The kinetic energy of an object can be computed using the following formula: K=(1)/(2)mv^2 Which of the following equations correctly gives the mass, m, in terms of the velocity,and the kinetic energy, K? A 2K=mv^2 (A) B m=(K)/(v^2) (B) C m=(2K)/(v^2) (C) (D) m=(v^2)/(2K) D E m=2Kv E

## Step 1The problem provides the formula for kinetic energy, which is . We are asked to express the mass, , in terms of the velocity, , and the kinetic energy, .## Step 2To isolate , we need to multiply both sides of the equation by 2 and then divide by . This gives us the equation .## Step 3Comparing this equation with the options given, we can see that option C matches our derived equation.