Question

1. a soccer ball of mass 0.5 kg is kicked and moves at 8 m/s. find its kinetic energy. givens: m = ____ v = __ unknowns: what are you solving for? ____ equation to use: substitute & solve:

Explanation:

Step1: List given values

$m = 0.5\ \text{kg}$, $v = 8\ \text{m/s}$

Step2: State kinetic energy formula

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

Step3: Substitute values into formula

$$KE = \frac{1}{2} \times 0.5\ \text{kg} \times (8\ \text{m/s})^2$$

Step4: Calculate the final value

$$KE = \frac{1}{2} \times 0.5 \times 64 = 16\ \text{J}$$

Answer:

Givens:

$m = 0.5\ \text{kg}$
$v = 8\ \text{m/s}$

Unknowns:

Kinetic Energy ($KE$)

Equation to use:

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

Substitute & Solve:

$KE = \frac{1}{2} \times 0.5\ \text{kg} \times (8\ \text{m/s})^2 = 16\ \text{J}$
Final answer: $16\ \text{J}$