Question

1. a scientist measures the kinetic energy of different objects moving at different speeds. the data table below shows the relationship between the objects speed and their kinetic energy.

predict the kinetic energy of an object with a mass of 4 kg moving at a speed of 5 m/s. explain how you arrived at your prediction.

Explanation:

Step1: Identify kinetic energy formula

From the table, for object A: $\frac{1}{2} \times 2 \times 4^2 = 16$ J, which matches. So formula is $KE = \frac{1}{2}mv^2$.

Step2: Plug in values

Mass $m=4$ kg, speed $v=5$ m/s: $KE = \frac{1}{2} \times 4 \times 5^2$.

Step3: Calculate result

$\frac{1}{2} \times 4 = 2$, $5^2 = 25$, $2 \times 25 = 50$.

Answer:

50 J