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Chapter 5: Q46. (page 134)

Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 4800 km.

Short Answer

Expert verified

The speed of a satellite is 5.97脳103m/s.

Step by step solution

01

Step 1. Given Data

The height is h=4800km.

02

Step 2. Understanding the speed of the satellite

In this problem, utilize the relation of the orbital speed in terms of mass of the certain body and its distance from the satellite to the centre for calculating the speed of a satellite.

03

Step 3. Estimating the speed of the satellite

The relation of orbital speedis given by,

v=GmErE+h

Here, G is the gravitational constant, rEis the radius of the Earth and mEis the mass of the Earth.

On plugging the values in the above relation.

v=6.67脳10-11N路m2/kg25.98脳1024kg6.38脳106m+4800km脳1000m1kmv=5.97脳103m/s

Thus, v=5.97脳103m/sis the required speed.

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Most popular questions from this chapter

Would it require less speed to launch a satellite (a) toward the east or (b) toward the west? Consider the Earth鈥檚 rotation direction and explain your choice.

A hypothetical planet has a mass 2.80 times that of Earth, but has the same radius. What is g near its surface?

A child whirls a ball in a vertical circle. Assuming the speed of the ball is constant (an approximation), when would the tension in the cord connected to the ball be greatest?

(a) At the top of the circle.

(b) At the bottom of the circle.

(c) A little after the bottom of the circle when the ball is climbing.

(d) A little before the bottom of the circle when the ball is descending quickly.

(e) Nowhere; the cord is stretched the same amount at all points.

A 12.0-kg monkey hangs from a cord suspended from the ceiling of an elevator. The cord can withstand a tension of 185 N and breaks as the elevator accelerates. What was the elevator鈥檚 minimum acceleration (magnitude and direction)?

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