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A satellite is to revolve round the eart...

A satellite is to revolve round the earth in as circle of radius 8000 km. With what speed should this satellite be projected into orbit? What will be the time period?
Take g at the surface `=9.8ms^-2` and radius of the earth =6400 km.

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AI Generated Solution

To solve the problem of determining the speed at which a satellite should be projected into orbit and its time period, we can follow these steps: ### Step 1: Understand the parameters given - Radius of the Earth, \( R = 6400 \, \text{km} = 6400 \times 10^3 \, \text{m} \) - Radius of the satellite's orbit, \( r = 8000 \, \text{km} = 8000 \times 10^3 \, \text{m} \) - Acceleration due to gravity at the surface, \( g = 9.8 \, \text{m/s}^2 \) ### Step 2: Use the formula for orbital speed ...
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