## Related questions with answers

The fact that the acceleration of free fall is the same for all masses is explained by Newton's (a) first law. (c) third law. (b) second law. (d) law of action-reaction.

Solution

Verified$\textbf{Newton's second law}$ tells us that force is a product of mass and acceleration. Newton also said ($\textbf{Newton's law of universal gravitation}$) that gravitational force is proportional to the product of masses of objects and its inversely proportional to the distance between them. If we now equalize those two forces we get:

$\begin{align*} F&=F_g \\ ma&=G\frac{mm_E}{d^2} \tag{We multiply with $\frac{1}{m}$} \\ a&=G\frac{m_E}{d^2} \\ \end{align*}$

Where '$m_E$' is mass of the Earth, '$m$' is mass of an object, '$a$' is acceleration of an object, '$G$' is gravitational constant and '$d$' is a distance between the Earth and an object.

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