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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

User Jfanals
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1 Answer

2 votes

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

User Chiune Sugihara
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