Two objects with equal masses are in motion. Which object will have more kinetic energy?
1. The object with the greater volume
2. The object with the greater speed
3. The object with the greater density
4. The object with the greater acceleration.
The object with the greater speed.
To determine which object will have more kinetic energy, let's go through the options one by one:
1. The object with the greater volume: The volume of an object is not directly related to its mass or speed. Therefore, the volume of the objects does not affect their kinetic energy. So, we can exclude this option.
2. The object with the greater speed: Kinetic energy is directly proportional to the square of an object's speed. So, the object with the greater speed will have more kinetic energy. This is based on the formula for kinetic energy: KE = 1/2 * m * v^2, where m is the mass and v is the speed. Therefore, this is the correct answer.
3. The object with the greater density: The density of an object is the ratio of its mass to its volume. While density is related to an object's mass, it does not directly determine its kinetic energy. So, we can exclude this option.
4. The object with the greater acceleration: Acceleration affects the change in speed rather than the actual speed itself. Kinetic energy is directly proportional to the square of the speed, not the acceleration. Therefore, we can exclude this option.
In summary, the correct answer is option 2: The object with the greater speed will have more kinetic energy.