A block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 5.1 m and has an angle of θ = 16° with respect to the horizontal. After being released, it is found to be moving at v = 0.55 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance, d, in meters.
A block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 5.1 m and has an angle of θ = 16° with respect to the horizontal. After being released, it is found to be moving at v = 0.55 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance, d, in meters.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.19P
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A block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 5.1 m and has an angle of θ = 16° with respect to the horizontal. After being released, it is found to be moving at v = 0.55 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance, d, in meters.
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Hi, why can't you solve for vb using the work energy theorum? Since it is initailly at rest and you know vo=0m/s and all the components of work on the incline?
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