What is the magnitude (in N) of the force of gravity between Earth and Uranus (t

Question

What is the magnitude (in N) of the force of gravity between Earth and Uranus (take mass of Earth ME = 6.00 1024 kg; mass of Uranus MU = 8.68 1025 kg; and the distance between their centres REU = 2.58 109 m)?

1. 6.25/12.5 points 1 Previous Answers ZinPhysL53 3.P004. My NotesAsk Your Teacher (a) what is the magnitude (in N) of the force of gravity between Earth and Uranus (take mass of Earth ME = 6.00 x 1024 kg; mass of Uranus Mu = 8.68 x 1025 kg; and the distance between their Centres Reu = 2.58 x 10" m)? 5 22067495943N At what point (in km from Earth) between Earth and Uranus is the net force of gravity on a body by both Earth and Uranus exactly zero? (b) X km from Earth Enter a number Submit Answer Save Progress Practice Another Version

Explanation / Answer

Since part A is answered correctly,I am answering part b

b)Mass of Earth=6*1024 kg

Mass of Uranus = 8.68*1025 kg

Distance between them = 2.58*109 m

Let the point be at a distnace x from Earth

G*6*1024/x2 = G*8.68*1025/(2.58*109 - x)2

6/x2 = 86.8/(2.58*109-x)2

2.58*109/x - 1 = sqrt(86.8/6)=3.8

x = 0.5375*109 m = 0.5375*106 km

Answer is 0.5375*106 km

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