Find the speed of a satellite in a circular orbit around the earth with a radius 2.69 times the mean radius of the earth; Radius Earth= 6.37E+3km; Mass Earth= 5.98E+24kg.

You plug it into the formula

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To find the speed of a satellite in a circular orbit around Earth, we can use the following equation:

v = sqrt(GM/r),

where v is the speed of the satellite, G is the gravitational constant (6.67430 x 10^-11 m^3/kg/s^2), M is the mass of the Earth, and r is the radius of the satellite's orbit.

First, let's convert the given radius of the satellite's orbit to meters. We have:

Radius satellite = 2.69 * Radius Earth = 2.69 * 6.37E+3 km = 1.71653 x 10^4 km.

To convert km to meters, we multiply by 1000:

Radius satellite = 1.71653 x 10^4 km * 1000 m/km = 1.71653 x 10^7 m.

Next, we can substitute the values into the equation:

v = sqrt(GM/r) = sqrt((6.67430 x 10^-11 m^3/kg/s^2) * (5.98E+24 kg) / (1.71653 x 10^7 m)).

Now we can solve this equation to find the speed of the satellite.