At 2500km, 60.0kg moving object is going around the earth. If given the earth\'s

Question

At 2500km, 60.0kg moving object is going around the earth. If given the earth's mass is 5.98 x 1024 kg and its radius is 6.38 x 106 m. 1/ what is the speed of the object? 2/ if the object was locating at a lower distance of 150km, would its speed decrease or increase? why? At 2500km, 60.0kg moving object is going around the earth. If given the earth's mass is 5.98 x 1024 kg and its radius is 6.38 x 106 m. 1/ what is the speed of the object? 2/ if the object was locating at a lower distance of 150km, would its speed decrease or increase? why?

Explanation / Answer

Velocity of object = G(M+m)/r    G = gravitational constant= 6.7 x 10-11Nm2/ Kg2 M = mass of earth m= mass of object = 60 Kg r= radius or orbit = 6.4 x 106 m + 2500000= 6.4 X 106 + 2.5 X 106 m v = 6.7 x 10-11(6 x 1024 + 60)/8.9 x 106 V= 8.67 x 103m/s approx ( i have ignored the mass of object as it wan negligebely small as compare to mass of earth) B) if the object is located at a distance of 150 Km, lower, the orbital radius will decrease, as velocity is inversely proportional to orbital radius, velocity of object will increase/. V= 8.67 x 103m/s approx ( i have ignored the mass of object as it wan negligebely small as compare to mass of earth) B) if the object is located at a distance of 150 Km, lower, the orbital radius will decrease, as velocity is inversely proportional to orbital radius, velocity of object will increase/.

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