Vi = 2m/s
a= 4.5 m/s
d= 340 m
vf= ?
use this equation ... vf^2=vi<span>^2+2ad
you should get vf = 55.3
hope this helps </span>
Answer:
If the starting GPE is doubled than it's KE would also double.
Answer:
55,42 J
Explanation:
Since the height of the room is 3.45 m (distance between the floor and the ceiling) the difference between this value and the length of the rope 1.19 m; it will be equal to (3.45-1.19) =2.26 m. If we take as a reference point (Ep=0) the floor of the room, then the potential energy will be equal to Ep = M * g * h, replacing values in this equation (2.5 kg * 9.81 m/s2 * 2.26 m) will be 55,42 (N * m) or Jules.
Answer:
Part a)
![W = 1.58 \times 10^{-20} J](https://tex.z-dn.net/?f=W%20%3D%201.58%20%5Ctimes%2010%5E%7B-20%7D%20J)
Part b)
![v = 1.86 \times 10^5 m/s](https://tex.z-dn.net/?f=v%20%3D%201.86%20%5Ctimes%2010%5E5%20m%2Fs)
Explanation:
Part a)
Electric field due to large sheet is given as
![E = \frac{\sigma}{2\epsilon_0}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B%5Csigma%7D%7B2%5Cepsilon_0%7D)
![\sigma = 4.00 \times 10^{-12} C/m^2](https://tex.z-dn.net/?f=%5Csigma%20%3D%204.00%20%5Ctimes%2010%5E%7B-12%7D%20C%2Fm%5E2)
now the electric field is given as
![E = \frac{4.00 \times 10^{-12}}{2(8.85 \times 10^{-12})}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B4.00%20%5Ctimes%2010%5E%7B-12%7D%7D%7B2%288.85%20%5Ctimes%2010%5E%7B-12%7D%29%7D)
![E = 0.225 N/C](https://tex.z-dn.net/?f=E%20%3D%200.225%20N%2FC)
Now acceleration of an electron due to this electric field is given as
![a = \frac{eE}{m}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7BeE%7D%7Bm%7D)
![a = \frac{(1.6 \times 10^{-19})(0.225)}{9.1 \times 10^{-31}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B%281.6%20%5Ctimes%2010%5E%7B-19%7D%29%280.225%29%7D%7B9.1%20%5Ctimes%2010%5E%7B-31%7D%7D)
![a = 3.97 \times 10^{10}](https://tex.z-dn.net/?f=a%20%3D%203.97%20%5Ctimes%2010%5E%7B10%7D)
Now work done on the electron due to this electric field
![W = F.d](https://tex.z-dn.net/?f=W%20%3D%20F.d)
![d = 0.470 - 0.03](https://tex.z-dn.net/?f=d%20%3D%200.470%20-%200.03)
![d = 0.44 m](https://tex.z-dn.net/?f=d%20%3D%200.44%20m)
So work done is given as
![W = (ma)(0.44)](https://tex.z-dn.net/?f=W%20%3D%20%28ma%29%280.44%29)
![W = (9.11 \times 10^{-31})(3.97 \times 10^{10})(0.44)](https://tex.z-dn.net/?f=W%20%3D%20%289.11%20%5Ctimes%2010%5E%7B-31%7D%29%283.97%20%5Ctimes%2010%5E%7B10%7D%29%280.44%29)
![W = 1.58 \times 10^{-20} J](https://tex.z-dn.net/?f=W%20%3D%201.58%20%5Ctimes%2010%5E%7B-20%7D%20J)
Part b)
Now we know that work done by all forces = change in kinetic energy of the electron
so we will have
![W = \frac{1}{2}mv^2 - 0](https://tex.z-dn.net/?f=W%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2%20-%200)
![1.58 \times 10^{-20} = \frac{1}{2}(9.1\times 10^{-31})v^2](https://tex.z-dn.net/?f=1.58%20%5Ctimes%2010%5E%7B-20%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%289.1%5Ctimes%2010%5E%7B-31%7D%29v%5E2)
![v = 1.86 \times 10^5 m/s](https://tex.z-dn.net/?f=v%20%3D%201.86%20%5Ctimes%2010%5E5%20m%2Fs)