Force Causes movement of an object, whereas Power is the work done on an object in a given amount of time.
<h3>What is Force?</h3>
In science, force is defined as the push or pull on an object that has mass which causes it to move (to accelerate).
The SI unit of force is newton, N. and its given as
Force(F)= mass × acceleration
Example of forces include
- Gravitational force
- Electric force
- Magnetic force
- Nuclear force
- Frictional force
<h3>What is Power?</h3>
Power is the rate at which work is being done on an object. It is also the rate at which energy is transferred from one place to another.
Power is the amount of work completed or energy released per unit time.
The SI unit for power is the watt (W), and is given as
Power = Work / time
P = W / t
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Using sum and difference identities from trigonometric identities shows that; Asin(ωt)cos(φ) +Acos(ωt)sin(φ) = Asin(ωt + φ)
<h3>How to prove Trigonometric Identities?</h3>
We know from sum and difference identities that;
sin (α + β) = sin(α)cos(β) + cos(α)sin(β)
sin (α - β) = sin(α)cos(β) - cos(α)sin(β)
c₂ = Acos(φ)
c₁ = Asin(φ)
The Pythagorean identity can be invoked to simplify the sum of squares:
c₁² + c₂² =
(Asin(φ))² + (Acos(φ))²
= A²(sin(φ)² +cos(φ)²)
= A² * 1
= A²
Using common factor as shown in the trigonometric identity above for Asin(ωt)cos(φ) +Acos(ωt)sin(φ) gives us; Asin(ωt + φ)
Complete Question is;
y(t) = distance of weight from equilibrium position
ω = Angular Frequency (measured in radians per second)
A = Amplitude
φ = Phase shift
c₂ = Acos(φ)
c₁ = Asin(φ)
Use the information above and the trigonometric identities to prove that
Asin(ωt + φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
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After Texas gained independence, its constitution was influenced by the Constitution of the United States.
<h3>When did Texas gain independence?</h3>
After fighting a war with Mexico, Texas eventually gained its independence in 1836.
Most of the people who fought in the war were Anglo-Texans or White Texans who had immigrated into the territory from the United States of America.
As a result, these people saw themselves more as American than anything and wanted to build a U.S. style democracy in the new nation of Texas.
The first way they did this was to model their constitution on that of the United States which is why the first Texan Constitution borrowed heavily from the U.S. Constitution.
In conclusion, the Texan constitution was inspired by the U.S. Constitution.
Find out more on the Texan Revolution at brainly.com/question/11434966.
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