Drag of Car across frictionless surface.

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SUMMARY

A 1400 kg car with a cross-section of 1.8m wide and 1.46m high slides across a frictionless surface at an initial speed of 19 m/s. To determine the time taken to decelerate to 13 m/s and 10 m/s, one must consider the drag force, which varies with velocity. The fundamental equations involved include D = 0.5(A)v^2 for drag and V = Vo + at for velocity changes. The discussion emphasizes the application of Newton's second law to relate force, momentum, and time.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with drag force calculations
  • Basic knowledge of kinematics and equations of motion
  • Concept of momentum and its relation to force
NEXT STEPS
  • Study the derivation of drag force equations in fluid dynamics
  • Learn how to apply Newton's second law in varying velocity scenarios
  • Explore kinematic equations for non-constant acceleration
  • Investigate the effects of cross-sectional area on drag in different contexts
USEFUL FOR

Physics students, automotive engineers, and anyone interested in the dynamics of motion and drag forces in vehicles.

JosephLee
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1. a 1400 kg car with a cross section of 1.8m wide and 1.46m high slides across a frictionless surface at 19 m/s.

The question is how long does it take (in seconds) to get to 13 m/s?

the 2nd part is how long it does it take to get to 10 m/s?

2. D = .5(A)v^2 where A is the area of cross section

and basic mechanics equation V = Vo + at

3. The real problem lies in the fact that drag changes over the change in velocity. I tried solving for it initially by plugging in different velocities for the drag equation but it doesn't come out right.

So far, there is a drag force going backwards and the momentum of the car going forwards. I'm so frustrated because i believe that I am missing something very simple to solve this.
 
Last edited:
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Welcome to PF!

Hi Joseph! Welcome to PF! :smile:

Hint: use good ol' Newton's second law (force = rate of change of momentum) to make an equation involving t v and v/dt. :wink:
 

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