Applying Newton's Laws; coefficient of kinetic force

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SUMMARY

The discussion focuses on applying Newton's Laws to calculate the acceleration of a crate being pushed across a rough floor. Given a mass of 28 kg, an applied force of 322 N at a 21° angle, and a coefficient of kinetic friction of 0.50, the acceleration is determined using the formula a = g(sinθ - μkcosθ). The calculated acceleration is approximately 10.89 m/s², demonstrating the impact of friction and angle on motion.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of forces and friction coefficients
  • Familiarity with trigonometric functions and angles
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of Newton's second law in various contexts
  • Learn about the effects of different friction coefficients on motion
  • Explore vector decomposition of forces in physics problems
  • Investigate real-world applications of Newton's Laws in engineering
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Students in physics, educators teaching mechanics, and anyone interested in understanding the application of forces in real-world scenarios.

pinkpony
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Homework Statement


To move a large crate across a rough floor, you push on it with a force F at an angle of 21°, below the horizontal. Find the acceleration of the crate, given that the mass of the crate is m = 28 kg, the applied force is 322 N and the coefficient of kinetic friction between the crate and the floor is 0.50.



Homework Equations


a=g(sinθ-μkcosθ)

μk=-a/g


The Attempt at a Solution


a=9.81(0.836655639-(.5)(-0.54772926)
a=10.8942038m/s²
 
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pinkpony said:

Homework Statement


To move a large crate across a rough floor, you push on it with a force F at an angle of 21°, below the horizontal. Find the acceleration of the crate, given that the mass of the crate is m = 28 kg, the applied force is 322 N and the coefficient of kinetic friction between the crate and the floor is 0.50.



Homework Equations





The Attempt at a Solution

Please list your relevant equations and attempt at a solution. Then someone will be glad to assist, once you show your work.
 

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