Answer :
The velocity (speed) of the satellite is approximately 2,858.2 m/s.
To find the velocity of the satellite, we can use the formula for the centripetal force required to keep an object in circular motion:
F = m×v² / r
where F is the centripetal force, m is the mass of the satellite, v is its velocity, and r is the radius of the circular orbit.
We know that the force keeping the satellite in orbit is 46.5 N, and the radius of the orbit is 35,768 km (which is 35,768,000 meters). We can convert the radius to meters and substitute the values into the formula:
46.5 N = (202.6 kg) × v² / (35,768,000 m)
Solving for v, we get:
v² = (46.5 N × 35,768,000 m) / 202.6 kg
v² = 8,183,428 m²/s²
v = √(8,183,428 m²/s²)
v = 2,858.2 m/s
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