To travel at a constant speed, a car engine provides 24 kW of useful Power. The driving force on the car is 600 N. At what speed does it travel?
Correct answer: D. 40 ms-1
- A. 25 ms-1
- B. 4.0 ms-1
- C. 2.5 ms-1
- D. 40 ms-1
Explanation
P is the power in watts.F is the force in newtons.v is the speed in meters per second.We are given:P = 24 kW = 24 × 1000 = 24000 WF = 600 NTo find the speed, we can rearrange the formula to solve for v:v = P/FSubstitute the given values:v = 24000/600= 40 m/sThus, the car travels at a speed of 40 m/s.
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Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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