Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. joey is riding his bike at a pace of 11 m/s. if his mass is 24.5 kg,…

Question

  1. joey is riding his bike at a pace of 11 m/s. if his mass is 24.5 kg, how much kinetic energy does he have?

○ 2.3 j
○ 273.9 j
○ 1506.5 j
○ 3410 j

Explanation:

Step1: Recall kinetic energy formula

The formula for kinetic energy is $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity.

Step2: Substitute given values

$m=24.9\ \text{kg}$, $v=11\ \text{m/s}$. Substitute into formula:
$KE = \frac{1}{2} \times 24.9 \times (11)^2$

Step3: Calculate step-by-step

First compute $11^2=121$. Then:
$KE = \frac{1}{2} \times 24.9 \times 121$
$KE = 12.45 \times 121$
$KE = 1506.45 \approx 1506.5\ \text{J}$

Answer:

1506.5 J