The ratio of the kinetic energy of object A to the kinetic energy of the object B is 2: 1. The mass of object A is 2.0 kg and the mass of object B is 4.0 kg. If object A has a speed of 4.0 m/s, what is the speed of object B?

Question

Quizplus · Accepted Answer

The kinetic energy of object A is (1/2) * 2.0 kg * (4.0 m/s)^2 = 16 J. Since the ratio of kinetic energies is 2:1, object B's kinetic energy is 8 J. Using KE = (1/2) * m * v^2 for object B: 8 J = (1/2) * 4.0 kg * v^2, solving for v gives v = 2.0 m/s.

The Ratio of the Kinetic Energy of Object a to the Kinetic