Answer:
1) f= 8.6 GHz
2) t= 0.2 ms
Explanation:
1)
- Since microwaves are electromagnetic waves, they move at the same speed as the light in vacuum, i.e. 3*10⁸ m/s.
- There exists a fixed relationship between the frequency (f) , the wavelength (λ) and the propagation speed in any wave, as follows:
![v = \lambda * f (1)](https://tex.z-dn.net/?f=v%20%3D%20%5Clambda%20%2A%20f%20%281%29)
- Replacing by the givens, and solving for f, we get:
![f =\frac{c}{\lambda} =\frac{3e8m/s}{0.035m} = 8.57e9 Hz (2)](https://tex.z-dn.net/?f=f%20%3D%5Cfrac%7Bc%7D%7B%5Clambda%7D%20%3D%5Cfrac%7B3e8m%2Fs%7D%7B0.035m%7D%20%3D%208.57e9%20Hz%20%282%29)
⇒ f = 8.6 Ghz (with two significative figures)
2)
- Assuming that the microwaves travel at a constant speed in a straight line (behaving like rays) , we can apply the definition of average velocity, as follows:
where v= c= speed of light in vacuum = 3*10⁸ m/s
d= distance between mountaintops = 52 km = 52*10³ m
![t = \frac{d}{c} = \frac{52e3m}{3e8m/s} = 17.3e-5 sec = 0.173e-3 sec = 0.173 ms (4)](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bd%7D%7Bc%7D%20%3D%20%5Cfrac%7B52e3m%7D%7B3e8m%2Fs%7D%20%3D%2017.3e-5%20sec%20%3D%200.173e-3%20sec%20%3D%200.173%20ms%20%284%29)
⇒ t = 0.2 ms (with two significative figures)
Answer:
- The distance between the charges is 5,335.026 m
Explanation:
To obtain the forces between the particles, we can use Coulomb's Law in scalar form, this is, the force between the particles will be:
![F = k \frac{q_1 q_2}{d^2}](https://tex.z-dn.net/?f=F%20%3D%20k%20%5Cfrac%7Bq_1%20q_2%7D%7Bd%5E2%7D)
where k is Coulomb's constant,
and
are the charges and d is the distance between the charges.
Working a little the equation, we can take:
![d^2 = k \frac{q_1 q_2}{F}](https://tex.z-dn.net/?f=d%5E2%20%3D%20k%20%5Cfrac%7Bq_1%20q_2%7D%7BF%7D)
![d = \sqrt{ k \frac{q_1 q_2}{F}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%20k%20%5Cfrac%7Bq_1%20q_2%7D%7BF%7D%7D)
And this equation will give us the distance between the charges. Taking the values of the problem
![k= 9.00 \ 10^9 \frac{N \ m^2}{C^2} \\q_1 = 165.0 \mu C \\q_2 = 115.0 C\\F=- 6.00](https://tex.z-dn.net/?f=k%3D%209.00%20%5C%2010%5E9%20%5Cfrac%7BN%20%5C%20m%5E2%7D%7BC%5E2%7D%20%5C%5Cq_1%20%3D%20165.0%20%5Cmu%20C%20%5C%5Cq_2%20%3D%20115.0%20C%5C%5CF%3D-%206.00)
(the force has a minus sign, as its attractive)
![d = \sqrt{ 9.00 \ 10^9 \frac{N \ m^2}{C^2} \frac{(165.0 \mu C) (115.0 C)}{- 6.00 \ N}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%209.00%20%5C%2010%5E9%20%5Cfrac%7BN%20%5C%20m%5E2%7D%7BC%5E2%7D%20%5Cfrac%7B%28165.0%20%5Cmu%20C%29%20%28115.0%20C%29%7D%7B-%206.00%20%5C%20N%7D%7D)
![d = \sqrt{ 9.00 \ 10^9 \frac{N \ m^2}{C^2} \frac{(165.0 \mu C) (115.0 C)}{- 6.00 \ N}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%209.00%20%5C%2010%5E9%20%5Cfrac%7BN%20%5C%20m%5E2%7D%7BC%5E2%7D%20%5Cfrac%7B%28165.0%20%5Cmu%20C%29%20%28115.0%20C%29%7D%7B-%206.00%20%5C%20N%7D%7D)
![d = \sqrt{ 28,462,500 \ m^2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%2028%2C462%2C500%20%5C%20m%5E2%7D%7D)
![d = 5,335.026 m](https://tex.z-dn.net/?f=d%20%3D%205%2C335.026%20m)
And this is the distance between the charges.
Gravity is the force that pulls you down.
(This is kind of a duh! question ... How do we know
which way is "down" ? We feel gravity, and we call
that the "down" direction.)
Magnetic force holds things to fridge doors.
Contact forces need to touch something in order to
exert their force.
Example: Gravity is NOT a contact force.
I don't know about "rubbing things away".
This might be a description of friction, but if so,
it's not a good one.
Buoyant force is what keeps floating things floating.
Air resistance slows things down when they move in air.
1) 4min = 4*60 sec = 240 sec
2) Distance = speed times time = 3 * 240 = 720 m
Answer:
Explanation:
Oil cannot dissolve in water because oil molecules repel water molecules