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 1<br />The problem provides the formula for kinetic energy, which is \( K = \frac{1}{2}mv^2 \). We are asked to express the mass, \( m \), in terms of the velocity, \( v \), and the kinetic energy, \( K \).<br /><br />## Step 2<br />To isolate \( m \), we need to multiply both sides of the equation by 2 and then divide by \( v^2 \). This gives us the equation \( m = \frac{2K}{v^2} \).<br /><br />## Step 3<br />Comparing this equation with the options given, we can see that option C matches our derived equation.