Answer:
The speed of proton when it emerges through the hole in the positive plate is
.
Explanation:
Given that,
A parallel-plate capacitor is held at a potential difference of 250 V.
A A proton is fired toward a small hole in the negative plate with a speed of, ![u=3\times 10^5\ m/s](https://tex.z-dn.net/?f=u%3D3%5Ctimes%2010%5E5%5C%20m%2Fs)
We need to find the speed when it emerges through the hole in the positive plate. It can be calculated using the conservation of energy as :
![qV=\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2\\\\1.6\times10^{-19}\times250=\dfrac{1}{2}mv^2-\frac{1}{2}\cdot1.67\times10^{-27}\cdot(3\times10^{5})^{2}\\\\\dfrac{1}{2}mv^2=3.515\cdot10^{-17}\\\\v=\sqrt{\dfrac{3.515\cdot10^{-17}\cdot2}{1.67\times10^{-27}}}\\\\v=2.05\times 10^5\ m/s](https://tex.z-dn.net/?f=qV%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2-%5Cdfrac%7B1%7D%7B2%7Dmu%5E2%5C%5C%5C%5C1.6%5Ctimes10%5E%7B-19%7D%5Ctimes250%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2-%5Cfrac%7B1%7D%7B2%7D%5Ccdot1.67%5Ctimes10%5E%7B-27%7D%5Ccdot%283%5Ctimes10%5E%7B5%7D%29%5E%7B2%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%3D3.515%5Ccdot10%5E%7B-17%7D%5C%5C%5C%5Cv%3D%5Csqrt%7B%5Cdfrac%7B3.515%5Ccdot10%5E%7B-17%7D%5Ccdot2%7D%7B1.67%5Ctimes10%5E%7B-27%7D%7D%7D%5C%5C%5C%5Cv%3D2.05%5Ctimes%2010%5E5%5C%20m%2Fs)
So, the speed of proton when it emerges through the hole in the positive plate is
.
The answer is deflation...have a good day
Answer:
In space we feel weightlessness because the earth's gravity has less effect on us. The Earth's gravitational attraction at those altitudes is only about 11% less than it is at the Earth's surface. If you had a ladder that could reach as high as the shuttle's orbit, your weight would be 11% less at the top.
Explanation:
Hope this helps:)
Answer:
![m_1=8\ kg,\ m_2=6\ kg,\ v_1=12\ m/s, v_2=4\ m/s,\ v_1'=-6\ m/s,\ v_2'=28\ m/s](https://tex.z-dn.net/?f=m_1%3D8%5C%20kg%2C%5C%20m_2%3D6%5C%20kg%2C%5C%20v_1%3D12%5C%20m%2Fs%2C%20v_2%3D4%5C%20m%2Fs%2C%5C%20v_1%27%3D-6%5C%20m%2Fs%2C%5C%20v_2%27%3D28%5C%20m%2Fs)
Explanation:
<u>Conservation of Momentum
</u>
The total momentum of a system of two particles is
![p=m_1v_1+m_2v_2](https://tex.z-dn.net/?f=p%3Dm_1v_1%2Bm_2v_2)
Where m1,m2,v1, and v2 are the respective masses and velocities of the particles at a given time. Then, the two particles collide and change their velocities to v1' and v2'. The final momentum is now
![p'=m_1v_1'+m_2v_2'](https://tex.z-dn.net/?f=p%27%3Dm_1v_1%27%2Bm_2v_2%27)
The momentum is conserved if no external forces are acting on the system, thus
![m_1v_1+m_2v_2=m_1v_1'+m_2v_2'](https://tex.z-dn.net/?f=m_1v_1%2Bm_2v_2%3Dm_1v_1%27%2Bm_2v_2%27)
Let's put some numbers in the problem and say
![m_1=8\ kg,\ m_2=6\ kg,\ v_1=12\ m/s, v_2=4\ m/s,\ v_1'=-6\ m/s,\ v_2'=28\ m/s](https://tex.z-dn.net/?f=m_1%3D8%5C%20kg%2C%5C%20m_2%3D6%5C%20kg%2C%5C%20v_1%3D12%5C%20m%2Fs%2C%20v_2%3D4%5C%20m%2Fs%2C%5C%20v_1%27%3D-6%5C%20m%2Fs%2C%5C%20v_2%27%3D28%5C%20m%2Fs)
![(8)(12)+(6)(4)=(8)(-6)+(6)(28)](https://tex.z-dn.net/?f=%288%29%2812%29%2B%286%29%284%29%3D%288%29%28-6%29%2B%286%29%2828%29)
![96+24=-48+168](https://tex.z-dn.net/?f=96%2B24%3D-48%2B168)
120=120
It means that when the particles collide, the first mass returns at 6 m/s and the second continues in the same direction at 28 m/s