Question

If an object's mass is doubled, its kinetic energy:

Option 1: Doubles
Option 2: Halves
Option 3: Remains the same
Option 4: Becomes zero

Answer 1

If an object's mass is doubled, its kinetic energy remains the same.

Step-by-step explanation:

The correct answer is Option 3: Remains the same.

Kinetic energy is given by the equation: Kinetic energy = 1/2 * mass * velocity^2. When the mass of an object is doubled, its kinetic energy does not double. The only way to change the kinetic energy is by changing the velocity.

For example, let's say the initial mass of an object is 2 kg and its initial velocity is 5 m/s. The initial kinetic energy is calculated as: Kinetic energy = 1/2 * 2 kg * (5 m/s)^2 = 25 J.

If we double the mass to 4 kg and keep the velocity the same, the new kinetic energy is calculated as: Kinetic energy = 1/2 * 4 kg * (5 m/s)^2 = 50 J. As you can see, the kinetic energy has doubled when the mass is doubled, while keeping the velocity constant. Therefore, the correct answer is Option 3: Remains the same.