<span>The change in the electron's potential energy is equal to the work done on the electron by the electric field. The electron's potential energy is the stored energy relative to the electron's position in the electric field. Vcloud - Vground represents the change in Voltage. This voltage quantity is given to be 3.50 x 10^8 V, with the electron at the lower potential. The formula for calculating the change in the electron's potential energy (EPE) is found by charge x (Vcloud - Vground) = (EPEcloud - EPE ground) where charge is constant = 1.6 x 10^-19. Filling in the known quantities results in the expression 1.6 x 10^-19 (3.50 x 10^8) = (EPEcloud - EPEground) = 5.6 x 10^-11. Therefore, the change in the electron's potential energy from cloud to ground is 5.6 x 10^-11 joules.</span>
Answer:
![\Delta K=0.07969 J - 0.0849 J = -0.00521 J](https://tex.z-dn.net/?f=%5CDelta%20K%3D0.07969%20J%20-%200.0849%20J%20%3D%20-0.00521%20J)
Explanation:
According to the law of conservation of linear momentum, the total momentum of both pucks won't be changed regardless of their interaction if no external forces are acting on the system.
Being
and
the masses of pucks a and b respectively, the initial momentum of the system is
![M_1=m_av_a+m_bv_b](https://tex.z-dn.net/?f=M_1%3Dm_av_a%2Bm_bv_b)
Since b is initially at rest
![M_1=m_av_a](https://tex.z-dn.net/?f=M_1%3Dm_av_a)
After the collision and being
and
the respective velocities, the total momentum is
![M_2=m_av'_a+m_bv'_b](https://tex.z-dn.net/?f=M_2%3Dm_av%27_a%2Bm_bv%27_b)
Both momentums are equal, thus
Solving for ![v_a](https://tex.z-dn.net/?f=v_a)
![v_a=\frac{m_av'_a+m_bv'_b}{m_a}](https://tex.z-dn.net/?f=v_a%3D%5Cfrac%7Bm_av%27_a%2Bm_bv%27_b%7D%7Bm_a%7D)
![v_a=\frac{0.254Kg\times (-0.123 m/s)+0.367Kg (0.651m/s)}{0.254Kg}](https://tex.z-dn.net/?f=v_a%3D%5Cfrac%7B0.254Kg%5Ctimes%20%28-0.123%20m%2Fs%29%2B0.367Kg%20%280.651m%2Fs%29%7D%7B0.254Kg%7D)
The initial kinetic energy can be found as (provided puck b is at rest)
![K_1=\frac{1}{2}m_av_a^2](https://tex.z-dn.net/?f=K_1%3D%5Cfrac%7B1%7D%7B2%7Dm_av_a%5E2)
![K_1=\frac{1}{2}(0.254Kg) (0.8176m/s)^2=0.0849 J](https://tex.z-dn.net/?f=K_1%3D%5Cfrac%7B1%7D%7B2%7D%280.254Kg%29%20%280.8176m%2Fs%29%5E2%3D0.0849%20J)
The final kinetic energy is
![K_2=\frac{1}{2}m_av_a'^2+\frac{1}{2}m_bv_b'^2](https://tex.z-dn.net/?f=K_2%3D%5Cfrac%7B1%7D%7B2%7Dm_av_a%27%5E2%2B%5Cfrac%7B1%7D%7B2%7Dm_bv_b%27%5E2)
![K_2=\frac{1}{2}0.254Kg (-0.123m/s)^2+\frac{1}{2}0.367Kg (0.651m/s)^2=0.07969 J](https://tex.z-dn.net/?f=K_2%3D%5Cfrac%7B1%7D%7B2%7D0.254Kg%20%28-0.123m%2Fs%29%5E2%2B%5Cfrac%7B1%7D%7B2%7D0.367Kg%20%280.651m%2Fs%29%5E2%3D0.07969%20J)
The change of kinetic energy is
![\Delta K=0.07969 J - 0.0849 J = -0.00521 J](https://tex.z-dn.net/?f=%5CDelta%20K%3D0.07969%20J%20-%200.0849%20J%20%3D%20-0.00521%20J)
If light travels from oil to water at an angle, what happens to the direction of the light ray in water with respect to the normal, is it moves away from the normal.
Answer:
She was a success.
i don't think commas are necessary because it's not a compound or complicated sentence.