Question

I need a tutor to help resolve these step by step please Question 1 to 3

Answer 1

Solution

1.

$\begin{gathered} F\propto\frac{m_1m_2}{r^2} \\ \\ F=\frac{Km_1m_2}{r^2} \end{gathered}$

2.

$\begin{gathered} F\propto rs^3 \\ \\ F=Krs^3 \\ \\ F=1344,r=12,s=2 \\ \\ 1344=k(12)(2^3) \\ \\ K=14 \\ \\ F=14rs^3 \end{gathered}$

3.

$\begin{gathered} z\propto\frac{x^2}{y} \\ \\ z=\frac{kx^2}{y} \\ \\ z=9,x=9,y=6 \\ \\ 9=\frac{k(9)^2}{6} \\ \\ 9=\frac{81k}{6} \\ \\ 6=9k \\ \\ k=\frac{2}{3} \\ \\ z=\frac{2x^2}{3y} \end{gathered}$