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

324 units

Step-by-step 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=(kq_1q_2)/(r^2)`

`F'=(kq_1q_2)/(r'^2)\\\\F'=(kq_1q_2)/(((r)/(3))^2)\\\\=9* (kq_1q_2)/(r^2)\\\\=9F\\\\=9* 36\\\\=324\ \text{units}`

So, the new force become 324 units.