Answer:
a) ΔL/L = F / (E A), b)
= L (1 + L F /(EA) )
Explanation:
Let's write the formula for Young's module
E = P / (ΔL / L)
Let's rewrite the formula, to have the pressure alone
P = E ΔL / L
The pressure is defined as
P = F / A
Let's replace
F / A = E ΔL / L
F = E A ΔL / L
ΔL / L = F / (E A)
b) To calculate the elongation we must have the variation of the length, so the length of the bar must be a fact. Let's clear
ΔL = L [F / EA]
-L = L (F / EA)
= L + L (F / EA)
= L (1 + L (F / EA))
Answer;
-Gases
Explanation;
-Pressure can affect the density of gases.
-Density of gases changes with pressure and temperature because gases are compressible fluid and because they are compressible, when pressure increases molecules come closer to each other which means increase in density and when pressure drops molecules of gases become free to expand and get away from each other which density decrease.
Answer:
68kg
Explanation:
1 cm^3 is the same as 1 mL and there are 5000mL in 5L
Therefore if the density is 13.6g/mL we multiply 13.6 by 5000 to get the amount of grams required = 68000g which is 68kg
6 is the answer I remember the answer from when I took this and it was easy
Recall that average velocity is equal to change in position over a given time interval,
![\vec v_{\rm ave} = \dfrac{\Delta \vec r}{\Delta t}](https://tex.z-dn.net/?f=%5Cvec%20v_%7B%5Crm%20ave%7D%20%3D%20%5Cdfrac%7B%5CDelta%20%5Cvec%20r%7D%7B%5CDelta%20t%7D)
so that the <em>x</em>-component of
is
![\dfrac{x_2 - (-2.25\,\mathrm m)}{1.60\,\mathrm s} = 2.70\dfrac{\rm m}{\rm s}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_2%20-%20%28-2.25%5C%2C%5Cmathrm%20m%29%7D%7B1.60%5C%2C%5Cmathrm%20s%7D%20%3D%202.70%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D)
and its <em>y</em>-component is
![\dfrac{y_2 - 5.70\,\mathrm m}{1.60\,\mathrm s} = -2.50\dfrac{\rm m}{\rm s}](https://tex.z-dn.net/?f=%5Cdfrac%7By_2%20-%205.70%5C%2C%5Cmathrm%20m%7D%7B1.60%5C%2C%5Cmathrm%20s%7D%20%3D%20-2.50%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D)
Solve for
and
, which are the <em>x</em>- and <em>y</em>-components of the copter's position vector after <em>t</em> = 1.60 s.
![x_2 = -2.25\,\mathrm m + \left(2.70\dfrac{\rm m}{\rm s}\right)(1.60\,\mathrm s) \implies \boxed{x_2 = 2.07\,\mathrm m}](https://tex.z-dn.net/?f=x_2%20%3D%20-2.25%5C%2C%5Cmathrm%20m%20%2B%20%5Cleft%282.70%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29%281.60%5C%2C%5Cmathrm%20s%29%20%5Cimplies%20%5Cboxed%7Bx_2%20%3D%202.07%5C%2C%5Cmathrm%20m%7D)
![y_2 = 5.70\,\mathrm m + \left(-2.50\dfrac{\rm m}{\rm s}\right)(1.60\,\mathrm s) \implies \boxed{y_2 = 1.70\,\mathrm m}](https://tex.z-dn.net/?f=y_2%20%3D%205.70%5C%2C%5Cmathrm%20m%20%2B%20%5Cleft%28-2.50%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29%281.60%5C%2C%5Cmathrm%20s%29%20%5Cimplies%20%5Cboxed%7By_2%20%3D%201.70%5C%2C%5Cmathrm%20m%7D)
Note that I'm reading the given details as
![x_1 = -2.25\,\mathrm m \\\\ y_1 = -5.70\,\mathrm m \\\\ v_x = 2.70\dfrac{\rm m}{\rm s}\\\\ v_y=-2.50\dfrac{\rm m}{\rm s}](https://tex.z-dn.net/?f=x_1%20%3D%20-2.25%5C%2C%5Cmathrm%20m%20%5C%5C%5C%5C%20y_1%20%3D%20-5.70%5C%2C%5Cmathrm%20m%20%5C%5C%5C%5C%20v_x%20%3D%202.70%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5C%5C%5C%5C%20v_y%3D-2.50%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D)
so if any of these are incorrect, you should make the appropriate adjustments to the work above.