Answer:
The answer is given below
Explanation:
u is the initial velocity, v is the final velocity. Given that:
![m_1=0.6kg,u_1=-5m/s(moving \ west),m_2=0.8kg,u_2=2m/s,k=1200N/m](https://tex.z-dn.net/?f=m_1%3D0.6kg%2Cu_1%3D-5m%2Fs%28moving%20%5C%20west%29%2Cm_2%3D0.8kg%2Cu_2%3D2m%2Fs%2Ck%3D1200N%2Fm)
a)
The final velocity of cart 1 after collision is given as:
![v_1=(\frac{m_1-m_2}{m_1+m_2})u_1+\frac{2m_2}{m_1+m_2}u_2\\ Substituting:\\v_1=\frac{0.6-0.8}{0.6+0.8} (-5)+\frac{2*0.8}{0.6+0.8}(2)= 5/7+16/7=3\ m/s](https://tex.z-dn.net/?f=v_1%3D%28%5Cfrac%7Bm_1-m_2%7D%7Bm_1%2Bm_2%7D%29u_1%2B%5Cfrac%7B2m_2%7D%7Bm_1%2Bm_2%7Du_2%5C%5C%20%20Substituting%3A%5C%5Cv_1%3D%5Cfrac%7B0.6-0.8%7D%7B0.6%2B0.8%7D%20%28-5%29%2B%5Cfrac%7B2%2A0.8%7D%7B0.6%2B0.8%7D%282%29%3D%205%2F7%2B16%2F7%3D3%5C%20m%2Fs)
The final velocity of cart 2 after collision is given as:
![v_2=(\frac{m_2-m_1}{m_1+m_2})u_2+\frac{2m_1}{m_1+m_2}u_1\\ Substituting:\\v_1=\frac{0.8-0.6}{0.6+0.8} (2)+\frac{2*0.6}{0.6+0.8}(-5)= 2/7-30/7=-4\ m/s](https://tex.z-dn.net/?f=v_2%3D%28%5Cfrac%7Bm_2-m_1%7D%7Bm_1%2Bm_2%7D%29u_2%2B%5Cfrac%7B2m_1%7D%7Bm_1%2Bm_2%7Du_1%5C%5C%20%20Substituting%3A%5C%5Cv_1%3D%5Cfrac%7B0.8-0.6%7D%7B0.6%2B0.8%7D%20%282%29%2B%5Cfrac%7B2%2A0.6%7D%7B0.6%2B0.8%7D%28-5%29%3D%202%2F7-30%2F7%3D-4%5C%20m%2Fs)
b) Using the law of conservation of energy:
![\frac{1}{2}m_1u_1+ \frac{1}{2}m_2u_2=\frac{1}{2}m_1v_1+\frac{1}{2}m_2v_2+\frac{1}{2}kx^2\\x=\sqrt{\frac{m_1u_1+m_2u_2-m_1v_1-m_2v_2}{k}}\\ Substituting\ gives:\\x=\sqrt{\frac{0.6*(-5)^2+0.8*2^2-(0.6*3^2)-(0.8*(-4)^2)}{1200}}=\sqrt{0}=0\ cm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm_1u_1%2B%20%5Cfrac%7B1%7D%7B2%7Dm_2u_2%3D%5Cfrac%7B1%7D%7B2%7Dm_1v_1%2B%5Cfrac%7B1%7D%7B2%7Dm_2v_2%2B%5Cfrac%7B1%7D%7B2%7Dkx%5E2%5C%5Cx%3D%5Csqrt%7B%5Cfrac%7Bm_1u_1%2Bm_2u_2-m_1v_1-m_2v_2%7D%7Bk%7D%7D%5C%5C%20Substituting%5C%20gives%3A%5C%5Cx%3D%5Csqrt%7B%5Cfrac%7B0.6%2A%28-5%29%5E2%2B0.8%2A2%5E2-%280.6%2A3%5E2%29-%280.8%2A%28-4%29%5E2%29%7D%7B1200%7D%7D%3D%5Csqrt%7B0%7D%3D0%5C%20cm)
the answer in my opinion would be A
Time taken by the water balloon to reach the bottom will be given as
![h = \frac{1}{2} gt^2](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20gt%5E2)
here we know that
![h = 18 m](https://tex.z-dn.net/?f=h%20%3D%2018%20m)
![g = 9.8 m/s^2](https://tex.z-dn.net/?f=g%20%3D%209.8%20m%2Fs%5E2)
now by the above formula
![18 = \frac{1}{2}*9.8* t^2](https://tex.z-dn.net/?f=18%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A9.8%2A%20t%5E2)
![18 = 4.9 t^2](https://tex.z-dn.net/?f=18%20%3D%204.9%20t%5E2)
![t = 1.92 s](https://tex.z-dn.net/?f=t%20%3D%201.92%20s)
now in the same time interval we can say the distance moved by it will be
![d = v_x * t](https://tex.z-dn.net/?f=d%20%3D%20v_x%20%2A%20t)
![d = 8.2 * 1.92 = 15.7 m](https://tex.z-dn.net/?f=d%20%3D%208.2%20%2A%201.92%20%3D%2015.7%20m)
so it will fall at a distance 15.7 m from its initial position
Answer and Explanation:
Polar molecules are formed as a result of unequal sharing of electrons by the atoms in the molecule which creates polarization like that in water molecule.
If the electrons are shared equally by the atoms in the molecule then there won't be any polarization of the molecule and the molecule is non polar.
Electro-negativity is that property of an atom which lets it attract negative charges, i.e., electrons. The more the electro-negativity of an atom in the molecule the more are the chances of its polarization.
Answer:à
Explanation:waves carry energy in the direction in which they move