Answer:
The ratio of electric force to the gravitational force is ![2.27\times 10^{39}](https://tex.z-dn.net/?f=2.27%5Ctimes%2010%5E%7B39%7D)
Explanation:
It is given that,
Distance between electron and proton, ![r=4.53\ A=4.53\times 10^{-10}\ m](https://tex.z-dn.net/?f=r%3D4.53%5C%20A%3D4.53%5Ctimes%2010%5E%7B-10%7D%5C%20m)
Electric force is given by :
![F_e=k\dfrac{q_1q_2}{r^2}](https://tex.z-dn.net/?f=F_e%3Dk%5Cdfrac%7Bq_1q_2%7D%7Br%5E2%7D)
Gravitational force is given by :
![F_g=G\dfrac{m_1m_2}{r^2}](https://tex.z-dn.net/?f=F_g%3DG%5Cdfrac%7Bm_1m_2%7D%7Br%5E2%7D)
Where
is mass of electron, ![m_1=9.1\times 10^{-31}\ kg](https://tex.z-dn.net/?f=m_1%3D9.1%5Ctimes%2010%5E%7B-31%7D%5C%20kg)
is mass of proton, ![m_2=1.67\times 10^{-27}\ kg](https://tex.z-dn.net/?f=m_2%3D1.67%5Ctimes%2010%5E%7B-27%7D%5C%20kg)
is charge on electron, ![q_1=-1.6\times 10^{-19}\ kg](https://tex.z-dn.net/?f=q_1%3D-1.6%5Ctimes%2010%5E%7B-19%7D%5C%20kg)
is charge on proton, ![q_2=1.6\times 10^{-19}\ kg](https://tex.z-dn.net/?f=q_2%3D1.6%5Ctimes%2010%5E%7B-19%7D%5C%20kg)
![\dfrac{F_e}{F_g}=\dfrac{kq_1q_2}{Gm_1m_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BF_e%7D%7BF_g%7D%3D%5Cdfrac%7Bkq_1q_2%7D%7BGm_1m_2%7D)
![\dfrac{F_e}{F_g}=\dfrac{9\times 10^9\times (1.6\times 10^{-19})^2}{6.67\times 10^{-11}\times 9.1\times 10^{-31}\times 1.67\times 10^{-27}}](https://tex.z-dn.net/?f=%5Cdfrac%7BF_e%7D%7BF_g%7D%3D%5Cdfrac%7B9%5Ctimes%2010%5E9%5Ctimes%20%281.6%5Ctimes%2010%5E%7B-19%7D%29%5E2%7D%7B6.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%209.1%5Ctimes%2010%5E%7B-31%7D%5Ctimes%201.67%5Ctimes%2010%5E%7B-27%7D%7D)
![\dfrac{F_e}{F_g}=2.27\times 10^{39}](https://tex.z-dn.net/?f=%5Cdfrac%7BF_e%7D%7BF_g%7D%3D2.27%5Ctimes%2010%5E%7B39%7D)
So, the ratio of electric force to the gravitational force is
. Hence, this is the required solution.
Answer:
1.95 kg
Explanation:
Momentum is conserved.
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
0 = (74.9) (-0.215) + m (8.25)
m = 1.95
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Answer:
Explanation:
Option a is correct
If puck and pick constitute a system then the momentum of the system is conserved but not this may not be valid for the puck .
Option e is correct
If puck and pick is the system then momentum is conserved but because of the presence of friction, mechanical energy is not conserved.
Friction will cause the energy to dissipate in heat.