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An object with a mass of 10.0 kg is at rest at the top of an inclined plane of length l = 16.0 m and an angle of inclination 30.0° with the horizontal. The object is released from this position and it stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown in the figure below. The coefficient of kinetic friction for the inclined surface is 0.300 and for the horizontal surface is 0.400; the acceleration due to gravity is g = 9.80 m/s². e. If the inclined plane were frictionless, the kinetic energy of the object at the bottom of the incline (Position Ho in the figure) would have been ___ f. The magnitude of the frictional force acting on the object as it moves along the horizontal surface is _ g. The work done by the frictional force on the object as it moves along the horizontal surface is _ h. The distance, d, that the object travels along the horizontal surface before coming to a stop is ___

          An object with a mass of 10.0 kg is at rest at the top of an inclined plane of length l = 16.0 m and an angle of inclination 30.0° with the horizontal. The object is released from this position and it stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown in the figure below. The coefficient of kinetic friction for the inclined surface is 0.300 and for the horizontal surface is 0.400; the acceleration due to gravity is g = 9.80 m/s².
e. If the inclined plane were frictionless, the kinetic energy of the object at the bottom of the incline (Position Ho in the figure) would have been _____
f. The magnitude of the frictional force acting on the object as it moves along the horizontal surface is _____
g. The work done by the frictional force on the object as it moves along the horizontal surface is _____
h. The distance, d, that the object travels along the horizontal surface before coming to a stop is _____

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An object with a mass of 10.0 kg is at rest at the top of an inclined plane of length l = 16.0 m and an angle of inclination 30.0° with the horizontal. The object is released from this position and it stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown in the figure below. The coefficient of kinetic friction for the inclined surface is 0.300 and for the horizontal surface is 0.400; the acceleration due to gravity is g = 9.80 m/s².
e. If the inclined plane were frictionless, the kinetic energy of the object at the bottom of the incline (Position Ho in the figure) would have been
f. The magnitude of the frictional force acting on the object as it moves along the horizontal surface is
g. The work done by the frictional force on the object as it moves along the horizontal surface is
h. The distance, d, that the object travels along the horizontal surface before coming to a stop is

Added by Inmaculada T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Emily Anderson

11/24/2022

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0 \, \text{kg} \) (mass of the block) - \( g = 9.80 \, \text{m/s}^2 \) (acceleration due to gravity) - \( h = \sin(\theta) \times L = \sin(30^\circ) \times 16.0 \) (height of the ramp) ** Show more…

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An object with a mass of 10.0 kg is at rest at the top of an inclined plane of length l = 16.0 m and an angle of inclination 30.0° with the horizontal. The object is released from this position and it stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown in the figure below. The coefficient of kinetic friction for the inclined surface is 0.300 and for the horizontal surface is 0.400; the acceleration due to gravity is g = 9.80 m/s². e. If the inclined plane were frictionless, the kinetic energy of the object at the bottom of the incline (Position Hₒ in the figure) would have been _____ f. The magnitude of the frictional force acting on the object as it moves along the horizontal surface is _____ g. The work done by the frictional force on the object as it moves along the horizontal surface is _____ h. The distance, d, that the object travels along the horizontal surface before coming to a stop is _____

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Transcript

00:01 In this video, i'm going to be looking at the conservation of mechanical energy.

00:04 What we're looking at is a box sliding down a ramp and then sliding along a horizontal surface.

00:11 Okay, so we have a box initially at the top of a ramp.

00:17 Okay, it's going to start from rest.

00:20 We're going to release it.

00:21 It's going to slide down the ramp.

00:24 Okay, and move on to this horizontal surface where it's going to continue moving for some distance.

00:29 So we start from rest up here, we slide down and then continue on.

00:34 And i'm going to call this distance that the block slides down the ramp.

00:39 It'll be a distance l.

00:41 Okay, and the distance it slides once it reaches the horizontal surface, that's going to be distance d.

00:47 This ramp is inclined with respect to the horizontal at some angle theta.

00:52 We have coefficients of kinetic friction between the ramp and the block.

00:57 I'll call that u sub r and between the ramp and the horizontal, not the block and the horizontal surface.

01:05 I'll call that u sub h.

01:07 We're going to be asking a couple of questions about this block's energy at various points in its travels.

01:12 Right, so let's get some values so we can start solving this.

01:16 I have the mass of the block equals 10 .0 kilograms.

01:23 Okay, i have that length of the ramp, l equals 16 .0.

01:28 Meters.

01:31 And my angle of inclination, theta, equals 30 degrees.

01:37 I have the coefficient of kinetic friction on the ramp, mu -subr, equals 0 .3.

01:47 And on that horizontal surface, it is 0 .4.

01:51 We have the acceleration due to gravity g equals 9 .80 meters per second squared.

02:01 Okay, so let's start looking at our questions...

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