Question

Objects 1 and 2 attract each other with a gravitational force of 36.0 units. If the distance separating Objects 1 and 2 is changed to one-third the original value, then the new gravitational force will be units.

Answer 1

Answer:

324 units

Explanation:

Given that,

Objects 1 and 2 attract each other with a gravitational force of 36.0 units.

The distance separating Objects 1 and 2 is changed to one-third the original value.

Let the new force be F' and r'=r/3. so,

$F=\dfrac{kq_1q_2}{r^2}$

$F'=\dfrac{kq_1q_2}{r'^2}\\\\F'=\dfrac{kq_1q_2}{(\dfrac{r}{3})^2}\\\\=9\times \dfrac{kq_1q_2}{r^2}\\\\=9F\\\\=9\times 36\\\\=324\ \text{units}$

So, the new force become 324 units.