Answer:
308657
Explanation:
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Frequency, f, is how many cycles of an oscillation occur per second and is measured in cycles per second or hertz (Hz). The period of a wave, T, is the amount of time it takes a wave to vibrate one full cycle. These two terms are inversely proportional to each other: f = 1/T and T = 1/f.

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Answer:
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Explanation:
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Answer: 500 Watts
Explanation:
Power
is the speed with which work
is done. Its unit is Watts (
), being
.
Power is mathematically expressed as:
(1)
Where
is the time during which work
is performed.
On the other hand, the Work
done by a Force
refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path. It is a scalar magnitude, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter (
).
When the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is:
(2)
In this case, we have the following data:



So, let's calculate the work done by Peter and then find how much power is involved:
From (2):
(3)
(4)
Substituting (4) in (1):
(5)
Finally:
Answer:
9.38 m/s
Explanation:
Mass is conserved.
m₁ = m₂
ρ₁ Q₁ = ρ₂ Q₂
Assuming no change in density:
Q₁ = Q₂
v₁ A₁ = v₂ A₂
v₁ π r₁² = v₂ π r₂²
v₁ r₁² = v₂ r₂²
Plugging in values:
(1.50 m/s) (0.0250 m)² = v (0.0100 m)²
v = 9.38 m/s