Power as the rate of doing work in mechanics

Steps:

• Identify power as work done per unit time, where work is force times displacement.
• Recognize that force × displacement directly gives work, a key component in power calculations.
• Eliminate electrical options (A, C) as they misuse Ohm's law for power.
• Dismiss D as it yields impulse, not related to power.

Why B is correct:

• Force × displacement equals work (W = F × d), and power P = W / t per the work-energy principle.

Why the others are wrong:

• A: Yields conductance (1/R), not electrical power P = I²R.
• C: No physical basis; electrical power is I²R or VI, not I × R².
• D: Gives impulse (force × time), unrelated to energy transfer rate.

Final answer: B