The masses, volumes, and speeds of several objects are shown. Which object has the greatest kinetic energy?
mass = 5 kg, volume = 2,000 cm^3, speed = 10 m/s
mass = 2 kg, volume = 5,000 cm^3, speed = 10 m/s
mass = 5 kg, volume = 5,000 cm^3, speed = 5 m/s
mass = 2 kg, volume = 10,000 cm^3, speed = 5 m/s
To determine the kinetic energy of each object, we can use the formula:
Kinetic Energy = 0.5 * mass * speed^2
Let's calculate the kinetic energy for each object:
1. Kinetic Energy = 0.5 * 5 kg * (10 m/s)^2 = 0.5 * 5 kg * 100 m^2/s^2 = 250 J
2. Kinetic Energy = 0.5 * 2 kg * (10 m/s)^2 = 0.5 * 2 kg * 100 m^2/s^2 = 100 J
3. Kinetic Energy = 0.5 * 5 kg * (5 m/s)^2 = 0.5 * 5 kg * 25 m^2/s^2 = 62.5 J
4. Kinetic Energy = 0.5 * 2 kg * (5 m/s)^2 = 0.5 * 2 kg * 25 m^2/s^2 = 25 J
From these calculations, we can see that the object with the greatest kinetic energy is the one with a mass of 5 kg, a volume of 2,000 cm^3, and a speed of 10 m/s.