Chapter 12.7, Problem 1OE

To determine

the provided kinetic energy e of a moving body which varies directly as the square of its velocity v, use k as the constant where needed.

Answer to Problem 1OE

  $e=k\cdot v^2$

Explanation of Solution

Given information:

Kinetic energy e varies directly as the square velocity v.

Kinetic energy e varies directly as the square velocity v.

That is, $e\prec v^2$...... $\left(1\right)$

Given k is constant.

Put constant k in equation 1.

  $e=k\cdot v^2$

Thus the formula for statement is $e=k\cdot v^2$ .