Question

G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4

Answer 1

Answer: The value of G = 4.5

Explanation:

As per given,

`G\propto (j^2)/(m)`

When we replace proportional sign with an equal to sign, we get

`G=k(j^2)/(m)`, where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

`0.05=k(0.4^2)/(1.6)\\\\ 0.05=k(0.1)\\\\ k=0.5`

Now,

`G=0.5(j^2)/(m)\\\\\Rightarrow\ G=0.5(6^2)/(4)\\\\\Rightarrow\ G=4.5`

hence, when j =6 and m=4, the value of G = 4.5