Physics

To determine which scenario increases the object's kinetic energy to three times its original value, let's review the kinetic energy formula:

where:

is the mass,

is the velocity.

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

Let's analyze each scenario.

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

- Initial kinetic energy:

- New kinetic energy with velocity tripled:

Kinetic energy increases by a factor of 9, not 3.

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

- Initial kinetic energy:

- New kinetic energy with velocity increased nine times:

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