In this case the rubber raft has horizontal and vertical motion.
Considering vertical motion first.
We have displacement
, u = Initial velocity, t = time taken, a = acceleration.
In vertical motion
s = 1960 m, u = 0 m/s, a = 9.81 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
![1960 = 0*t+\frac{1}{2} *9.81*t^2\\ \\ t = 20 seconds](https://tex.z-dn.net/?f=1960%20%3D%200%2At%2B%5Cfrac%7B1%7D%7B2%7D%20%2A9.81%2At%5E2%5C%5C%20%5C%5C%20t%20%3D%2020%20seconds)
So raft will take 20 seconds to reach ground.
Now considering horizontal motion of raft
u = 109 m/s, t = 20 s, a = 0![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
So ![s = 109*20+\frac{1}{2} *0*20^2 = 2180 m](https://tex.z-dn.net/?f=s%20%3D%20109%2A20%2B%5Cfrac%7B1%7D%7B2%7D%20%2A0%2A20%5E2%20%3D%202180%20m)
So shipwreck was 2180 meter far away from the plane when the raft was dropped.
Answer:
The combined magnetic force of the magnetized wire coil and iron bar makes an electromagnet very strong. In fact, electromagnets are the strongest magnets made. An electromagnet is stronger if there are more turns in the coil of wire or there is more current flowing through it.
Answer:
![\mathbf{\beta = 123.75 \ dB}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cbeta%20%3D%20123.75%20%5C%20dB%7D)
Explanation:
From the question, using the expression:
![125 \ dB = 10 \ log (\dfrac{I}{I_o})](https://tex.z-dn.net/?f=125%20%5C%20dB%20%3D%2010%20%5C%20log%20%28%5Cdfrac%7BI%7D%7BI_o%7D%29)
where;
![I_o = 10^{-12} \ W/m^2](https://tex.z-dn.net/?f=I_o%20%3D%2010%5E%7B-12%7D%20%5C%20W%2Fm%5E2)
![I = 10^{12.5} \times 10^{-12} \ W/m^2](https://tex.z-dn.net/?f=I%20%3D%2010%5E%7B12.5%7D%20%5Ctimes%2010%5E%7B-12%7D%20%5C%20W%2Fm%5E2)
![I = 3.162 \ W/m^2](https://tex.z-dn.net/?f=I%20%3D%203.162%20%5C%20W%2Fm%5E2)
This is a combined intensity of 4 speakers.
Thus, the intensity of 3 speakers = ![\dfrac{3.162\times 3}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B3.162%5Ctimes%203%7D%7B4%7D)
= 2.372 W/m²
Thus;
![\beta = 10 \ log ( \dfrac{2.372}{10^{-12}} ) \ W/m^2](https://tex.z-dn.net/?f=%5Cbeta%20%3D%2010%20%5C%20%20log%20%28%20%5Cdfrac%7B2.372%7D%7B10%5E%7B-12%7D%7D%20%29%20%5C%20W%2Fm%5E2)
![\mathbf{\beta = 123.75 \ dB}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cbeta%20%3D%20123.75%20%5C%20dB%7D)