
(a)
The time interval in which the smaller block make it to the right side of the
(a)

Answer to Problem 55P
The time interval in which the smaller block make it to the right side of the
Explanation of Solution
The free body diagram of the top block is shown in Figure 1.
The free diagram of the bottom block is shown in Figure 2.
From the Figure 1, write the expression for net force in the
Here,
Apply Newton’s law in the
Here,
Equate the equation (I) and (II).
From the Figure 2, write the expression for net force in the
Apply Newton’s law in the
Here,
Equate the equation (IV) and (V).
Write the expression for frictional force.
Use equation (VII) in (III).
Use equation (VII) in (VI).
Consider the Figure 3.
In the time
The necessary condition to reach the top block at the right edge of the bottom block is,
Here,
Use
Conclusion:
Substitute,
Substitute,
Substitute,
Therefore, the time interval in which the smaller block make it to the right side of the
(b)
The distance in which the
(b)

Answer to Problem 55P
The distance in which the
Explanation of Solution
Conclusion:
Substitute,
Therefore, the distance in which the
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Chapter 5 Solutions
Principles of Physics: A Calculus-Based Text
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