The answer is as voltage increases current increases and therefore resistance would remain constant
Answer
160,72N
Explanation
W=mg
=(16.4)(9.8)
Answer:
Acceleration, ![a=9.36\times 10^{18}\ m/s^2](https://tex.z-dn.net/?f=a%3D9.36%5Ctimes%2010%5E%7B18%7D%5C%20m%2Fs%5E2)
Explanation:
It is given that,
Speed of electron, ![v=8\times 10^6\ m/s](https://tex.z-dn.net/?f=v%3D8%5Ctimes%2010%5E6%5C%20m%2Fs)
Charge on an electron, ![q=1.6\times 10^{-19}\ C](https://tex.z-dn.net/?f=q%3D1.6%5Ctimes%2010%5E%7B-19%7D%5C%20C)
Mass of electron, ![m=9.1\times 10^{-31}\ kg](https://tex.z-dn.net/?f=m%3D9.1%5Ctimes%2010%5E%7B-31%7D%5C%20kg)
Magnetic field, ![B=5.5i-3.7j](https://tex.z-dn.net/?f=B%3D5.5i-3.7j)
Magnitude,
Magnetic force is given by :
![F=qvB](https://tex.z-dn.net/?f=F%3DqvB)
Also, F = ma
![a=\dfrac{qvB}{m}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BqvB%7D%7Bm%7D)
![a=\dfrac{1.6\times 10^{-19}\times 8\times 10^6\times 6.66}{9.1\times 10^{-31}}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B1.6%5Ctimes%2010%5E%7B-19%7D%5Ctimes%208%5Ctimes%2010%5E6%5Ctimes%206.66%7D%7B9.1%5Ctimes%2010%5E%7B-31%7D%7D)
![a=9.36\times 10^{18}\ m/s^2](https://tex.z-dn.net/?f=a%3D9.36%5Ctimes%2010%5E%7B18%7D%5C%20m%2Fs%5E2)
So, the acceleration of the electron is
. Hence, this is the required solution.
Answer:
<h2>80,000 J</h2>
Explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 10 m/s²
From the question we have
PE = 250 × 10 × 32
We have the final answer as
<h3>80,000 J</h3>
Hope this helps you
Answer:
13.5 m
Explanation:
M = Mass of cart = 500 kg
m = Ann's mass = 50 kg
= Velocity of Ann relative to cart = 5 m/s
= Velocity of Cart relative to Ann
As the linear momentum of the system is conserved
![Mv_M+mv_m=0\\\Rightarrow v_M=-\frac{mv_m}{M}\\\Rightarrow v_M=-\frac{50\times 5}{500}\\\Rightarrow v_M=-0.5\ m/s](https://tex.z-dn.net/?f=Mv_M%2Bmv_m%3D0%5C%5C%5CRightarrow%20v_M%3D-%5Cfrac%7Bmv_m%7D%7BM%7D%5C%5C%5CRightarrow%20v_M%3D-%5Cfrac%7B50%5Ctimes%205%7D%7B500%7D%5C%5C%5CRightarrow%20v_M%3D-0.5%5C%20m%2Fs)
Time taken to reach the right end by Ann
![Time=\frac{Distance}{Speed}\\\Rightarrow Time=\frac{15}{5}=3\ s](https://tex.z-dn.net/?f=Time%3D%5Cfrac%7BDistance%7D%7BSpeed%7D%5C%5C%5CRightarrow%20Time%3D%5Cfrac%7B15%7D%7B5%7D%3D3%5C%20s)
Distance the cart will move in the 3 seconds
![Distance=Speed\times Time\\\Rightarrow Distance=-0.5\times 3=-1.5\ m](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time%5C%5C%5CRightarrow%20Distance%3D-0.5%5Ctimes%203%3D-1.5%5C%20m)
The negative sign indicates opposite direction
Movement of Ann will be the sum of the distances
![15+(-1.5)=13.5\ m](https://tex.z-dn.net/?f=15%2B%28-1.5%29%3D13.5%5C%20m)
The net movement of Ann is 13.5 m