(a)
The magnitude of the relative acceleration as a function of
(a)
Answer to Problem 41AP
The magnitude of the relative acceleration as a function of
Explanation of Solution
A object of mass
Figure I
Formula to calculate the relative acceleration is,
Here,
Formula to calculate the gravitational force exerted by the object on the Earth is,
Here,
By Newton’s law the force exerted by the object is,
From equation (II) and equation (III) is,
The forces
Here,
Substitute
By Newton’s law the force exerted by the Earth is,
From equation (IV) and equation (V) is,
Substitute
Substitute
Conclusion:
Therefore, the magnitude of the relative acceleration as a function of
(b)
The magnitude of the relative acceleration for
(b)
Answer to Problem 41AP
The magnitude of the relative acceleration for
Explanation of Solution
From equation (VI) the relative acceleration is,
Substitute
Conclusion:
Therefore, the magnitude of the relative acceleration for
(c)
The magnitude of the relative acceleration for
(c)
Answer to Problem 41AP
The magnitude of the relative acceleration for
Explanation of Solution
From equation (VI) the relative acceleration is,
Substitute
Conclusion:
Therefore, the magnitude of the relative acceleration for
(d)
The magnitude of the relative acceleration for
(d)
Answer to Problem 41AP
The magnitude of the relative acceleration for
Explanation of Solution
From equation (VI) the relative acceleration is,
Substitute
Conclusion:
Therefore, the magnitude of the relative acceleration for
(e)
The pattern of variation of relative acceleration with
(e)
Answer to Problem 41AP
The relative acceleration is directly proportional to the mass
Explanation of Solution
From equation (VI) the relative acceleration is,
This is the linear equation and shows the relative acceleration is directly proportional to the object having mass
Conclusion:
Therefore, the relative acceleration is directly proportional to the object having mass
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Physics for Scientists and Engineers
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