A car with a mass of 1000 kg is traveling at 20 m/s.How fast does a person on a bicycle with a total mass of 100 kg have to travel such that they have the same kinetic energy as the car?

Question

Quizplus · Accepted Answer

The kinetic energy of the car is given by (1/2)mv^2, where m is the mass and v is the velocity. Therefore, the kinetic energy of the car is (1/2)(1000 kg)(20 m/s)^2 = 200,000 J.
For the person on the bicycle to have the same kinetic energy as the car, we need to solve for their velocity using the same formula: 200,000 J = (1/2)(100 kg)v^2. Solving for v, we get v = √(4000) = 63.24 m/s, which is closest to option B (63 m/s).

A Car with a Mass of 1000 Kg Is Traveling