Answer: A
Explanation: We know that f=p*n
f=50*300=15000 Hz = 15kHz.
Have a great day! <3
The answer would be c because it is talking about she wants to be in a good neighborhood
Answer:
3.28 cm
Explanation:
To solve this problem, you need to know that a magnetic field B perpendicular to the movement of a proton that moves at a velocity v will cause a Force F experimented by the particle that is orthogonal to both the velocity and the magnetic Field. When a particle experiments a Force orthogonal to its velocity, the path it will follow will be circular. The radius of said circle can be calculated using the expression:
r = ![\frac{mv}{qB}](https://tex.z-dn.net/?f=%5Cfrac%7Bmv%7D%7BqB%7D)
Where m is the mass of the particle, v is its velocity, q is its charge and B is the magnitude of the magnetic field.
The mass and charge of a proton are:
m = 1.67 * 10^-27 kg
q = 1.6 * 10^-19 C
So, we get that the radius r will be:
r =
= 0.0328 m, or 3.28 cm.
Explanation:
It is given that,
Average power per unit mass generated by Lance, ![\dfrac{P}{m}=6.5\ W/kg](https://tex.z-dn.net/?f=%5Cdfrac%7BP%7D%7Bm%7D%3D6.5%5C%20W%2Fkg)
![P=6.5\times 75=487.5\ W](https://tex.z-dn.net/?f=P%3D6.5%5Ctimes%2075%3D487.5%5C%20W)
(a) Distance to cover race, ![d = 160\ km =160\times 10^3\ m](https://tex.z-dn.net/?f=d%20%3D%20160%5C%20km%20%3D160%5Ctimes%2010%5E3%5C%20m)
Average speed of the person, v = 11 m/s
If t is the time taken to cover the race.
![t=\dfrac{d}{v}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bd%7D%7Bv%7D)
![t=\dfrac{160\times 10^3\ m}{11\ m/s}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B160%5Ctimes%2010%5E3%5C%20m%7D%7B11%5C%20m%2Fs%7D)
t = 14545.46 s
Let W is the work done. The relation between the work done and the power is given by :
![P=\dfrac{W}{t}](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7BW%7D%7Bt%7D)
![W=P\times t](https://tex.z-dn.net/?f=W%3DP%5Ctimes%20t)
![W=487.5\times 14545.46](https://tex.z-dn.net/?f=W%3D487.5%5Ctimes%2014545.46%20)
W = 7090911.75 J
(b) Since, ![1\ J=2.389\times 10^{-4}\ calories](https://tex.z-dn.net/?f=1%5C%20J%3D2.389%5Ctimes%2010%5E%7B-4%7D%5C%20calories)
So, in 7090911.75 J, ![W=7090911.75 \times 2.389\times 10^{-4}](https://tex.z-dn.net/?f=W%3D7090911.75%20%5Ctimes%202.389%5Ctimes%2010%5E%7B-4%7D)
W = 1694.01 J
Hence, this is the required solution.
A free electron is one which has become detached from a covalent bond between two atoms and is able to move around from atom to atom and possibly take part in electric current flow.