Question

Which has the most kinetic energy?

1) 2kg mass moving at 3 m/s
2) 4kg mass moving at 1 m/s
3) 1kg mass moving at 4 m/s
4) 3kg mass moving at 2 m/s

Answer 1

Upon calculating the kinetic energy for each object using the formula Ek = 0.5 * m * v2, the 2kg mass moving at 3 m/s has the most kinetic energy, amounting to 9 Joules.

Step-by-step explanation:

To determine which object has the most kinetic energy, we use the kinetic energy formula Ek = 0.5 * m * v2, where Ek is the kinetic energy, m is the mass, and v is the velocity of the object. We can plug in the values for each of the given objects to calculate their kinetic energies:

1. For the 2 kg mass at 3 m/s: Ek = 0.5 * 2kg * (3 m/s)2 = 9 Joules
2. For the 4 kg mass at 1 m/s: Ek = 0.5 * 4kg * (1 m/s)2 = 2 Joules
3. For the 1 kg mass at 4 m/s: Ek = 0.5 * 1kg * (4 m/s)2 = 8 Joules
4. For the 3 kg mass at 2 m/s: Ek = 0.5 * 3kg * (2 m/s)2 = 6 Joules

Therefore, the object with the most kinetic energy is the 2kg mass moving at 3 m/s with 9 Joules.