which object has the greatest kinetic energy?
1. A yellow car with a mass of 500 kg moving at 12 m/s
2. A red car mass of 500 kg moving at 3m/s
3. A green car with a mass of 500 kg moving at 21 m/s
4. Blue car with a mass of 500 kg moving at 300 m/s
The object with the greatest kinetic energy is the blue car with a mass of 500 kg moving at 300 m/s.
(1/2) m v^2
m is the same for all choices, look for a big v
You are correct. The kinetic energy is determined by the mass and velocity squared. Thus, the object with the greatest kinetic energy would be the blue car with a mass of 500 kg moving at 300 m/s.
To determine which object has the greatest kinetic energy, you need to use the formula for kinetic energy:
Kinetic Energy = 1/2 * mass * velocity^2
Let's calculate the kinetic energy for each of the given objects:
1. Yellow car: Mass = 500 kg, Velocity = 12 m/s
Kinetic Energy = 1/2 * 500 kg * (12 m/s)^2 = 36,000 J
2. Red car: Mass = 500 kg, Velocity = 3 m/s
Kinetic Energy = 1/2 * 500 kg * (3 m/s)^2 = 2,250 J
3. Green car: Mass = 500 kg, Velocity = 21 m/s
Kinetic Energy = 1/2 * 500 kg * (21 m/s)^2 = 220,500 J
4. Blue car: Mass = 500 kg, Velocity = 300 m/s
Kinetic Energy = 1/2 * 500 kg * (300 m/s)^2 = 45,000,000 J
So, the blue car with a mass of 500 kg moving at 300 m/s has the greatest kinetic energy of 45,000,000 J.