Write an equation that expresses the following relationship.u varies directly with the square of pIn your equation, use k as the constant of proportionality.

Question

asked Apr 15, 2023 33.9k views

1 Answer

Jc Mannem · Answer 1 · 2023-04-21T13:55:59+0000

Given

u varies directly with the square of p.

To write an equation that expresses the following relationship.

Step-by-step explanation:

It is given that,

u varies directly with the square of p.

That implies,

$u\propto p^2$

Then, for the constant of proportionality.

$\begin{gathered} u=kp^2 \\ (u)/(p^2)^{}=k \end{gathered}$

Hence, the equation is k=u/p^2.