Physics

To determine when the kinetic energies of objects A and B become equal, we use the formula for kinetic energy:

where:

is the mass,

is the velocity.

Let's analyze each scenario.

Option A: The mass of A is four times that of B, and the speed of A is half the speed of B.

- Kinetic energy of object A:

- Kinetic energy of object B:

. This is true.

Option B: The speed of A is twice that of B, and the mass of A is half the mass of B.

- Kinetic energy of object A:

- Kinetic energy of object B:

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