Question

ordering question
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the answers below are distances an object can be from earth. list the distances from where the gravitational field would be the strongest (at top) to where it would be the weakest (at bottom).
instructions
100 meters
10 meters
1,000 meters
10,000 meters
100,000 meters

Explanation:

Step1: Recall the formula for gravitational field

The gravitational field \(g=\frac{GM}{r^{2}}\), where \(G\) is the gravitational constant, \(M\) is the mass of the Earth, and \(r\) is the distance from the center of the Earth. As \(r\) increases, \(g\) decreases.

Step2: Compare the given distances

We have distances \(r_1 = 10\space m\), \(r_2=100\space m\), \(r_3 = 1000\space m\), \(r_4=10000\space m\), \(r_5 = 100000\space m\).
Since \(g\propto\frac{1}{r^{2}}\), when \(r\) is smaller, \(g\) is larger.

Answer:

10 meters, 100 meters, 1000 meters, 10000 meters, 100000 meters