Question

Objects 1 and 2 attract each other with a gravitational force

Answer 1

Answer:

F' = 162 units

Explanation:

The gravitational force of attraction between the two objects is given by Newton's Gravitational law through the following formula:

$F = \frac{Gm_{1}m_{2}}{r^{2}}$

where,

F = gravitational force = 18 units

G = Gravitational Constant

m₁ = mass of object 1

m₂ = mass of object 2

r = distance between objects

Therefore,

$18 = \frac{Gm_{1}m_{2}}{r^{2}}------ eqn (1)$

Now, if we change the value of distance to one-third of original value, then:

r' = r/3

$F' = \frac{Gm_{1}m_{2}}{(\frac{r}{3})^{2}}\\\\F' = (9)(\frac{Gm_{1}m_{2}}{r^{2}})$

using eqn (1):

F' = 9(18 units)

F' = 162 units