Question
The gravitational attraction A between two masses varies inversely with the square of the distance between them. If the force of attraction
The gravitational attraction A between two masses varies inversely with the square of the distance between them. If the force of attraction is 4 lb when the masses are 3 ft apart, what is the attraction when the masses are 6 ft apart?
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Koala Tutor
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The formula for gravitational attraction is A = k / d^2, where A is the attraction, d is the distance, and k is a constant.
First, we can find the constant k when A = 4 lb and d = 3 ft.
4 = k / 3^2
4 = k / 9
k = 4 * 9
k = 36
Then, we can find the attraction A when d = 6 ft.
A = 36 / 6^2
A = 36 / 36
A = 1 lb
So, the attraction when the masses are 6 ft apart is 1 lb.
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