Question

a motorcycle traveling at 18.8 m/s has 57800 j of kinetic energy.

what is the mass of the motorcycle?

(m = ?\text{ kg})

Explanation:

⚡ Using what you learned: kinetic energy and the work-energy theorem

Step 1: Identify given values and formula

$$ KE = 57800 \text{ J} $$

$$ v = 18.8 \text{ m/s} $$

$$ KE = \frac{1}{2} m v^2 $$

Step 2: Rearrange for mass

$$ m = \frac{2 \cdot KE}{v^2} $$

Step 3: Calculate the mass

$$ m = \frac{2 \cdot 57800}{(18.8)^2} $$

$$ m = \frac{115600}{353.44} \approx 327.07 \text{ kg} $$

Answer:

327.1