Question

two objects, one with a mass of 100kg and the other with a mass of 1500kg are sitting with their centers 2m apart. what is their gravitational force on each other?

Explanation:

Step1: Identify the formula

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

Step2: Substitute the given values

$m_1 = 100\ kg$, $m_2=1500\ kg$, $r = 2\ m$, and $G = 6.67\times10^{-11}\ Nm^2/kg^2$.
$F=6.67\times 10^{-11}\frac{100\times1500}{2^2}$

Step3: Calculate the result

First, calculate $100\times1500 = 150000$. Then, $2^2=4$.
$F = 6.67\times10^{-11}\times\frac{150000}{4}=6.67\times10^{-11}\times37500$.
$F=2.50125\times 10^{-6}\ N$

Answer:

$2.50125\times 10^{-6}\ N$