Question

Two particles of mass 200geach are placed at a separation of 10 cm. assuming that only forces acting on it are due to their gravitational attraction. Find the acceleration of each when they are allowed to move

Answer 1

$$\begin{gathered} \mathrm{Gravitational}\mathrm{force}\mathrm{on}\mathrm{each}\mathrm{particle}: \\ \mathrm{F}=\frac{{\mathrm{Gm}}_1{\mathrm{m}}_2}{{\mathrm{r}}^2} \\ =\frac{\left[6.67\times {10}^{-34}\right]\left[0.2\right]\left[0.2\right]}{{\left[0.1\right]}^2} \\ =2.67\times {10}^{-33}\mathrm{N} \\ \mathrm{Acceleration}\mathrm{of}\mathrm{first}\mathrm{particle}: \\ {\mathrm{a}}_1=\frac{\mathrm{F}}{{\mathrm{m}}_1} \\ =\frac{2.67\times {10}^{-33}}{0.2} \\ =1.33\times {10}^{-32}\mathrm{m}/{\mathrm{s}}^2 \\ \mathrm{Acceleration}\mathrm{of}\mathrm{second}\mathrm{particle}: \\ {\mathrm{a}}_2=\frac{\mathrm{F}}{{\mathrm{m}}_2} \\ =\frac{2.67\times {10}^{-33}}{0.2} \\ =1.33\times {10}^{-32}\mathrm{m}/{\mathrm{s}}^2 \end{gathered}$$