(a)
The volume of the block in cubic meters.
(a)
Answer to Problem 3SP
The volume of the block in cubic meters is
Explanation of Solution
Given info: The density of the steel block is
Write the expression to find the volume of the block.
Here,
Substitute
Conclusion:
Therefore, the volume of the block in cubic meters is
(b)
The mass of the block.
(b)
Answer to Problem 3SP
The mass of the block is
Explanation of Solution
Write the expression to find the mass of the block when the density of the block is known.
Here,
Substitute
Conclusion:
Therefore, the mass of the block is
(c)
The weight of the block.
(c)
Answer to Problem 3SP
The weight of the block is
Explanation of Solution
Write the equation to find the weight of the block.
Here,
Substitute
Conclusion:
Therefore, the weight of the block is
(d)
The buoyant force acting on the block.
(d)
Answer to Problem 3SP
The buoyant force acting on the block is
Explanation of Solution
The buoyant force acting on the block is defined as equal to the weight of the water displaced.
Write the equation to find the buoyant force.
Here,
Substitute
Conclusion:
Therefore, the buoyant force acting on the block is
(e)
The tension in the string needed to hold the block in place.
(e)
Answer to Problem 3SP
The tension in the string needed to hold the block in place is
Explanation of Solution
Write the expression of Newton’s first law of motion using the total forces acting on the block to find the tension on the string.
Here,
Substitute
Conclusion:
Therefore, the tension in the string needed to hold the block in place is
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