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Mazyrski [523]
3 years ago
15

A block of wood measuring 2.75 cm x 4.80 cm x 7.50 cm has a mass of 84.0 g. will the block of wood sink or float in water?

Physics
1 answer:
KIM [24]3 years ago
6 0
The volume of the block of wood is given by length × width ×height
 = 2.75 × 4.80 × 7.5
 = 99 cm³
Density is given by mass/volume
Thus = 84.0 g/ 99 cm³
         = 0.848 g/cm³
Hence;  since the block is less dense than water (1 g/cm³) it will float
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Here we go.
My abbreviations; KE = Kinetic Energy; GPE = Gravitational Potential Energy.

So first off, we know the fish has KE right when the bird releases it. Why? Because it has horizontal velocity after released! So let’s calculate it:
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Nice!
We also know that the fish has GPE at its maximum height before release:
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Now, based on the *queue dramatic voice* LAW OF CONSERVATION OF ENERGY, we know all of the initial energy of the fish will be equal to the amount of final energy. And since the only form of energy when it hits the water is KE, we can write:
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(Remember - we found the initial energies before!)
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And that’s you’re final answer! Notice how this value is MORE than the initial KE from before (324 J) - this is because all of the initial GPE from before was transformed into more KE as the fish fell (h decreased) and sped up (V increased).

If this helped please like it and comment!
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