What is the Time it Takes for a Car to Fall off a Cliff with Given Parameters?

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SUMMARY

The discussion focuses on calculating the time it takes for a car to fall off a 40-meter cliff after sliding 2 meters. The car has a mass of 1000 kg, a static friction coefficient of 0.1, and a kinetic friction coefficient of 0.50. To determine the speed at which the car leaves the cliff, participants suggest using principles of projectile motion and frictional force calculations. A clearer problem description and visual aids are recommended for better understanding.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of friction coefficients and their applications
  • Familiarity with projectile motion equations
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the force of kinetic friction using the formula: f(kinetic) = coefficient of kinetic friction x mass x gravity
  • Learn how to apply projectile motion equations to determine the time of flight
  • Explore the relationship between initial velocity and distance traveled during sliding
  • Investigate the effects of different friction coefficients on motion dynamics
USEFUL FOR

Students in physics, engineers working on automotive dynamics, and anyone interested in understanding motion under the influence of gravity and friction.

michelle2011
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Homework Statement


I am trying to start a project. My first step is to figure out the time a car fell off of a cliff. I know the height of the cliff which 40 meters, the base of the cliff from the car when it reaches the bottom which is 30 meters. The car has a static friction coeffiecient of 0.1 and a kinetic (sliding) friction coeffiecient of 0.50. Before it falls off the cliff it slides 2 meters and the car has a mass of 1000 kg.


Homework Equations


f(kinetic)=coffecient of kinetic friction x mass x gravity



The Attempt at a Solution


I tried to find the force by setting the above equation equal to kinetic friction which equals the force
 
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You wrote,

"The car has a static friction coeffiecient of 0.1 and a kinetic (sliding) friction coeffiecient of 0.50. "

The static friction coefficient should be larger?

The way you word your problem I have now idea what is going on. A picture might help or a better description of the problem.
 
You should be able to get the speed with which the car left the cliff by assuming projectile motion. Working backwards one can then get the initial speed of the car before it started to skid.
 

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