Final answer:
The speed of a satellite in orbit around a planet can be calculated using the formula √(G * M / r), where G is the gravitational constant, M is the mass of the planet, and r is the distance from the center of the planet to the satellite. For a satellite in orbit around the planet Mercury, with a mass of 3.2 * 10²³ kg and a radius of 2.43 * 10⁶ m, the speed is approximately 3.95 km/s.
Step-by-step explanation:
The speed of a satellite in orbit can be calculated using the formula: speed = √(G * M / r), where G is the gravitational constant, M is the mass of the planet, and r is the distance from the center of the planet to the satellite.
The speed of a satellite in orbit around a planet can be calculated using the formula √(G * M / r), where G is the gravitational constant, M is the mass of the planet, and r is the distance from the center of the planet to the satellite. For a satellite in orbit around the planet Mercury, with a mass of 3.2 * 10²³ kg and a radius of 2.43 * 10⁶ m, the speed is approximately 3.95 km/s.
In this case, the mass of the planet Mercury is given as 3.2 * 10²³ kg and the radius is given as 2.43 * 10⁶ m. Plugging these values into the formula, we have:
speed = √(6.67430 * 10^-11 N(m/kg)^2 * 3.2 * 10²³ kg / 2.43 * 10⁶ m)
After calculation, the speed of the satellite is approximately 3.95 km/s.