Car of mass m travelling down a motorway

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SUMMARY

A car of mass m traveling at 100 km/hr decelerates to 60 km/hr over ten seconds, resulting in an average force calculated using Newton's second law. The power required to maintain a speed of 100 km/hr against this force is determined using the formula P = F × v, where F is the average force and v is the velocity. Additionally, the energy difference between traveling at 105 km/hr and 100 km/hr is quantified, providing insights into fuel consumption corresponding to this energy increase.

PREREQUISITES
  • Newton's second law of motion
  • Basic principles of power calculation
  • Understanding of kinetic energy
  • Knowledge of fuel consumption metrics
NEXT STEPS
  • Calculate average force using F = m × a for deceleration scenarios
  • Explore power calculations in physics with P = F × v
  • Investigate kinetic energy differences using KE = 0.5 × m × v²
  • Research fuel consumption calculations related to speed changes
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Automotive engineers, physics students, and anyone interested in vehicle dynamics and fuel efficiency analysis.

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2. A car of mass m traveling down the motorway at 100 km/hr suddenly stops pressing the accelerator pedal. The result is that the car slows to 60 km/hr in ten seconds. Suppose all travel is along a level road.
(a) What is the average force acting on the car serving to slow it's motion?
(b) How much power is required to maintain the car at 100 km/hr given this external force?
(c) How much more energy is done in traveling at 105 km/hr than 100 km/hr? To how much petrol might this correspond?
 
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