Answer:
36 ergs
Step-by-step explanation:
Joint variation is:
If z varies jointly to x and y, then we have the expression: z = kxy, where k is a constant.
In this case, z is kinetic energy (KE), x is mass (m), and y is the square of the velocity ([tex]v^2[/tex]). So:
KE = [tex]kmv^2[/tex]
We have some values we can plug in to solve for k:
54 = k * 12 * [tex]3^2[/tex]
k = 1/2
Now, we have:
[tex]KE=\frac{1}{2} mv^2[/tex]
To find the kinetic energy for m = 2 and v = 6, we have:
KE = [tex]\frac{1}{2} *2*6^2=36[/tex]
Thus, the kinetic energy is 36 ergs.
Hope this helps!
