Answer:
Explanation:
Velocity of a wave is describe as
velocity =Frequency × Wavelength
Mathematically
v = fλ
Hence, Frequency, F = v / λ
Wavelength λ = v/f
So, if the frequency is kept constant, wavelength of the wave becomes directly proportional to velocity of the wave.
And this implies that, as the speed double, the wavelength is double.
It is helpful to study the light that comes off stars because C. The light from a star gives hints of what elements make up a star.
Explanation:
It is given that,
Mass of Millersburg Ferry, m = 13000 kg
Velocity, v = 11 m/s
Applied force, F = 10⁶ N
Time period, t = 20 seconds
(a) Impulse is given by the product of force and time taken i.e.
![J=F.\Delta t](https://tex.z-dn.net/?f=J%3DF.%5CDelta%20t)
![J=10^6\ N\times 20\ s](https://tex.z-dn.net/?f=J%3D10%5E6%5C%20N%5Ctimes%2020%5C%20s)
![J=2\times 10^7\ N-s](https://tex.z-dn.net/?f=J%3D2%5Ctimes%2010%5E7%5C%20N-s)
(b) Impulse is also given by the change in momentum i.e.
![J=\Delta p=p_f-p_i](https://tex.z-dn.net/?f=J%3D%5CDelta%20p%3Dp_f-p_i)
![J=p_f-p_i](https://tex.z-dn.net/?f=J%3Dp_f-p_i)
![p_f=J+p_i](https://tex.z-dn.net/?f=p_f%3DJ%2Bp_i)
![p_f=2\times 10^7\ N-s+13000\ kg\times 11\ m/s](https://tex.z-dn.net/?f=p_f%3D2%5Ctimes%2010%5E7%5C%20N-s%2B13000%5C%20kg%5Ctimes%2011%5C%20m%2Fs)
![p_f=20143000\ kg-m/s](https://tex.z-dn.net/?f=p_f%3D20143000%5C%20kg-m%2Fs)
(c) For new velocity,
![v_f=\dfrac{p_f}{m}](https://tex.z-dn.net/?f=v_f%3D%5Cdfrac%7Bp_f%7D%7Bm%7D)
![v_f=\dfrac{20143000\ kg-m/s}{13000\ kg}](https://tex.z-dn.net/?f=v_f%3D%5Cdfrac%7B20143000%5C%20kg-m%2Fs%7D%7B13000%5C%20kg%7D)
![v_f=1549.46\ m/s](https://tex.z-dn.net/?f=v_f%3D1549.46%5C%20m%2Fs)
Hence, this is the required solution.
They will occupy less volume which will cause an increased density of the particles.
Answer:
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