A box of mass m kg slides down a ramp inclinded at angle with the horizontal. The coeficcient of kinetic friction between the box and ramp is μ and coeficcient of static friction for the same is μg. The coordinate axis have been chosen with the x axis up the incline. Find expressions for the net force in the x direction, EF, and net force in the y direction, Fy, consistent with the coordinate axes in the drawing. Find an expression for the acceleration of the box in the x direction and use it to find the magnitude of the acceleration in meters per squared second when the angle of the incline is 21° and the coefficient of kinetic friction is 0.075. Using the numbers from the previous step give a numeric answer for the time in seconds that elapse when the package initially at rest travels a distance of 3.75 m down the ramp. Using this information give a numeric answer for the speed of the package the moment it traveled a distance of 3.75 m down the ramp.

A box of mass m kg slides down a ramp inclinded at angle with the horizontal. The coeficcient of kinetic friction between the box and ramp is μ and coeficcient of static friction for the same is μg. The coordinate axis have been chosen with the x axis up the incline. Find expressions for the net force in the x direction, EF, and net force in the y direction, Fy, consistent with the coordinate axes in the drawing. Find an expression for the acceleration of the box in the x direction and use it to find the magnitude of the acceleration in meters per squared second when the angle of the incline is 21° and the coefficient of kinetic friction is 0.075. Using the numbers from the previous step give a numeric answer for the time in seconds that elapse when the package initially at rest travels a distance of 3.75 m down the ramp. Using this information give a numeric answer for the speed of the package the moment it traveled a distance of 3.75 m down the ramp.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 61P

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