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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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