An object is on earth with a mass of 10.0 kg at the top of a frictionless inclined plane of length 8.00 m and an angle of inclination 30.0° with the horizontal, and with an initial velocity down the plane of 2.0 m/s. The object slides from this position and it stops at a distance d from the bottom of the inclined plane along a rough horizontal surface with friction, as shown. The coefficient of kinetic friction for the horizontal surface is 0.400. (a) What is the speed of the object at the bottom of the inclined plane? (b) At what horizontal distance d from the bottom of the inclined plane will this object stop? Use Work and Energy Principles to solve. Do not use Newton’s laws for constant acceleration: Zero credit if you do not use conservation of energy concepts.

An object is on earth with a mass of 10.0 kg at the top of a frictionless inclined plane of length 8.00 m and an angle of inclination 30.0° with the horizontal, and with an initial velocity down the plane of 2.0 m/s. The object slides from this position and it stops at a distance d from the bottom of the inclined plane along a rough horizontal surface with friction, as shown. The coefficient of kinetic friction for the horizontal surface is 0.400. (a) What is the speed of the object at the bottom of the inclined plane? (b) At what horizontal distance d from the bottom of the inclined plane will this object stop? Use Work and Energy Principles to solve. Do not use Newton’s laws for constant acceleration: Zero credit if you do not use conservation of energy concepts.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 8STP

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An object is on earth with a mass of 10.0 kg at the top of a frictionless inclined plane of length 8.00 m and an angle of inclination 30.0° with the horizontal, and with an initial velocity down the plane of 2.0 m/s. The object slides from this position and it stops at a distance d from the bottom of the inclined plane along a rough horizontal surface with friction, as shown. The coefficient of kinetic friction for the horizontal surface is 0.400. (a) What is the speed of the object at the bottom of the inclined plane? (b) At what horizontal distance d from the bottom of the inclined plane will this object stop? Use Newton’s Laws for constant acceleration and Friction Forces to solve. Do not use Conservation of Energy concepts: zero credit if you use Conservation of Energy.
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