Two boats are travelling along a river.Boat A is half as massive as boat B,but is going 3 times as fast.What is the ratio of kinetic energies K_A/K_B?

Question

Quizplus · Accepted Answer

The kinetic energy (K) is given by the formula K = 0.5 * m * v^2. For Boat A, K_A = 0.5 * (m/2) * (3v)^2 = 0.5 * (m/2) * 9v^2 = 2.25 * m * v^2. For Boat B, K_B = 0.5 * m * v^2. The ratio K_A/K_B = (2.25 * m * v^2) / (0.5 * m * v^2) = 4.5.

Two Boats Are Travelling Along a River