suppose the orbit of a satellite is exactly 35780 km above the earth's surface. Determine the tangential velocity of the satellite.
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The tangential velocity of the satellite will be 3.07 km/s
Explanation :
The tangential velocity of a satellite is given by the relation;
v = √(GM/r)
G = gravitational constant = 6.67 x 10⁻¹¹
M = mass of earth = 5.972 x 10²⁴ kg
r = radius of orbit = height + radius of earth
=> r = 35780 + 6371 = 42151 km = 42151 x 10³ m
hence,
v = √(6.67 x 10⁻¹¹ x 5.972 x 10²⁴ /42151 x 10³)
= 3.07 x 10³ m/s
= 3.07 km/s
Hence the tangential velocity of the satellite will be 3.07 km/s
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