Question

a ball flies through the air. right before it hits the ground, its speed is 10 meters/second and it has 500 joules of kinetic energy. the mass of the ball is kilograms. find the mass of the ball using $ke=\frac{1}{2}mv^{2}$.

Explanation:

Step1: Identify the given values

$KE = 500$ J, $v=10$ m/s

Step2: Rearrange the kinetic - energy formula for mass

The kinetic - energy formula is $KE=\frac{1}{2}mv^{2}$. Rearranging for $m$ gives $m = \frac{2KE}{v^{2}}$.

Step3: Substitute the values into the formula

$m=\frac{2\times500}{10^{2}}=\frac{1000}{100}=10$ kg

Answer:

10