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If the force of attraction between two bodies is inversely proportional to the square of the distance between them Set up the proportionality relationship(b)If two ...

Question

If the force of attraction between two bodies is inversely proportional to the square of the distance between them Set up the proportionality relationship(b)If two bodies Scm apait have an attractive force of 16.8N (Newtons). how far apart are they. if the force between them is 8.SN? (Round your final answer to 2dp.)

If the force of attraction between two bodies is inversely proportional to the square of the distance between them Set up the proportionality relationship (b) If two bodies Scm apait have an attractive force of 16.8N (Newtons). how far apart are they. if the force between them is 8.SN? (Round your final answer to 2dp.)



Answers

Write an equation that relates the quantities. $$ \begin{array}{l}{\text {
The force } F \text { (in newtons) of }} \\ {\text { attraction between two bodies varies jointly with their masses }} \\ {m \text { and } M \text { (in kilograms) and inversely with the square of }} \\ {\text { the distance } d \text { (in meters) between them. The constant of }} \\ {\text { proportionality is } G=6.67 \times 10^{-11} \text { . }}\end{array} $$

So the force of attraction between two bodies F is going to very jointly with their masses lower case them and capital in and inversely with the square of the distance between them. And then that's times are constant of proportionality, so plugging in the constant we were given F is equal to 6.67 times 10 to the negative 11 times organism Times Capital M over D squared.

In this problem, we want to make a formula that represents the function of gravitational force f between two bodies, where f is inversely proportional to the square of the distance deep between us. So I have, like some celestial body here, another celestial body here and then the distance do you separating them. So then our force will be, since it's inversely proportional to the distance squared will have won over D squared and we'll have some constant in the top, okay?

We need to write the equation given that the force Between two objects varies jointly with their masses and inversely with the square of the distance between them. They give us our constant of proportionality and this time they're calling A G is equal to 6.67 times 10 to the negative 11th power. So we have varies jointly so that F is equal to our constant for proportionality. G times lower case M times uppercase M. Divided by our distance squared. Because that says inversely so D squared. So that's the equation that represents the given information.

In Newton Universal law for gravitation, the force between the two objects or for having masses and one in him, too. Separated by a distance. Distance d Their force is proportional to their one or ah distance square.


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