Question

1. a car is moving at 15 m/s and has a kinetic energy of 330,750 j. what is the mass of the car? givens: $e_k = $ ____ $v = $ __ unknowns: what are you solving for? ____ equation to use: substitute & solve:

Explanation:

Step1: List given values

$E_k = 330750\ \text{J}$, $v = 15\ \text{m/s}$

Step2: Recall kinetic energy formula

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

Step3: Rearrange for mass $m$

$$m = \frac{2E_k}{v^2}$$

Step4: Substitute values and calculate

$$m = \frac{2 \times 330750}{15^2} = \frac{661500}{225} = 2940$$

Answer:

The mass of the car is $\boldsymbol{2940\ \text{kg}}$

Filled-in sections from the problem:

Givens:
$E_k = 330750\ \text{J}$
$v = 15\ \text{m/s}$
Unknowns:
What are you solving for? Mass ($m$)
Equation to use: $E_k = \frac{1}{2}mv^2$
Substitute & Solve: $m = \frac{2 \times 330750}{15^2} = 2940\ \text{kg}$