Question

james (50 kg) runs at a velocity of 8.5 m/s. if james is also carrying a 5 - kg backpack, what would be his kinetic energy?

Explanation:

Step1: Calculate the total mass

The total mass \(m\) is the sum of James' mass and the backpack's mass.
\(m = 50\ \text{kg}+ 5\ \text{kg}=55\ \text{kg}\)

Step2: Use the kinetic energy formula

The formula for kinetic energy is \(KE=\frac{1}{2}mv^{2}\), where \(m\) is the mass and \(v\) is the velocity.
Substitute \(m = 55\ \text{kg}\) and \(v = 8.5\ \text{m/s}\) into the formula:
\(KE=\frac{1}{2}\times55\times(8.5)^{2}\)
First, calculate \((8.5)^{2}=72.25\)
Then, \(\frac{1}{2}\times55\times72.25 = 27.5\times72.25\)
\(27.5\times72.25=1986.875\ \text{J}\)

Answer:

\(1986.875\ \text{J}\)