Question

F varies directly with m and inversely with the square of d . If F = 60 when m = 1470 and d = 7 , find F when m = 2560 and d = 8

Answer 1

Answer:

80 is the answer

Step-by-step explanation:

The direct variation is given by:

$F=k\,\frac{m}{d^2}$

So given the values for each variable, we can find the constant of proportionality k:

$F=k\,\frac{m}{d^2} \\60=k\,\frac{1470}{7^2} \\k = \frac{60*49}{1470} \\k=2$

Then we can now find what the value is when m = 2560 and d = 8 by using the proportionality equation with k = 2:

$F=2\,\frac{m}{d^2} \\F=2\,\frac{2560}{8^2}\\F=80$