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How is the acceleration due to gravity experienced by a satellite affected if you double the mass of the satellite?

Posted on September 4, 2022 by Author

How is the acceleration due to gravity experienced by a satellite affected if you double the mass of the satellite?

The acceleration of an orbiting satellite is equal to the acceleration of gravity at that particular location. If the mass of the Earth were doubled (without an alteration in its radius), then the acceleration of gravity on its surface would be approximately 20 m/s2.

Is gravitational acceleration constant?

Since g is calculated using only constants, g is a constant. where Re is radius of the earth. As earth is not a perfect sphere, value of gravity g is not a constant at all the locations on the surface of the earth. Therefore, for practical purposes we take acceleration due to gravity as a constant.

Why does the force of gravity change the speed of a satellite in an elliptical orbit?

Why does the force of gravity change the speed of a satellite in an elliptical orbit? Gravity slows the satellite as it moves away and speeds it up on its return.

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Does the speed of a satellite around the Earth depend on its mass?

(c) Yes, the speed of a satellite does depend on the mass of the Earth. The total amount of (net) work done by gravity as a satellite makes a complete orbit is zero. The gravitational force has a component in the direction of the satellite’s motion as the satellite moves toward the Sun (or Earth, or whatever).

Does the speed of a satellite remains constant in an orbit?

Energy Analysis of Circular Orbits When in circular motion, a satellite remains the same distance above the surface of the earth; that is, its radius of orbit is fixed. Furthermore, its speed remains constant.

How is gravitational acceleration calculated?

Formula for Acceleration Due to Gravity These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance.

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What is the acceleration of free fall class 9?

9.8 m s−2
Acceleration of free fall is 9.8 m s−2, which is constant for all objects (irrespective of their masses).

When a satellite travels at constant speed its shape is?

A satellite in orbit around Earth traces an oval-shaped path called an ellipse. An ellipse is the closed path taken by a point that moves in such a way that the sum of its distances from two fixed points is constant.

What is the speed of a geostationary satellite?

A geostationary satellite orbits the earth with a velocity of 3.07km/s. So, the satellite orbits the earth with a constant speed of 3.07km/s because the magnitude of its speed is constant. However, its direction is constantly changing, as seen in the diagram below.

How does mass affect the speed of a satellite in orbit?

The period, speed and acceleration of a satellite are only dependent upon the radius of orbit and the mass of the central body that the satellite is orbiting. Just as in the case of the motion of projectiles on earth, the mass of the projectile has no effect upon the acceleration towards the earth and the speed at any instant.

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What is the formula for calculating the velocity of a satellite?

v2 = (G • MCentral) / R Taking the square root of each side, leaves the following equation for the velocity of a satellite moving about a central body in circular motion where G is 6.673 x 10 -11 N•m 2 /kg 2, Mcentral is the mass of the central body about which the satellite orbits, and R is the radius of orbit for the satellite.

What is the critical velocity of a satellite orbiting around the Earth?

The critical velocity of a satellite orbiting around the earth is given by. The horizontal velocity given to satellite is 7 km/s which is greater than the critical velocity 5.582 km/s and less than the escape velocity (11.2 km/s). Hence the satellite will revolve around the earth in an elliptical orbit.

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