Answer:
3690 Newton
Explanation:
By using the F=ma formula we can find the Force if we know the mass and acceleration, so:
F= 180kg*20.5m/s^2
F=3690 kg*m/s^2 or 3690N
To determine the distance (d) traveled by a body given its speed (S) and the time (t). Use the equation,
S = d / t ; d = S x t
Substituting the known values to the equation,
d = (4 m/s ) x (40 s) = 160 m
Thus, the person will travel 160 meters in 40 seconds.
Answer:
a = 603.59 m/s^2
Explanation:
from the data given . the rate of change in magnetic field is as follow
![\frac{dB}{dt} = 280 G/s = 280 \times 10^{-4} T/s](https://tex.z-dn.net/?f=%5Cfrac%7BdB%7D%7Bdt%7D%20%3D%20280%20G%2Fs%20%3D%20280%20%5Ctimes%2010%5E%7B-4%7D%20T%2Fs)
from the faraday's law of induction , the expression for the induced emf in region of radius r as follow
![\epsilon = \frac{d \phi}{dt}](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%20%5Cfrac%7Bd%20%5Cphi%7D%7Bdt%7D)
![\int E.dl = \frac{d(BA)}{dt}](https://tex.z-dn.net/?f=%5Cint%20E.dl%20%3D%20%5Cfrac%7Bd%28BA%29%7D%7Bdt%7D)
![E(2\pi r)= \pi r^2 \frac{dB}{dt}](https://tex.z-dn.net/?f=E%282%5Cpi%20r%29%3D%20%5Cpi%20r%5E2%20%5Cfrac%7BdB%7D%7Bdt%7D)
![E = \frac{r}{2} \frac{dB}{dt}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Br%7D%7B2%7D%20%5Cfrac%7BdB%7D%7Bdt%7D)
electric field at point P_1 as follow
![E = \frac{r}{2} \frac{dB}{dt}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Br%7D%7B2%7D%20%5Cfrac%7BdB%7D%7Bdt%7D)
![E = \frac{1.5\times 10^{-2}}{2} 280 \times 10^{-4}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1.5%5Ctimes%2010%5E%7B-2%7D%7D%7B2%7D%20280%20%5Ctimes%2010%5E%7B-4%7D)
![E = 6.3\times 10^{-6} V/m](https://tex.z-dn.net/?f=E%20%3D%206.3%5Ctimes%2010%5E%7B-6%7D%20V%2Fm)
from newton 2nd law of motion, the acceleration of proton is
F = ma
qE = ma
![a = \frac{qE}{m}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7BqE%7D%7Bm%7D)
![a = \frac{1.6 \times 10^{-19} (6.3\times 10^{-6})}{1.67\times 10^{-27}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B1.6%20%5Ctimes%2010%5E%7B-19%7D%20%286.3%5Ctimes%2010%5E%7B-6%7D%29%7D%7B1.67%5Ctimes%2010%5E%7B-27%7D%7D)
a = 603.59 m/s^2
Answer:
1.7 × 10^11 Pa
Explanation:
Please see the attachments below
The time taken by traveler to cover the distance is,
![t=\frac{d}{v}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bv%7D)
Substitute the known values,
![\begin{gathered} t=\frac{(11000\text{ ft)}}{(84\text{ mph)(}\frac{1.46667\text{ ft/s}}{1\text{ mph}})_{}} \\ \approx89.3\text{ s} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B%2811000%5Ctext%7B%20ft%29%7D%7D%7B%2884%5Ctext%7B%20mph%29%28%7D%5Cfrac%7B1.46667%5Ctext%7B%20ft%2Fs%7D%7D%7B1%5Ctext%7B%20mph%7D%7D%29_%7B%7D%7D%20%5C%5C%20%5Capprox89.3%5Ctext%7B%20s%7D%20%5Cend%7Bgathered%7D)
Therefore, the time taken by traveler to cover the distance is 89.3 s.