Question

The force, F (Newtons), between two objects is inversely proportional to the square of the distance,

d (metres), between them. The force is 0.005 Newtons when the distance between the objects is 2 metres.

Work out d (rounded to 2 DP) when F=0.048 Newtons.

Answer 1

Answer:

0.65 m to 2 D.P.s

Step-by-step explanation:

F = k/d^2

0.005 = k/2^2

k = 0.005 * 4

k = 0.02.

So F = 0.02/d^2.

When F = 0.048:

0.048 = 0.02/d^2

d^2 = 0.02/0.048

d^2 = 0.41666...

d = √0.41666...

= 0.645497.