(a)
The acceleration of the block when the surface is frictionless.
(a)
Answer to Problem 71A
The acceleration of the block when the surface is frictionless is
Explanation of Solution
Given:
The mass
The applied force
The net acceleration
Consider the acceleration due to gravity
Formula used:
Newton’s Second Law:
The object’s acceleration is equivalent to the sum of the forces acting on the object divided by the object’s mass. That is,
Calculation:
The surface is frictionless. So, the frictional force acting on the block is denoted by
The acceleration of the block is denoted by
Apply Newton’s second law of motion,
Substitute the values for the applied force and the mass of the block.
Conclusion:
Therefore, the acceleration of the block when the surface is frictionless is
(b)
The kinetic friction force acting on the block.
(b)
Answer to Problem 71A
The kinetic friction force acting on the block is
Explanation of Solution
Given:
The mass
The applied force
The net acceleration
Consider the acceleration due to gravity
Formula used:
Consider a horizontal force acts on the object and the object slides over the surface, frictional force acts between the object and surface. The expression for the kinetic frictional force between the object and the surface as follows:
Here,
Newton’s Second Law:
The object’s acceleration is equivalent to the sum of the forces acting on the object divided by the object’s mass. That is,
Calculation:
Consider the kinetic friction force acting on the block is denoted by
The relation between the applied force on the block and the frictional resistance is:
Substitute the values for the applied force, mass of the block and net acceleration.
Conclusion:
Therefore, the kinetic friction acting on the block is
(c)
The coefficient of kinetic friction between the block and the surface.
(c)
Answer to Problem 71A
The coefficient of kinetic friction between the block and the surface is
Explanation of Solution
Given:
The mass
The applied force
The net acceleration
Consider the acceleration due to gravity
Formula used:
Consider a horizontal force acts on the object and the object slides over the surface, frictional force acts between the object and surface. The expression for the kinetic frictional force between the object and the surface as follows:
Here,
Calculation:
The weight
The normal force
From part (b), the friction force
So, the value of the coefficient of kinetic friction
Conclusion:
Therefore, the coefficient of kinetic friction between the block and the surface is
Chapter 5 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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