## Algebra 1: Common Core (15th Edition)

The first step to solving this problem is to multiply both sides by 2, giving you the new equation: 2E=m$v^{2}$ Next, divide both sides by $v^{2}$ to get m by itself, giving you the new equation: m=$\frac{2E}{v^{2}}$ After this step, plug in the values for E and v given by the problem: m=$\frac{2(2500)}{10^{2}}$ Lastly, multiply the numerator and then divide by the denominator to give you the answer: m=50 kg