Intext problem - 1 — task. Science State Board, Class 9.

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Can you calculate the orbital velocity of a satellite orbiting at an altitude of 500 \(km\)?

[NOTE: Enter up to one decimal place and write in terms of \(ms^{-1}\).]

Given:

Gravitational constant, \(G\) \(=\) \(6.673 \times 10^{–11}\) \(Nm^2kg^{-2}\)

Mass of Earth, \(M\) \(=\) \(5.972 \times 10^{24}\) \(kg\)

Radius of the Earth, \(R\) \(=\) \(6371000\ m\)

Altitude of satellite, \(h\) \(=\) 500 \(km\)

On converting \(km\) to \(m\), we get \(m\).

Formula:

v = \sqrt{\frac{i i}{(i + i)}}

On substituting the given values, we get

\begin{array}{l} v = \sqrt{\frac{i i}{(i + i)}} \\ = \sqrt{\frac{i \times 10^{- 11} \times i \times 10^{24}}{(i + i)}} \end{array}

Orbital velocity of a satellite \(=\) \(ms^{-1}\)

Did you find an error?

15. Intext problem - 1