The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. The force is 0.052 Newtons when the distance between the objects is 1.6 metres. Work out d (rounded to 2 DP) when F = 0.74 Newtons.

Step-by-step explanation:

Given

Force = 0.052 N when Distance = 1.6 m

Required

Find Force; when distance = 0.74 N

The question says force is inversely proportional to square of distance;

Let F represent Force and D represent Distance;

Mathematically;

Convert proportion to equation

Where k is the proportionality constant; This means that k is always constant

Make k the subject of formula

When F = 0.052 and D = 1.6; the value of k is as follows

When F = 0.74;

Recall that k is always constant; so

To solve for D, we'll make use of

Substitute and F = 0.74;

Multiply both sides by D²

Divide both sides by 0.74

Take square roots of both sides

(Approximated)

d (5 x (-20)) * (100 x (0.7))

step-by-step explanation:

5÷1/100 * -.7 *-20

copy dot flip

5*100 * -.7 *-20

rearrange

5*-20   * 100 *-.7

-100   *-70

7000