite's weight is at the surface of the earth?

Satellite A has a mass of $1000 \mathrm{~kg}$ and satellite $B$ has a mass of $2000 \mathrm{~kg}$. (a) When each satellite orbits at one Earth radius above the surface of the Earth, will the period of satellite B be longer, shorter, or the same as the period of satellite $\mathrm{A}$? (b) Estimate the orbital periods of satellites $\mathrm{A}$ and $\mathrm{B}$.

A 200.-kg satellite is in circular orbit around the Earth and moving at a speed of $5.00 \mathrm{~km} / \mathrm{s}$. How much work must be done to move the satellite into another circular orbit that is twice as high above the surface of the Earth?

What is the free-fall acceleration at the surface of (a) Mars and (b) Jupiter?

What is the free-fall acceleration on the surface of Jupiter?

You tie a cord to a pail of water and swing the pail in a vertical circle of radius 0.600 m. What minimum speed must you give the pail at the highest point of the circle to avoid spilling water?

What is the magnitude of the gravitational force acting on the earth due to the sun?

Is the earth's gravitational force on the sun larger than, smaller than, or equal to the sun's gravitational force on the earth? Explain.

As a satellite orbits Earth, the gravitational force is constantly pulling the satellite inward. What counters this force?

A satellite used in a cellular telephone network has a mass of $2250\, \mathrm{kg}$ and is in a circular orbit at a height of $660\, \mathrm{km}$ above the surface of the Earth. What is the gravitational force on the satellite?

A space station astronaut is working outside the station as it orbits the earth. If he drops a hammer, will it fall to earth? Explain why or why not.

The free-fall acceleration at the surface of planet 1 is $20 \mathrm { m } / \mathrm { s } ^ { 2 }$. The radius and the mass of planet 2 are twice those of planet 1. What is the free-fall acceleration on planet 2?

The Cosmo Clock $21$ Ferris wheel in Yokohama, Japan, has a diameter of $100$ m. Its name comes from its $60$ arms, each of which can function as a second hand (so that it makes one revolu- tion every $60.0$ s).
(b) A passenger weighs $882 \mathrm{~N}$ at the weight-guessing booth on the ground. What is his apparent weight at the highest and at the lowest point on the Ferris wheel?

A satellite of the Earth has a mass of 100 kg and is at an altitude of $2.00 \times 106$ m. (a) What is the potential energy of the satellite–Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force does the satellite exert on the Earth?