Question:
A satellite of mass 500 kg is in an orbit around the earth at a distance of \( 6.67 \times 10^6 \, m \) from the center of the Earth. The speed of the satellite is:
A satellite of mass 500 kg is in an orbit around the earth at a distance of \( 6.67 \times 10^6 \, m \) from the center of the Earth. The speed of the satellite is:
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The speed of a satellite in orbit around the Earth can be calculated using the formula \( v = \sqrt{\frac{GM}{r}} \), where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, and \( r \) is the distance from the center of the Earth.
Updated On: Mar 18, 2026
- 17.75 km/s
- 27.27 km/s
- 7.75 km/s
- 30.25 km/s
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The Correct Option is C
Solution and Explanation
The speed of the satellite is given by the formula:
\[
v = \sqrt{\frac{GM}{r}}
\]
Substituting the given values:
\[
v = \sqrt{\frac{(6.67 \times 10^{-11}) \cdot (6 \times 10^{24})}{6.67 \times 10^6}} = 7.75 \, \text{km/s}
\]
Hence, the speed of the satellite is \( 7.75 \, \text{km/s} \).
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