Question

the kinetic energy k of an object depends on its mass m and its velocity v. the formula for kinetic energy is k = 1/2mv². rearrange the formula to write the mass m in terms of k and v, where v ≠ 0.

Explanation:

Step1: Start with kinetic - energy formula

$K=\frac{1}{2}mv^{2}$

Step2: Multiply both sides by 2

$2K = mv^{2}$

Step3: Divide both sides by $v^{2}$

$m=\frac{2K}{v^{2}}$

Answer:

$m=\frac{2K}{v^{2}}$