What is the potential energy of the satellite earth system

Asked by admin @ 05/11/2021 in Physics viewed by 269 People

A satellite in earth orbit has a mass of 99 kg and is at an altitude of 2.02 106 m. (assume that u = 0 as r â â.) (a) what is the potential energy of the satelliteâearth system? j (b) what is the magnitude of the gravitational force exerted by the earth on the satellite? n (c) what force, if any, does the satellite exert on the earth? (enter the magnitude of the force, if there is no force enter 0.)

Answered by admin @ 05/11/2021

(a) What is
the potential energy: PE = -G * M * m/r

Where: M is the mass of the earth which is 5.98 * 10^24 kg.

m is the mass of the satellite.

r is the space from the center of the earth to the satellite

To conclude this distance add the radius of the earth to the
altitude. Radius of the earth is 6.38 * 10^6 meters.

r = 6.38 * 10^6 + 2.02 * 10^6 = 8.38 * 10^6

PE = 6.67 * 10^-11 * 5.98 * 10^24 * 99/8.38 * 10^6 =
4.71240095 * 10^9 J

(b) magnitude of the gravitational force exerted by the
Earth

Fg = G * M * m/r^2

Fg = 6.67 * 10^-11 * 5.98 * 10^24 * 99/(8.38 * 10^6)^2 =
562.3078873 N

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