Question

1. a person on a bike (m = 90 kg) is traveling 4 m/s at the top of a 2 m hill. what is the bikers total energy? (1 point) 1,764 j 720 j 1,944 j 2,484 j

Explanation:

Step1: Calculate kinetic energy

Kinetic energy formula: \(K = \frac{1}{2}mv^{2}\).
Given \(m = 90\space kg\), \(v=4\space m/s\).
\(K=\frac{1}{2}\times90\times4^{2}=\frac{1}{2}\times90\times16 = 720\space J\).

Step2: Calculate potential energy

Potential energy formula: \(U = mgh\).
Given \(m = 90\space kg\), \(g = 9.8\space m/s^{2}\), \(h = 2\space m\).
\(U=90\times9.8\times2=1764\space J\).

Step3: Calculate total energy

Total energy \(E=K + U\).
\(E=720+1764=2484\space J\).

Answer:

\(2484\space J\)