(a)
To Find: The percentage of the sphere that would be submerged if the sphere were released to float freely.
(a)
Explanation of Solution
Given:
The amount of force required to completely submerge the sphere,
Density of the sphere,
Formula Used:
Here,
Calculations:
Let the volume of sphere be
Density of water,
For the sphere to float freely over water, the buoyant force must be equal to the weight of the sphere.
Conclusion:
Thus, the percentage of the sphere that would be submerged if the sphere were released to float freely is
(b)
To Find: The weight of the sphere in the air.
(b)
Explanation of Solution
Given:
The amount of force required to completely submerge the sphere,
Density of the sphere,
Formula Used:
Here,
Calculations:
Let the mass of the sphere be m .
700 N force is required to keep the sphere fully submerged. This can be expressed in the form of following equation:
Conclusion:
Thus, the weight of the sphere in the air is
(c)
To Find: The volume of the sphere.
(c)
Explanation of Solution
Given:
Weight of the sphere in the air,
Density of the sphere,
Formula Used:
Volume of the sphere can be obtained by:
Calculations:
Mass of the sphere is:
Volume of the sphere can be calculated as follows:
Conclusion:
Thus, the volume of the sphere is
Chapter 13 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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