Answer:
The Euler buckling load of a 160-cm-long column will be 1.33 times the Euler buckling load of an equivalent 120-cm-long column.
Explanation:
160 - 120 = 40
120 = 100
40 = X
40 x 100 / 120 = X
4000 / 120 = X
33.333 = X
120 = 100
160 = X
160 x 100 /120 = X
16000 / 120 = X
133.333 = X
Answer:
Compute the number of gold atoms per cubic centimeter = 9.052 x 10^21 atoms/cm3
Explanation:
The step by step and appropriate substitution is as shown in the attachment.
From number of moles = Concentration x volume
number of moles = number of particles/ Avogadro's number
Volume = mass/density, the appropriate derivation to get the number of moles of atoms
Answer:
![\vec F_{A} = -67500\,N\cdot (i + j)](https://tex.z-dn.net/?f=%5Cvec%20F_%7BA%7D%20%3D%20-67500%5C%2CN%5Ccdot%20%28i%20%2B%20j%29)
Explanation:
The position of each point are the following:
![A = (0\,m,0\,m,0\,m), B = (0.02\,m,0\,m,0\,m), C = (0\,m,0.02\,m,0\,m)](https://tex.z-dn.net/?f=A%20%3D%20%280%5C%2Cm%2C0%5C%2Cm%2C0%5C%2Cm%29%2C%20B%20%3D%20%280.02%5C%2Cm%2C0%5C%2Cm%2C0%5C%2Cm%29%2C%20C%20%3D%20%280%5C%2Cm%2C0.02%5C%2Cm%2C0%5C%2Cm%29)
Since the three objects report charges with same sign, then, net force has a repulsive nature. The net force experimented by point charge A is:
![\vec F_{A} = \vec F_{AB} + \vec F_{AC}](https://tex.z-dn.net/?f=%5Cvec%20F_%7BA%7D%20%3D%20%5Cvec%20F_%7BAB%7D%20%2B%20%5Cvec%20F_%7BAC%7D)
![\vec F_{A} = -\frac{k\cdot q^{2}}{r_{AB}^{2}}\cdot i - \frac{k\cdot q^{2}}{r_{AC}^{2}}\cdot j](https://tex.z-dn.net/?f=%5Cvec%20F_%7BA%7D%20%3D%20-%5Cfrac%7Bk%5Ccdot%20q%5E%7B2%7D%7D%7Br_%7BAB%7D%5E%7B2%7D%7D%5Ccdot%20i%20-%20%5Cfrac%7Bk%5Ccdot%20q%5E%7B2%7D%7D%7Br_%7BAC%7D%5E%7B2%7D%7D%5Ccdot%20j)
![\vec F_{A} = - \frac{k\cdot q^{2}}{r^{2}} \cdot (i + j)](https://tex.z-dn.net/?f=%5Cvec%20F_%7BA%7D%20%3D%20-%20%5Cfrac%7Bk%5Ccdot%20q%5E%7B2%7D%7D%7Br%5E%7B2%7D%7D%20%5Ccdot%20%28i%20%2B%20j%29)
![\vec F_{A} = -\frac{(9 \times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} )\cdot (3\times 10^{-9}\,C)}{(0.02\,m)^{2}}\cdot (i + j)](https://tex.z-dn.net/?f=%5Cvec%20F_%7BA%7D%20%3D%20-%5Cfrac%7B%289%20%5Ctimes%2010%5E%7B9%7D%5C%2C%5Cfrac%7BN%5Ccdot%20m%5E%7B2%7D%7D%7BC%5E%7B2%7D%7D%20%29%5Ccdot%20%283%5Ctimes%2010%5E%7B-9%7D%5C%2CC%29%7D%7B%280.02%5C%2Cm%29%5E%7B2%7D%7D%5Ccdot%20%28i%20%2B%20j%29)
![\vec F_{A} = -67500\,N\cdot (i + j)](https://tex.z-dn.net/?f=%5Cvec%20F_%7BA%7D%20%3D%20-67500%5C%2CN%5Ccdot%20%28i%20%2B%20j%29)