Answer:
S = V0 t + 1/2 a t^2 net distance traveled
5.2 = a/2 * 25
a = 10.4 / 25 = ,416 m / s^2
F = m * a
m = F / a = 24 / .416 = 57.7 N
Answer:
this density is in the range of Peridotite type rocks
Explanation:
In this graduated cylinder exercise we can directly read the volume of the rock
V = (35 - 30) cm³
V = 5 cm³
They also indicate the mass of the rock
m = 15.5 gr.
Density is defined as the ratio of mass to volume
ρ = 15.5 / 5
ρ= 3.1 gr /cm³
When checking the attached table this density is in the range of Peridotite type rocks
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:
f = 96.56 Hz
Explanation:
A soda bottle can be simulated by a system of a tube with one end open and the other closed. In this case at the closed end we have a node and at the open end a maximum, so the wavelength is
λ = 4L / n
where n = 1, 3, 5, ...
for our case the speed of sound is
v = λ f
we substitute
f / v = 4L / n
calculate
290 / (340 4) = L / n
0.213 = L / n
In the exercise the value of n is not indicated, but we can assume that it is the fundamental answer, therefore n = 1
L = 0.213 m
now we can calculate the frequency of the following resonance n = 3
f = 4L v / n
f = 4 0.213 340/3
f = 96.56 Hz
The amount of energy transferred is 4320 J
Explanation:
Power is defined as the amount of energy transferred per unit of time:
![P=\frac{E}{t}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BE%7D%7Bt%7D)
where
P is the power
E is the amount of energy transferred
t is the time
In this problem, we have:
P = 720 W is the power
t = 6 s is the time elapsed
Solving for E, we find the energy transferred needed to push the box:
![E=Pt=(720)(6)=4320 J](https://tex.z-dn.net/?f=E%3DPt%3D%28720%29%286%29%3D4320%20J)
Learn more about power:
brainly.com/question/7956557
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