Answer:
Explanation:
Let x₀ be the amplitude , ω be the angular velocity
velocity at displacement x ,
v = ω 
at 
v = ω [ 
v² = ω² x
1/2 m v²
= 3/8 m x ω²x₀²
Total energy = 1/2 m ω²x₀²
Kinetic energy as fraction of total energy
= 3/8 m x ω²x₀² x 2 / m ω²x₀²
= 3 / 4
Fraction of potential energy
= 1 - 3/4
1/4
c )
Half kinetic = half potential energy
= 1/4 m ω²x₀²
1/2 m ω²( x₀²- x ² )
x₀²/2 = x₀²- x ²
x² = x₀²/2
x = x₀/√2
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Answer:
Answer: Science and technology are relatively modern developments. For most of the past 50,000 years of civilization, there was religion, dogma, ritual an tradition. These kept civilization safe but prevented growth.
After the modern scientific method was developed during the Rennaisance, civil action took off.
Health, as expressed as life expectancies, has increased massively. Population growth has increased to levels thought impossible before. But yes, the environment has suffered.
Answer:
L = 7 [cm]
Explanation:
To solve this problem we must analyze each of the distances mentioned and take into account the number of covers and thicknesses of these.
The worm crosses through the sheets of the first book, this distance can be determined by the following length analysis.
4 = P + 2*C
Where:
P = thicknesses of the pages [cm]
C = thicknesses of each cover [cm]
P = 4 - 2*(0.5)
P = 3 [cm]
The distance crossed was:
L = P + 2C + P "the pages of the first book + 2 covers + the pages of the second book"
L = 3 + (2*0.5) + 3
L = 7 [cm]
