Pushing at an angle up an inclined plane

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SUMMARY

The discussion focuses on calculating the acceleration of an 18 kg box being pushed up an inclined plane at a 15-degree angle with a force of 239 N applied at 34.7 degrees below the horizontal. The net force acting on the box is determined by subtracting the gravitational force component along the incline (Fgx) from the applied force (Fpush). The calculations yield an acceleration of 5.5262 m/s² up the ramp, confirming the effectiveness of the applied force in overcoming gravitational resistance.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic trigonometry for resolving forces
  • Knowledge of gravitational force calculations
  • Familiarity with inclined plane physics
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1. You are pushing a box of mass 18kg with a force of 239 N at 34.7 degrees below the horizontal. The box is on an inclined plane at angle 15 degrees above the horizontal. What is the acceleration of the box up the ramp?



2. F=ma
Fpush-Fgx = ma




The Attempt at a Solution


Fgx = (Fg)(sin(15))
Fpush = (Fg)(cos(34.7))

Fpush - Fgx = ma
145.174 N - 45.702 N = (18kg)(a)
a = 5.5262 m/s/s
 
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Does anybody know how to help me with this?
 

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