Chapter 5, Problem 87GP

To determine

To find : The value of $G$

Answer to Problem 87GP

  $4\times {10}^{-4}\frac{{\text{N-m}}^{\text{2}}}{{\text{kg}}^{\text{2}}}$

Explanation of Solution

Given:

  $F=1N$

Let $M=50$ kg

  $r=1$ m

Formula Used :

The gravitational force is given as

  $F=\frac{GMm}{r^2}$

Or $G=\frac{F{r}^2}{m^2}$

Calculation :

Substituting the values

  $G=\frac{1\times 1}{50\times 50}=4\times {10}^{-4}\frac{{\text{N-m}}^{\text{2}}}{{\text{kg}}^{\text{2}}}$

Conclusion :

Therefore the value of $G=4\times {10}^{-4}\frac{{\text{N-m}}^{\text{2}}}{{\text{kg}}^{\text{2}}}$