A physicist is designing an experiment where the result depends on the product of force and velocity. Which of the following physical quantities is directly measured by this product, considering units and dimensions?
Power
Force has the dimensional formula \([MLT^{-2}]\) and velocity has the dimensional formula \([LT^{-1}]\).
The product of force and velocity gives \([MLT^{-2}] \times [LT^{-1}] = [ML^2T^{-3}]\), which is the dimensional formula of power, defined as the rate of doing work.
Energy has dimensions \([ML^2T^{-2}]\), impulse has the same dimensions as momentum \([MLT^{-1}]\), and pressure has dimensions \([ML^{-1}T^{-2}]\), none of which match force times velocity.
Hence, the product of force and velocity directly measures power.
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