Question

calculate the kinetic energy of a 98-kg scooter moving at 18 m/s. express your answer with the appropriate units. ke = value units submit request answer

Explanation:

Step1: Recall the kinetic energy formula

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

Step2: Identify the given values

The mass \( m = 98 \, \text{kg} \) and the velocity \( v = 18 \, \text{m/s} \).

Step3: Substitute the values into the formula

First, calculate \( v^2 \): \( v^2=(18)^2 = 324 \, \text{m}^2/\text{s}^2 \).
Then, multiply by \( m \) and \( \frac{1}{2} \): \( KE=\frac{1}{2}\times98\times324 \).
Calculate \( \frac{1}{2}\times98 = 49 \).
Then, \( 49\times324 = 15876 \).

Answer:

The kinetic energy is \( 15876 \, \text{J} \) (since the unit of kinetic energy is joule, where \( 1 \, \text{J}=1 \, \text{kg}\cdot\text{m}^2/\text{s}^2 \)). So, \( KE = 15876 \) and the units are joules (or \( \text{kg}\cdot\text{m}^2/\text{s}^2 \)).