Answer with explanation:
We are given that
Mass of ball,
75 g=![\frac{75}{1000}=0075kg](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B1000%7D%3D0075kg)
1 kg=1000 g
Height,![h_1=1.6 m](https://tex.z-dn.net/?f=h_1%3D1.6%20m)
![h_2=0.6 m](https://tex.z-dn.net/?f=h_2%3D0.6%20m)
Horizontal velocity,![v_x=2 m/s](https://tex.z-dn.net/?f=v_x%3D2%20m%2Fs)
Mass of plate![m_2=400 g=\frac{400}{1000}=0.4 kg](https://tex.z-dn.net/?f=m_2%3D400%20g%3D%5Cfrac%7B400%7D%7B1000%7D%3D0.4%20kg)
a.Initial velocity of plate,![u_2=0](https://tex.z-dn.net/?f=u_2%3D0)
Velocity before impact=![u_1=\sqrt{2gh_1}=\sqrt{2\times 9.8\times 1.6}=5.6m/s](https://tex.z-dn.net/?f=u_1%3D%5Csqrt%7B2gh_1%7D%3D%5Csqrt%7B2%5Ctimes%209.8%5Ctimes%201.6%7D%3D5.6m%2Fs)
Where ![g=9.8 m/s^2](https://tex.z-dn.net/?f=g%3D9.8%20m%2Fs%5E2)
Velocity after impact,![v_1=\sqrt{2gh_2}=\sqrt{2\times 9.8\times 0.6}=3.4m/s](https://tex.z-dn.net/?f=v_1%3D%5Csqrt%7B2gh_2%7D%3D%5Csqrt%7B2%5Ctimes%209.8%5Ctimes%200.6%7D%3D3.4m%2Fs)
According to law of conservation of momentum
![m_1u_1+m_2u_1=-m_1v_1+m_2v_2](https://tex.z-dn.net/?f=m_1u_1%2Bm_2u_1%3D-m_1v_1%2Bm_2v_2)
Substitute the values
![0.075\times 5.6+0=-0.075\times 3.4+0.4v_2](https://tex.z-dn.net/?f=0.075%5Ctimes%205.6%2B0%3D-0.075%5Ctimes%203.4%2B0.4v_2)
![0.4v_2=0.075\times 5.6+0.075\times 3.4](https://tex.z-dn.net/?f=0.4v_2%3D0.075%5Ctimes%205.6%2B0.075%5Ctimes%203.4)
![v_2=\frac{0.075\times 5.6+0.075\times 3.4}{0.4}=1.69 m/s](https://tex.z-dn.net/?f=v_2%3D%5Cfrac%7B0.075%5Ctimes%205.6%2B0.075%5Ctimes%203.4%7D%7B0.4%7D%3D1.69%20m%2Fs)
Velocity of plate=1.69 m/s
b.Initial energy=![\frac{1}{2}m_1v^2_x+m_1gh_1=\frac{1}{2}(0.075)(2^2)+0.075\times 9.8\times 1.6=1.326 J](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm_1v%5E2_x%2Bm_1gh_1%3D%5Cfrac%7B1%7D%7B2%7D%280.075%29%282%5E2%29%2B0.075%5Ctimes%209.8%5Ctimes%201.6%3D1.326%20J)
Final energy=![\frac{1}{2}m_1v^2_x+m_1gh_2+\frac{1}{2}m_2v^2_2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm_1v%5E2_x%2Bm_1gh_2%2B%5Cfrac%7B1%7D%7B2%7Dm_2v%5E2_2)
Final energy=![\frac{1}{2}(0.075)(2^2)+0.075\times 9.8\times 0.6+\frac{1}{2}(0.4)(1.69)^2=1.162 J](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%280.075%29%282%5E2%29%2B0.075%5Ctimes%209.8%5Ctimes%200.6%2B%5Cfrac%7B1%7D%7B2%7D%280.4%29%281.69%29%5E2%3D1.162%20J)
Energy lost due to compact=Initial energy-final energy=1.326-1.162=0.164 J
The formula for frequency is f = 1/T where f is frequency and T is period in seconds.
You have you period which is 0.008s and that is all you will need to solve or frequency in a wave:
f = 1/2
f = 1/0.008s
f = 125Hz
Coke has more fizz than Pepsi, because Coke has more carbonation in it. Pepsi contains more sugar (2 more tablespoons) than Coke, so it tastes slightly sweeter to many people.
Answer:
petroleum and Natural gas are fossil fuels
Explanation:
I think its E. the control rods are used to control <span>the fission rate of uranium and plutonium. Hope this helps!! </span>