Kinetic Energy Comparison of Truck and Car · PhysicsBowl 2022 #1

Kinetic energy depends on both mass and speed, but speed matters much more—it's squared in the formula $KE = \frac{1}{2}mv^2$. Since the car is 20 times lighter than the truck, it needs to travel much faster to pack the same energy punch. Set the two kinetic energies equal and solve for the car's speed, watching how that $v^2$ term creates a big speed boost for the lighter vehicle.

Kinetic energy depends on both mass and speed, but speed matters much more—it's squared in the formula $KE = \frac{1}{2}mv^2$. Since the car is 20 times lighter than the truck, it needs to travel much faster to pack the same energy punch. Set the two kinetic energies equal and solve for the car's speed, watching how that $v^2$ term creates a big speed boost for the lighter vehicle.