(II) If a car generates 18 hp when traveling at a steady 95 km/h, what must be the average force

step 1 Hey everyone, this is question 60 from chapter 6. This problem asks us to find the total resisti

(II) If a car generates 18 hp when traveling at a steady 95...

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Key Concepts

Power Unit Conversion

This concept involves converting the measurement of power from one unit to another. In this context, horsepower (hp) needs to be converted into watts (W), as watts are the standard SI unit for power. The conversion factor (1 hp ? 746 W) is used to make calculations consistent with other SI units like meters per second for speed and newtons for force.

Unit Conversion

Unit conversion is crucial when combining different physical quantities. In this problem, the car’s speed is given in kilometers per hour (km/h) but must be converted into meters per second (m/s) to align with the SI units used for power (watts) and force (newtons). This requires using the conversion factor (1 km/h ? 0.27778 m/s) to ensure accuracy in applying the formula relating power, force, and velocity.

Relationship between Power, Force, and Velocity

This key concept is captured by the equation P = F · v, which connects power (P), force (F), and velocity (v). By rearranging the equation to F = P / v, one can determine the resistive force that must be overcome for an object to maintain a constant speed when a given power is applied. This relationship is fundamental in mechanics, particularly when analyzing motion under non-conservative forces such as friction and air resistance.

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