NEET-XII-Physics
04: The Forces
- #1The gravitational force acting on a particle of 1 g due to a similar particle is equal to 6.67 × 10-17 N. Calculate the separation between the particles.Ans : Mass of the particle, m = 1 gm`` =\frac{1}{1000}\,\mathrm{\,kg \,}``
Let the distance between the two particles be r.
Gravitational force between the particle, F = 6.67 × 10-17 N
Also, `` \,\mathrm{\,F \,}=\frac{G{m}_{1}{m}_{2}}{{r}^{2}}``
Substituting the respective values in the above formula, we get:
`` 6.67\times {10}^{-17}=\frac{6.67\times {10}^{-11}\times \left(1/1000\right)\times \left(1/1000\right)}{{r}^{2}}``
`` \Rightarrow {r}^{2}=\frac{6.67\times {10}^{-6}\times {10}^{-11}}{6.67\times {10}^{-17}}``
`` =\frac{{10}^{-17}}{{10}^{-17}}=1``
`` \Rightarrow r=\sqrt{1}=1\,\mathrm{\,m \,}``
∴ The separation between the particles is 1 m.