Find the acceleration with very little

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SUMMARY

The discussion centers on calculating the acceleration of a box on a 4.5m inclined plane at a 22-degree angle, with a kinetic friction coefficient of 0.12. To determine the acceleration, one must first calculate the net force acting on the box using Newton's Second Law (F=ma). The gravitational force component along the incline and the frictional force must be considered to find the resultant acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of gravitational force components on an incline
  • Familiarity with friction coefficients and their impact on motion
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Calculate the gravitational force component acting on the box using the formula F_gravity = m * g * sin(θ)
  • Determine the frictional force using F_friction = μ * N, where N is the normal force
  • Apply Newton's Second Law to find the net force: F_net = F_gravity - F_friction
  • Calculate acceleration using the formula a = F_net / m
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of applying Newton's laws in real-world scenarios.

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Homework Statement


The problem i have to do is i have to find the acceleration of a box with unknown weight on a decline plain that has a length of 4.5m and an angle of 22 degs. the box has a kinetic friction at the end of the ramp of .12 .
how would u calculate this?

Homework Equations





The Attempt at a Solution

 
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Figure out the net force on the box and apply Newton's 2nd law.
 

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