Work done = force * distance
work done = 200 * 20
work done = 4000J
Answer:
Acceleration, ![a=9.91\times 10^{15}\ m/s^2](https://tex.z-dn.net/?f=a%3D9.91%5Ctimes%2010%5E%7B15%7D%5C%20m%2Fs%5E2)
Explanation:
It is given that,
Separation between the protons, ![r=3.73\ nm=3.73\times 10^{-9}\ m](https://tex.z-dn.net/?f=r%3D3.73%5C%20nm%3D3.73%5Ctimes%2010%5E%7B-9%7D%5C%20m)
Charge on protons, ![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 protons, ![m=1.67\times 10^{-27}\ kg](https://tex.z-dn.net/?f=m%3D1.67%5Ctimes%2010%5E%7B-27%7D%5C%20kg)
We need to find the acceleration of two isolated protons. It can be calculated by equating electric force between protons and force due to motion as :
![ma=\dfrac{kq^2}{r^2}](https://tex.z-dn.net/?f=ma%3D%5Cdfrac%7Bkq%5E2%7D%7Br%5E2%7D)
![a=9.91\times 10^{15}\ m/s^2](https://tex.z-dn.net/?f=a%3D9.91%5Ctimes%2010%5E%7B15%7D%5C%20m%2Fs%5E2)
So, the acceleration of two isolated protons is
. Hence, this is the required solution.
Answer:
acceleration = v-u /t
30- 20/5
= 10/5 = 2m/sec²
Force = mass * acceleration
Force = 0.1 * 2
Force = 0.2 Newton
The centripetal acceleration is ![13.0 m/s^2](https://tex.z-dn.net/?f=13.0%20m%2Fs%5E2)
Explanation:
For an object in uniform circular motion, the centripetal acceleration is given by
![a=\frac{v^2}{r}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv%5E2%7D%7Br%7D)
where
v is the speed of the object
r is the radius of the circle
The speed of the object is equal to the ratio between the length of the circumference (
) and the period of revolution (T), so it can be rewritten as
![v=\frac{2\pi r}{T}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2%5Cpi%20r%7D%7BT%7D)
Therefore we can rewrite the acceleration as
![a=\frac{4\pi^2 r}{T^2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B4%5Cpi%5E2%20r%7D%7BT%5E2%7D)
For the particle in this problem,
r = 2.06 cm = 0.0206 m
While it makes 4 revolutions each second, so the period is
![T=\frac{1}{4}s = 0.25 s](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B1%7D%7B4%7Ds%20%3D%200.25%20s)
Substituting into the equation, we find the acceleration:
![a=\frac{4\pi^2 (0.0206)}{0.25^2}=13.0 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B4%5Cpi%5E2%20%280.0206%29%7D%7B0.25%5E2%7D%3D13.0%20m%2Fs%5E2)
Learn more about centripetal acceleration:
brainly.com/question/2562955
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