A boy 11.0 m above the ground in a tree throws a ball for his dog, who is standing right below the tree and starts running the i
1 answer:
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Answer:
Volume of the sample: approximately .
Average density of the sample: approximately .
Assumption:
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- Volume of the cord is negligible.
Explanation:
<h3>Total volume of the sample</h3>The size of the buoyant force is equal to .
That's also equal to the weight (weight, ) of water that the object displaces. To find the mass of water displaced from its weight, divide weight with
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Assume that the density of water is . To the volume of water displaced from its mass, divide mass with density
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Assume that the volume of the cord is negligible. Since the sample is fully-immersed in water, its volume should be the same as the volume of water it displaces.
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Average density is equal to mass over volume.
To find the mass of the sample from its weight, divide with .
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The volume of the sample is found in the previous part.
Divide mass with volume to find the average density.
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Answer:
the maximum mass that can hang without sinking is 2.93 kg
Explanation:
Given: details:
sphere diameter d = 20 cm
so, radius r = 10 cm = 0.10 m
density of the Styrofoam sphere D = 300 kg/m3
sphere volume
=4.18*10^{-3} m^3
we know that
mass M = Density * Volume
= (300)(4.18*10^{-3} m3)
=1.25 kg
mass of the water displace = volume *density of water
= 4.18*10^{-3} m3 * 1000
= 4.18 kg
The difference between the mass of water and mass of styrofoam is the amount of mass that the sphere can support
=4.18 kg -1.25 kg
= 2.93 kg