Answer:
<em>600N(downwards)</em>
Explanations
<em>600N(downwards)</em>
Mas of the person = 60kg
Acceleration due to gravity = -10m/s²
To get the earths pull on the person, we will use the Newton second law of motion;
Force = mass * acceleration;
Force = 60 * -10
Force- -600N
<em>Hence the earth gravitational pull on the person is 600N(downwards). It is downwards due to the negative sign.</em>
<em></em>
I can only offer you one which is mushroom. They're fungus' and they can't produce their own food. They get their food from decaying and dead animals and absorb it through their roots.
Answer:
![6.9\times 10^{28}m^{-3}](https://tex.z-dn.net/?f=6.9%5Ctimes%2010%5E%7B28%7Dm%5E%7B-3%7D)
Explanation:
We are given that
Diameter of wire=d=4.12 mm
Radius of wire=r![r=\frac{d}{2}=\frac{4.12}{2}=2.06mm=2.06\times 10^{-3} m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B4.12%7D%7B2%7D%3D2.06mm%3D2.06%5Ctimes%2010%5E%7B-3%7D%20m)
![1mm=10^{-3} m](https://tex.z-dn.net/?f=1mm%3D10%5E%7B-3%7D%20m)
Current=I=8 A
Drift velocity=![v_d=5.4\times 10^{-5} m/s](https://tex.z-dn.net/?f=v_d%3D5.4%5Ctimes%2010%5E%7B-5%7D%20m%2Fs)
We have to find the density of free electrons in the metal
We know that
Density of electron=![n=\frac{I}{v_deA}](https://tex.z-dn.net/?f=n%3D%5Cfrac%7BI%7D%7Bv_deA%7D)
Using the formula
Density of free electrons=![\frac{8}{5.4\times 10^{-5}\times 1.6\times 10^{-19}\times 3.14\times (2.06\times 10^{-3})^2}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5.4%5Ctimes%2010%5E%7B-5%7D%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%5Ctimes%203.14%5Ctimes%20%282.06%5Ctimes%2010%5E%7B-3%7D%29%5E2%7D)
By using Area of wire=![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
![\pi=3.14\\e=1.6\times 10^{-19} C](https://tex.z-dn.net/?f=%5Cpi%3D3.14%5C%5Ce%3D1.6%5Ctimes%2010%5E%7B-19%7D%20C)
Density of free electrons=![6.9\times 10^{28}m^{-3}](https://tex.z-dn.net/?f=6.9%5Ctimes%2010%5E%7B28%7Dm%5E%7B-3%7D)
Answer:
78.498N
Explanation:
The Net force provided by the spinnaker can be obtained from Newton's second law of motion as follows;
![F=\frac{m(v-u)}{t}................(1)](https://tex.z-dn.net/?f=F%3D%5Cfrac%7Bm%28v-u%29%7D%7Bt%7D................%281%29)
where m is the mass, v is the final velocity, u is the initial velocity and t is the time interval for which the force acted.
Given;
m =980lb
v = 12mi/h
u =8mi/hr
t = 10s.
It is important to convert all quantities to their SI units where necessary, so we do that as follows;
1lb = 0.45kg,
hence 980lb = 980 x 0.45kg = 441kg.
1mile = 1609.34m
1hour = 3600s,
therefore;
![8mi/h=\frac{8*1609.34m}{3600s}=3.58m/s](https://tex.z-dn.net/?f=8mi%2Fh%3D%5Cfrac%7B8%2A1609.34m%7D%7B3600s%7D%3D3.58m%2Fs)
![12mi/h=\frac{12*1609.34m}{3600s}=5.36m/s](https://tex.z-dn.net/?f=12mi%2Fh%3D%5Cfrac%7B12%2A1609.34m%7D%7B3600s%7D%3D5.36m%2Fs)
Substituting all values into equation (1), we obtain the following;
![F=\frac{441(5.36-3.58)}{10}\\F=\frac{441*1.78}{10}\\F=\frac{784.98}{10}\\F=78.498N](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B441%285.36-3.58%29%7D%7B10%7D%5C%5CF%3D%5Cfrac%7B441%2A1.78%7D%7B10%7D%5C%5CF%3D%5Cfrac%7B784.98%7D%7B10%7D%5C%5CF%3D78.498N)
Answer:
The distance from the Sun to Neptune is 29,41 AU.
Explanation:
We know, from the sentence, that the orbit of Neptune has an average diameter around 8.80*10⁹km.
Now, we can calculate the radius of this orbit, which is equivalent to the distance from thsi planet to the Sun. Let's recall tha the radius is the half of the diameter.
![R=\frac{8.80\cdot 10^{9}}{2}=4.4\cdot 10^{9}km=4.4\cdot 10^{12}m](https://tex.z-dn.net/?f=R%3D%5Cfrac%7B8.80%5Ccdot%2010%5E%7B9%7D%7D%7B2%7D%3D4.4%5Ccdot%2010%5E%7B9%7Dkm%3D4.4%5Ccdot%2010%5E%7B12%7Dm)
Ok, we know that 1.496*10¹¹m is an AU, therefore we have:
![4.4\cdot 10^{12}m\cdot \frac{1 AU}{1.496\cdot 10^{11}}=29,41 AU](https://tex.z-dn.net/?f=4.4%5Ccdot%2010%5E%7B12%7Dm%5Ccdot%20%5Cfrac%7B1%20AU%7D%7B1.496%5Ccdot%2010%5E%7B11%7D%7D%3D29%2C41%20AU)
Finally, the distance R is 29,41 AU.
I hope it helps you! :)