Calculate the gravitational force between a 5 kg mass and a 3 kg mass separated by 2 m. Use $G=6.67\times 10^{-11},{\text{Nm}}^2/{\text{kg}}^2$.

Step-by-step solution

1. Step 1: Use Newton’s universal law of gravitation $F=\frac{G,m_1,m_2}{r^2}$.
2. Step 2: Substitute $m_1=5,\text{kg}$, $m_2=3,\text{kg}$, $r=2,\text{m}$, and $G=6.67\times 10^{-11},{\text{Nm}}^2/{\text{kg}}^2$.
3. Step 3: Compute the numerator: $G,m_1,m_2=6.67\times 10^{-11}\times 5\times 3=1.001\times 10^{-9},\text{N}\cdot {\text{m}}^2$.
4. Step 4: Compute the denominator: $r^2=4,{\text{m}}^2$.
5. Step 5: Divide to get $F=\frac{1.001\times 10^{-9}}{4}=2.5025\times 10^{-10},\text{N}\approx 2.5\times 10^{-10},\text{N}$.
6. Step 6: The final answer is $2.5\times 10^{-10},\text{N}$.

Concept tested: Newton’s universal law of gravitation

Published 16 October 2026 · How this solution was prepared and checked