Concept explainers
(a)
The initial speed of the block.
(a)
Answer to Problem 83P
The initial speed of the block is
Explanation of Solution
Figure 1 represents that a block slides up a frictionless inclined plane.
From the above figure
Figure 2 represent the free body diagram of the block ignoring friction.
Write the expression for net force acting on the block in the
The above equation can be written as
Write the expression for net force acting on the block in the
The above equation can be written as
Write the kinematic equation.
Here,
Since the final velocity of the block is zero and the initial position of the block is zero, the above equation is written as
Use equation (I) and (II) in the above equation.
Conclusion:
Substitute
Therefore, the initial speed of the block is
(b)
The initial speed required for the block to reach the maximum height.
(b)
Answer to Problem 83P
The initial speed required for the block to reach the maximum height is
Explanation of Solution
Figure 3 represent the free body diagram of the block by considering friction.
Write the expression for net force acting on the block in the
The above equation can be written as
Write the expression for frictional force.
Here,
Use the above equation in equation (IV).
Write the kinematic equation.
Here,
Since the final velocity of the block is zero and the initial position of the block is zero, the above equation is written as
Use
Conclusion:
Substitute
Substitute
Therefore, the initial speed required for the block to reach the maximum height is
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Chapter 4 Solutions
COLLEGE PHYSICS,VOL.1
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