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)

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

step-by-step explanation: