Applying Newton's Laws; coefficient of kinetic force

AI Thread Summary
To determine the acceleration of a crate being pushed across a rough floor, the applied force of 322 N at a 21° angle and the crate's mass of 28 kg are considered alongside a coefficient of kinetic friction of 0.50. The relevant equation for acceleration is a = g(sinθ - μk cosθ), where g is the acceleration due to gravity. The calculated acceleration comes out to approximately 10.89 m/s². The discussion emphasizes the importance of correctly applying Newton's laws and understanding the effects of friction in such scenarios. Accurate calculations are crucial for solving physics problems involving forces and motion.
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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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