Finding distance with velocity, Uk

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SUMMARY

The discussion focuses on calculating the distance an airplane slides on a runway after making a belly landing at a speed of 80 km/h (22.22222 m/s) with a coefficient of kinetic friction (Uk) of 0.60. The user initially applied the incorrect formula for acceleration, leading to a calculated distance of 1.9 meters. The correct approach involves using the formula V2^2 = V1^2 + 2ad, ensuring the initial velocity is squared in the calculations. This correction is crucial for accurate distance determination.

PREREQUISITES
  • Understanding of basic physics concepts, specifically Newton's laws of motion.
  • Familiarity with kinematic equations, particularly V2^2 = V1^2 + 2ad.
  • Knowledge of friction coefficients and their application in motion equations.
  • Ability to convert units, such as from km/h to m/s.
NEXT STEPS
  • Review the derivation and application of kinematic equations in physics.
  • Study the effects of friction on motion, focusing on kinetic friction coefficients.
  • Practice solving problems involving inclined planes and horizontal motion.
  • Explore advanced topics in dynamics, including energy conservation in sliding objects.
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of real-world applications of kinematic equations.

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Homework Statement


An airplane makes a belly landing at 80km/h (I've converted to 22.22222m/s), the coefficient of kinetic friction between it and the runway is 0.60. How far does the airplane slide on the runway?

Homework Equations


acceleration = [sine(x) - (Uk)(cos(x))] x gravity (I used this formula for an incline question)
V2^{}2 = V1^{}2 + 2ad

The Attempt at a Solution



I've tried using the acceleration = sinex ... formula to solve for the acceleration of the airplane, using an angle of 0 because this is the formula I used for an incline question. I found the acceleration was -5.88m/s/s, then plugged that into the second formula, which yielded me a distance of 1.9m that the airplane travels...which doesn't really make sense to me:
0 = 22.2 + 2(-5.88)(d)
d = 1.9m
Have I done something wrong, or is there an easier formula to use that I haven't come across in my class?
 
Physics news on Phys.org
You didn't square the initial velocity.
 
oh my...thanks :blushing:
 

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