Question

What is the velocity of Mr. Smed's batmobile if it has a mass of 845 kg and has enough energy to power Gotham City for an hour (2,450,800 J)?

A. 50 m/s
B. 76 m/s
C. 100 m/s
D. 92 m/s

Answer 1

The velocity of Mr. Smed's batmobile is approximately 76 m/s.

Step-by-step explanation:

In order to find the velocity of Mr. Smed's batmobile, we need to use the formula: kinetic energy = 0.5 * mass * velocity^2. Rearranging the formula to solve for velocity gives us: velocity = sqrt(kinetic energy / (0.5 * mass)). Plugging in the given values, we get: velocity = sqrt(2,450,800 J / (0.5 * 845 kg)) = sqrt(5,788.698) = 76.04 m/s.

Therefore, the velocity of Mr. Smed's batmobile is approximately 76 m/s.