Concept explainers
a.
The force parallel to the ramp
a.
Answer to Problem 72A
Explanation of Solution
Given:
The height of the ramp,
The length of the ramp,
The mass of the box,
Formula used:
Work-energy theorem,
Where
And, the work done is given by,
Where
Calculation:
Then, combining above two formulas,
Using the given values in above,
Conclusion:
Thus, the needed force
b.
The IMA of the ramp.
b.
Answer to Problem 72A
Explanation of Solution
Given:
The height of the ramp,
The length of the ramp,
The mass of the box,
Formula used:
The idea mechanical advantage is the ratio of the distances moved,
Where
Calculation:
Using the given values, IMA of the ramp can be calculated as,
Conclusion:
Thus, the IMA of the ramp is
c.
The actual MA and the efficiency of the ramp if a
c.
Answer to Problem 72A
Explanation of Solution
Given:
The mass of the box,
The actual force needed,
From part (a),
Formula used:
The mechanical advantage of a system is given by,
Where
And, the efficiency of a machine is the ratio of mechanical advantage and ideal mechanical advantages,
Calculation:
The weight of the box will act as a resistance force, thus
Using the given values, the actual MA can be calculated as,
And, then the efficiency of the ramp will be,
Conclusion:
Thus, the actual MA and the efficiency of the ramp is
Chapter 10 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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