Two cars travel at the same speed of 105 km/h

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SUMMARY

Two cars traveling at a constant speed of 105 km/h exhibit different power requirements due to varying air resistance. The sports car requires 35 kW, while the other car needs 65 kW to maintain the same speed. This discrepancy is attributed to the forces exerted by air resistance. To analyze the situation, one must consider external horizontal forces, apply Newton's third law of motion, calculate the forward forces exerted by each car on the air, and identify the energy source for the engines' work.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of forces and power in physics
  • Familiarity with concepts of air resistance
  • Ability to perform calculations involving power and force
NEXT STEPS
  • Study the principles of Newton's third law of motion
  • Learn how to calculate air resistance and its impact on vehicle performance
  • Explore the relationship between power, force, and speed in physics
  • Investigate energy transfer mechanisms in automotive engines
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Students studying physics, automotive engineers, and anyone interested in understanding vehicle dynamics and forces acting on moving objects.

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Two cars travel at the same speed of 105 km/h. One of the cars, a sleek sports car, has a motor that delivers only 35 kW of power at this speed. The other car's motor needs to produce 65 kW to move the car at this speed. Forces exerted from air resistance cause the difference.

A) For each car, list the external horizontal forces exerted on it, and give the cause of each force. Compare their magnitudes.
B) According to Newton's third law of motion, each car exerts forces. What are the directions of these forces?
C) Calculate the magnitude of the forward force exerted by each car on the air.
D) The car engines did work. Where did the energy they transferred come from?


I really have no clue where to begin when solving this problem, and I'd love some help if anyone knows how to do this! Thank you sooo much!
 
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Hi there,

Probably the best tip one can give you is to make a drawing of the situation. It does not have to be pretty (we are not artist, but doing physics), just explaning the situation. Once you have you two cars drawn, then imagine what are the forces acting upon them. The rest should come easily.

Cheers
 

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