When a force is applied to a car, the change in motion is proportional to the force divided by the mass of the car.
Answer:
A longitudinal wave is a wave where the displacement of the medium is in the same direction than the propagation of the wave.
This means that as a P wave travels through the Earth, the relative motion between the p wave and the particles is near zero, as the motion of the particles is parallel to the motion of the wave.
An example of this would be the waves generated when you throw a rock in water, you can see how the water particles move along the waves in the water.
Given:
Inductance, L = 150 mH
Capacitance, C = 5.00 mF
= 240 V
frequency, f = 50Hz
= 100 mA
Solution:
To calculate the parameters of the given circuit series RLC circuit:
angular frequency,
= ![2\pi f = 2\pi \times50 = 100\pi](https://tex.z-dn.net/?f=2%5Cpi%20f%20%3D%202%5Cpi%20%5Ctimes50%20%3D%20100%5Cpi%20)
a). Inductive reactance,
is given by:
![\X_{L} = \omega L = 100\pi \times 150\times 10^{-3} = 47.12\Omega](https://tex.z-dn.net/?f=%5CX_%7BL%7D%20%3D%20%5Comega%20L%20%3D%20100%5Cpi%20%5Ctimes%20150%5Ctimes%2010%5E%7B-3%7D%20%3D%2047.12%5COmega%20)
b). The capacitive reactance,
is given by:
![X_{C} = 0.636\Omega](https://tex.z-dn.net/?f=X_%7BC%7D%20%3D%200.636%5COmega)
c). Impedance, Z = ![\frac{\Delta V_{max}}{I_{max}} = \frac{240}{100\times 10^{-3}} = 2400\Omega](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20V_%7Bmax%7D%7D%7BI_%7Bmax%7D%7D%20%3D%20%5Cfrac%7B240%7D%7B100%5Ctimes%2010%5E%7B-3%7D%7D%20%3D%202400%5COmega%20)
![Z = 2400\Omega](https://tex.z-dn.net/?f=Z%20%3D%202400%5COmega)
d). Resistance, R is given by:
![2400^{2} = R^{2} + (47.12 - 0.636)^{2}](https://tex.z-dn.net/?f=2400%5E%7B2%7D%20%3D%20R%5E%7B2%7D%20%2B%20%2847.12%20-%200.636%29%5E%7B2%7D)
![R = \sqrt {5757839.238}](https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%20%7B5757839.238%7D)
![R = 2399.5\Omega](https://tex.z-dn.net/?f=R%20%3D%202399.5%5COmega)
e). Phase angle between current and the generator voltage is given by:
![tan\phi = \frac{X_{L} - X_{C}}{R}](https://tex.z-dn.net/?f=tan%5Cphi%20%3D%20%5Cfrac%7BX_%7BL%7D%20-%20X_%7BC%7D%7D%7BR%7D)
![\phi =tan^{-1}( \frac{X_{L} - X_{C}}{R})](https://tex.z-dn.net/?f=%5Cphi%20%3Dtan%5E%7B-1%7D%28%20%5Cfrac%7BX_%7BL%7D%20-%20X_%7BC%7D%7D%7BR%7D%29)
![\phi =tan^{-1}( \frac{47.12 - 0.636}{2399.5}) = tan^{-1}{0.0.01937}](https://tex.z-dn.net/?f=%5Cphi%20%3Dtan%5E%7B-1%7D%28%20%5Cfrac%7B47.12%20-%200.636%7D%7B2399.5%7D%29%20%3D%20tan%5E%7B-1%7D%7B0.0.01937%7D)
![\phi = 1.11^{\circ}](https://tex.z-dn.net/?f=%5Cphi%20%3D%201.11%5E%7B%5Ccirc%7D)
Answer:
n = 3.26
Explanation:
given,
human need 380 W of power to walking 5 Km/hr
human body 380 J of energy per second for walking 5 Km/h
speed of human 5 x 0.278 = 1.39 m/s
for walking 1.39 m energy required = 380 J
distance traveled in 3 hours of walking
d = 1.39 x 3 x 3600
d = 15012 m
energy needed
![E = \dfrac{380}{1.39}\times 15012](https://tex.z-dn.net/?f=E%20%3D%20%5Cdfrac%7B380%7D%7B1.39%7D%5Ctimes%2015012)
E = 4,104,000 J
now,
one pizza slice give 1260000 J pf energy
slice of pizza
![n = \dfrac{4104000}{1260000}](https://tex.z-dn.net/?f=n%20%3D%20%5Cdfrac%7B4104000%7D%7B1260000%7D)
n = 3.26