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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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

d
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-K₁
W₁ = d
Fid=14-1₂
8.0 m
30°
A) 20 m B) 15 m C) 25 m D) 5.0 m E) 10 m
any?

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Step 1: Given data

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Step 2: Representation of given system.

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Step 3: Calculation for potential energy of object at the top and bottom of inclined plane.

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Step 4: Calculation for kinetic energy of object at the top and bottom of inclined plane

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Step 5: Calculation for object's velocity at the bottom of plane using conservation of energy.

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Step 6: Calculation for kinetic frictional force.

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Step 7: Calculation for object's acceleration during its horizontal motion.

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Step 8: Calculation for horizontal distance 'd' traveled by object.

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