saulalfaroschool saulalfaroschool
  • 09-04-2021
  • Mathematics
contestada

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

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 14-04-2021

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

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

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

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

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

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

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