Two friends are having a conversation. Anna says a satellite in orbit is in freefall because the satellite keeps falling toward Earth. Tom says a satellite in orbit is not in freefall because the acceleration due to gravity is not 9.80 m/s2. Who do you agree with and why?

Short Answer

Expert verified

Anna is correct; the satellite is in free fall, and the centripetal force balances its gravitational force.

Step by step solution

01

Definition of Satellite

A satellite is an item that is placed into orbit on purpose.

02

Determining the right person

Anna is correct; the satellite is in free fall, and the centripetal force balances its gravitational force.

Because of the principle of laughing a satellite, when a body is projected from the top of the tower with some horizontal speed, the body will describe a parabolic path under the effect of gravity and hit the surface of the earth. If we go on increasing the initial horizontal speed of projection of the body, its range will also increase, and finally, a stage comes when the body will not hit the earth. However, remain in a state of free fall under gravity at all times. Then body describes a circular path and becomes a satellite of the earth. At this stage, the gravitational force of the body will be balanced by centripetal force.

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Most popular questions from this chapter

If centripetal force is directed toward the centre, why do you feel that you are ‘thrown’ away from the centre as a car goes around a curve? Explain.

(a) What is the acceleration due to gravity on the surface of the Moon?

(b) On the surface of Mars? The mass of Mars is \({\bf{6}}.{\bf{418}} \times {\bf{1}}{{\bf{0}}^{{\bf{23}}}}{\bf{kg}}\) and its radius is\({\bf{3}}.{\bf{38}} \times {\bf{1}}{{\bf{0}}^{\bf{6}}}{\bf{m}}\).

A mother pushes her child on a swing so that his speed is9.00m/s at the lowest point of this path. The swing is suspended 2.00 mabove the child’s center of mass.

(a) What is the magnitude of the centripetal acceleration of the child at the low point?

(b) What is the magnitude of the force the child exerts on the seat if his mass is 18.0 kg?

(c) What is unreasonable about these results?

(d) Which premises are unreasonable or inconsistent?

Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0×1011solar masses. A star orbiting on the galaxy’s periphery is about 6.0×104light-years from its center.

(a) What should the orbital period of that star be?

(b) If its period is 6.0×107instead, what is the mass of the galaxy? Such calculations are used to imply the existence of “dark matter” in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.

(a) What is the period of rotation of Earth in seconds?

(b) What is the angular velocity of Earth?

(c) Given that Earth has a radius of6.4×106mat its equator, what is the linear velocity at Earth’s surface?

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