The top speed of a car whose engine is delivering 250 kW of power is 240 km h^-1 Calculate the v

step 1 In this question it is given that a car whose engine is developing a power of 250 kilowatt is mo

The top speed of a car whose engine is delivering 250 kW of...

The top speed of a car whose engine is delivering $250 \mathrm{kW}$ of power is $240 \mathrm{km} \mathrm{h}^{-1}$ Calculate the value of the resistance force on the car when it is travelling at its top speed on a level road.

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Key Concepts

Unit Conversion

Accurate conversion between different measurement units is essential for consistency in calculations. In particular, converting velocity from kilometers per hour to meters per second ensures that the values are in compatible units when applying formulas that involve power (watts) and force (newtons).

Power-Force-Velocity Relationship

This key concept is expressed by the formula P = F × v, which connects power, force, and velocity. It allows us to find the resisting force acting against an object when its power output and velocity are known, by rearranging the formula to F = P/v.

Force

Force is an influence that can change the motion of an object and is a vector quantity measured in newtons. In dynamics, the net force acting on an object determines its acceleration, and in steady motion, an applied force is balanced by a resistance force, such as friction or air drag.

Power

Power is the rate at which work is performed or energy is transferred. In the context of engines, power represents the ability to perform work over time and is measured in watts (or kilowatts). It is crucial in determining how bodily force, like resistance or friction, is overcome to maintain motion.

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