A cube of mass m = 61 kg slides along a horizontal surface. The coefficient of friction between the cube and the surface is μk = 0.41. The cube has an initial speed of vo = 18 m/s in the positive x-direction as shown. a. Write an expression for the x-component of the frictional force the cube experiences, Ff, in terms of the given variables and variables available in the palette. b. What is the magnitude of the frictional force in N? c. How far will the cube travel, in meters, before coming to rest?

A cube of mass m = 61 kg slides along a horizontal surface. The coefficient of friction between the cube and the surface is μk = 0.41. The cube has an initial speed of vo = 18 m/s in the positive x-direction as shown. a. Write an expression for the x-component of the frictional force the cube experiences, Ff, in terms of the given variables and variables available in the palette. b. What is the magnitude of the frictional force in N? c. How far will the cube travel, in meters, before coming to rest?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 60PQ

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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

A cube of mass m = 61 kg slides along a horizontal surface. The coefficient of friction between the cube and the surface is μ_k = 0.41. The cube has an initial speed of v_o = 18 m/s in the positive x-direction as shown.

a. Write an expression for the x-component of the frictional force the cube experiences, F_f, in terms of the given variables and variables available in the palette.

b. What is the magnitude of the frictional force in N?

c. How far will the cube travel, in meters, before coming to rest?

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Step 1: Given that:

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Step 2: a) Expression for the x-component of the frictional:

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Step 3: b) The magnitude of the frictional force in N:

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Step 4: c) Distance traveled by the cube before coming to rest:

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