# Change of Subject formula and Equation of motion

The magnitude (size) of the force, F, between two masses a distance r

apart is given by the equation F equals (G times m subscript 1 times m subscript 2) over (r squared)

Where G is a constant. Rearrange this equation to make G the subject.

A ball is thrown vertically upwards into the air with a speed of8.5 m s-1.Assuming that all of the ball's initial kinetic energy is converted into gravitational potential energy, find the amount by which the height of the ball increases (before it starts to fall again).You should assume g = 9.8 m s-2 and give your answer to an appropriate number of significant figures and in the correct SI units.

Increase in height =

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#### Solution Preview

Hi dear, this is a question of change of subject of formula; I think to explain a bit to you what is required here before progressing to do so. The present subject of formula in your equation is F (that is the letter on one side of the "=" sign, all the other letters, G, m1, m2, and r, are on the other side of the equation.

Now the question requests us to make G subject of the formula, which means to put G on one side of the "=" sign, and every other letter on the opposite side. Mathematically, it helps us to know the value of G in terms of the other letters.

In essence, we need to move every other letter, except G from the right hand ...

#### Solution Summary

There are 2 solutions here; the first is a step by step illustration on how to change a subject of formula, illustrated with Newton's law of universal gravitation. The second is an illustration of how to solve gravity-related problems using an equation of motion.