Acceleration of Forces at Angles

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SUMMARY

The discussion centers on calculating the acceleration of a box being pulled by a clerk with a force of 176.0 N at an angle of 30.0° above the horizontal. The box has a mass of 40.0 kg, and the coefficient of kinetic friction is 0.520. To find the acceleration, one must consider the components of the pulling force, the gravitational force, and the frictional force acting on the box. The final acceleration can be determined using Newton's second law, factoring in these forces.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of free body diagrams (FBD)
  • Familiarity with vector components of forces
  • Basic concepts of friction and its coefficients
NEXT STEPS
  • Calculate the net force acting on the box using vector decomposition
  • Learn about the effects of angles on force components in physics
  • Study the relationship between mass, force, and acceleration in detail
  • Explore practical applications of friction in real-world scenarios
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of forces and motion.

kcrox
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A clerk moves a box of cans down an aisle by
pulling on a strap attached to the box. The
clerk pulls with a force of 176.0 N at an angle
of 30.0◦ with the horizontal. The box has a
mass of 40.0 kg, and the coefficient of kinetic
friction between the box and floor is 0.520.
The acceleration of gravity is 9.81 m/s2 .
What is the acceleration of the box?
Answer in units of m/s2.

Okay, this should be a simple problem, but I don't understand what it means when it says 'with the horizontal' and how that would look on my FBD. Help me please?
 
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"with the horizontal" should be "to the horizontal"--that is, she pulls at an angle that's 30 degrees above the horizontal.
 

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