3. under the big top elephant, ella (2500 kg), is attracted to phant, the 3,000 kg elephant. they are…

Explanation:

Step1: Recall gravitational - force formula

The gravitational - force formula is $F = G\frac{m_1m_2}{r^2}$, where $G = 6.67\times10^{- 11}\ N\cdot m^2/kg^2$, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between them.

Step2: Identify the values of variables

Given $m_1 = 2500\ kg$, $m_2 = 3000\ kg$, and $r = 8\ m$, and $G = 6.67\times10^{-11}\ N\cdot m^2/kg^2$.

Step3: Substitute values into the formula

$F=6.67\times 10^{-11}\frac{2500\times3000}{8^2}$. First, calculate $2500\times3000 = 7500000$. Then, $8^2=64$. So, $F = 6.67\times10^{-11}\times\frac{7500000}{64}$. $\frac{7500000}{64}=117187.5$. $F = 6.67\times10^{-11}\times117187.5$. $F=6.67\times117187.5\times10^{-11}$. $6.67\times117187.5 = 782640.625$. $F = 7.83\times10^{-6}\ N$ (rounded to three significant figures).

Answer:

$7.83\times10^{-6}\ N$