13) A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of energy may be much easier. W₁ = K₁-K₂ W₁ = Ford Joh my? d 8.0 m 30° A) 20 m B) 15 m C) 25 m D) 5.0 m E) 10 m
13) A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of energy may be much easier. W₁ = K₁-K₂ W₁ = Ford Joh my? d 8.0 m 30° A) 20 m B) 15 m C) 25 m D) 5.0 m E) 10 m
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter4: Newton's Laws Of Motion
Section: Chapter Questions
Problem 81AP: A frictionless plane is 10.0 m long and inclined at 35.0. A sled starts at the bottom with an...
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Step 1: Given data
VIEWStep 2: Representation of given system.
VIEWStep 3: Calculation for potential energy of object at the top and bottom of inclined plane.
VIEWStep 4: Calculation for kinetic energy of object at the top and bottom of inclined plane
VIEWStep 5: Calculation for object's velocity at the bottom of plane using conservation of energy.
VIEWStep 6: Calculation for kinetic frictional force.
VIEWStep 7: Calculation for object's acceleration during its horizontal motion.
VIEWStep 8: Calculation for horizontal distance 'd' traveled by object.
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