The Vector Nature of Newton's Second Law

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SUMMARY

The discussion focuses on calculating the force of friction acting on a 50.0 kg crate being pulled by a 300.0 N force at an angle of 30.0 degrees above the horizontal. The crate moves at a constant velocity of 0.962 m/s, indicating that the net force acting on it is zero. The relevant forces to consider are the horizontal component of the pulling force and the friction force, while the weight of the crate and the normal force from the floor are not pertinent to this calculation. The horizontal and vertical components of the applied force must be determined to find the friction force.

PREREQUISITES
  • Understanding of vector decomposition in physics
  • Familiarity with Newton's Second Law (F = ma)
  • Knowledge of trigonometric functions (sine, cosine, tangent)
  • Ability to analyze forces acting on an object
NEXT STEPS
  • Calculate the horizontal and vertical components of the 300.0 N force using trigonometric functions.
  • Apply Newton's Second Law to determine the friction force acting on the crate.
  • Explore the concept of static vs. kinetic friction in relation to the problem.
  • Review examples of force analysis in two-dimensional motion.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators seeking to explain the application of Newton's laws in real-world scenarios.

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Homework Statement


A crate of mass 50.0 kg is pulled across a level concrete floor by a force of 300.0 N acting 30.0 degrees above the horizontal. The crate moves at a constant velocity of 0.962 m/s. What is the force of friction acting on the crate?

Homework Equations


SINE, COSINE, TANGENT
F = ma
a = f/m
Fnet = F1 + F2


The Attempt at a Solution


I'm not sure how the mass and velocity comes into play in this question. Because can't I just find all the sides of the triangle to find the force of friction?
 
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[tex]\vec{F}= m\vec{a}[/tex]
and the acceleration vector is 0. There are FOUR forces acting on the crate but only two of them are relevant to this question:
(1) 300N at 30 degrees above the horizontal. What are its horizontal and vertical components?
(2) Friction force which is purely horizontal. That's what you want to find.
The two forces that are not directly relevant are
(3) The weight of the crate which is purely vertical.
(4) The force of the floor on the crate which is purely vertical.

The last two are not relevant because you are asked only for a horizontal force.
Because of that, the mass and velocity do NOT play any part in this problem.
 

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