Concept explainers
(a)
The speed of the brick when it reaches edge of the roof.
(a)
Answer to Problem 36P
The speed of the brick when it reaches edge of the roof is
Explanation of Solution
Write the equation for the change in height.
Here,
Write the principle of conservation of energy.
Here,
Since the brick starts from rest, its initial kinetic energy is zero and also its potential energy at the edge of the roof is zero.
Substitute
Write the equation for
Here,
Write the expression for
Here,
Put equations (III) and (IV) in equation (II).
Conclusion:
Given that the distance to the edge of the roof is
is
Substitute
Substitute
Therefore, the speed of the brick when it reaches edge of the roof is
(b)
The speed of the brick when it reaches edge of the roof if the coefficient of kinetic friction is
(b)
Answer to Problem 36P
The speed of the brick when it reaches edge of the roof with coefficient of kinetic friction
Explanation of Solution
Write the equation for the work done by the friction force on the brick.
Here,
Write the equation for
Here,
Put the above equation in equation (VI).
This work is stored as the potential energy.
Write the equation for
Put equation (I) in the above equation.
Put equations (IV) and (VII) in equation (II).
Conclusion:
Substitute
Therefore, the speed of the brick when it reaches edge of the roof with coefficient of kinetic friction
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