Physics

To determine which scenario results in the car's kinetic energy becoming four times its original value, we will use the kinetic energy formula:

where:

is the mass,

is the velocity.

We need to find out when the new kinetic energy four times the initial kinetic energy.

Now, let's analyze each scenario:

Option A: The mass remains unchanged, and the velocity increases to twice its original value.

- Initial kinetic energy:

- New kinetic energy with velocity doubled:

Kinetic energy increases by a factor of 4. This matches the condition.

Option B: The velocity remains unchanged, and the mass increases to twice its original value.

- Initial kinetic energy:

- New kinetic energy with mass doubled: