Answer:
n = 1,732 the amplitude must be increased by a factor of 1,732
Explanation:
The power delivered by a wave is given by
P = E / t
P = ½ μ w² v A²
let's apply this expression to our case the power tripled
3P₀ = ½ μ w² v A’²
let's write the amplitude function of a initial amplitude
A ’= n A₀
where n is a number
3 P₀ = (½ μy w² v A₀²) n²
3P₀ = P₀ n²
n = √ 3
n = 1,732
therefore the amplitude must be increased by a factor of 1,732
Hello!
During the forging process for a steel sword, when the blacksmith places a hot iron blank into a cold bucket water A) The water molecules move faster.
The iron blank molecules are at a higher temperature and move faster than the water molecules, which are colder. When the blacksmith places the hot iron blank into the water bucket, heat is transferred from the hot iron blank to the cold water causing water molecules to move faster, as their temperature (and kinetic energy) increases. This is described by the Second Law of Thermodynamics.
Answer:
0.14 J
Explanation:
The maximum velocity is the amplitude times the angular frequency.
vmax = Aω
ω = vmax / A
ω = (3.2 m/s) / (0.06 m)
ω = 53.3 rad/s
For a spring-mass system:
ω = √(k / m)
ω² = k / m
k = ω²m
k = (53.3 rad/s)² (0.050 kg)
k = 142 N/m
The elastic potential energy is:
EE = ½ kx²
EE = ½ (142 N/m) (0.044 m)²
EE = 0.14 J
Answer:
The car's angular speed is 
.
Explanation:
Angular velocity is usually measured with 
, so I'm going to use that to answer your question.
The relationship between tangential velocity and angular velocity (ω) is given by:
Using the values from the question, we get:
Therefore, the car's angular speed is 
.
Hope this helped!
