Answer:
a. 0.143 mm b. 77.6 rad/m c. 483.18 rad/s d. +1
Explanation:
a. ym
Since the amplitude is 0.143 mm, ym = amplitude = 0.143 mm
b. k
We know k = wave number = 2π/λ where λ = wavelength.
Also, λ = v/f where v = speed of wave in string = √(T/μ) where T = tension in string = 19.3 N and μ = mass per unit length = 5.12 g/cm = 5.12 ÷ 1000 kg/(1 ÷ 100 m) = 0.512 kg/m and f = frequency = 76.9 Hz.
So, λ = v/f = √(T/μ)/f
substituting the values of the variables into the equation, we have
λ = √(T/μ)/f
= √(19.6 N/0.512 kg/m)/76.9 Hz
= √(38.28 Nkg/m)/76.9 Hz
= 6.187 m/s ÷ 76.9 Hz
= 0.081 m
= 81 mm
So, k = 2π/λ
= 2π/0.081 m
= 77.6 rad/m
c. ω
ω = angular frequency = 2πf where f = frequency of wave = 76.9 Hz
So, ω = 2πf
= 2π × 76.9 Hz
= 483.18 rad/s
d. The correct choice of sign in front of ω?
Since the wave is travelling in the negative x - direction, the sign in front of ω is positive. That is +1.
Answer:
1 million dollars once
Explanation:
Well, both would be nice. In total, you will get more from the million dollars because it takes over 2,739 years to get 1 million dollars worth of pennies.(if you get 1 a day that is)
Auroras are frequently seen : B. After solar flares
The Aurora is created by an ongoing influx of particles into the Earth's existing magnetic field,
This particles originated from the Sun as part of Solar wind
hope this helps
Very good question, The answer you might be looking for is 7.467m/s^2.
Have a blessed day God bless.
The gravitational force is 1.98×10^20 m.
Computation of gravitational force:
The gravitational force F between two masses is given by the formula,
F=Gm1m2/ r^2
where G is the gravitational constant.
Note: It is assumed m1=5.972×10^24 kg, m2=7.348×10^22 kg and r=3.84×10^8 m and G=6.67×10^(-11) N m^2 kg^-2
Then F=(6.67×10^(-11)×5.972×10^(24)×7.348×10^(22))/ (3.84×10^8)
F=1.98×10^(20) N
Check out more about gravitational force here:
brainly.com/question/13054973
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