Here Change in Kinetic Energy
= Work Done by Friction
Therefore, substituting the
given values to the equation, we get
0.5 * m * (vFinal^2 -
vInitial^2) = µ m g * d
Therefore
0.5*( 5.90^2 - Vfinal^2 ) =
0.100*9.8*2.10
Therefore
vfinal = 5.54 m/sec
<span> </span>
Answer:
Explanation:
Given
mass of saturated liquid water ![m=1.4\ kg](https://tex.z-dn.net/?f=m%3D1.4%5C%20kg)
at
specific volume is
(From Table A-4,Saturated water Temperature table)
![V_1=m\nu _1](https://tex.z-dn.net/?f=V_1%3Dm%5Cnu%20_1)
![V_1=1.4\times 0.001157](https://tex.z-dn.net/?f=V_1%3D1.4%5Ctimes%200.001157)
![V_1=1.6198\times 10^{-3}\ m^3](https://tex.z-dn.net/?f=V_1%3D1.6198%5Ctimes%2010%5E%7B-3%7D%5C%20m%5E3)
Final Volume ![V_2=4V_1](https://tex.z-dn.net/?f=V_2%3D4V_1)
![V_2=4\times (1.6198\times 10^{-3})](https://tex.z-dn.net/?f=V_2%3D4%5Ctimes%20%281.6198%5Ctimes%2010%5E%7B-3%7D%29)
![V_2=6.4792\times 10^{-3}\ m^3](https://tex.z-dn.net/?f=V_2%3D6.4792%5Ctimes%2010%5E%7B-3%7D%5C%20m%5E3)
Specific volume at this stage
![\nu _2=\frac{V_2}{m}](https://tex.z-dn.net/?f=%5Cnu%20_2%3D%5Cfrac%7BV_2%7D%7Bm%7D)
![\nu _2=\frac{6.4792\times 10^{-3}}{1.4}](https://tex.z-dn.net/?f=%5Cnu%20_2%3D%5Cfrac%7B6.4792%5Ctimes%2010%5E%7B-3%7D%7D%7B1.4%7D)
![\nu _2=0.004628\ m^3/kg](https://tex.z-dn.net/?f=%5Cnu%20_2%3D0.004628%5C%20m%5E3%2Fkg)
Now we see the value and find the temperature it corresponds to specific volume at vapor stage in the table.
![T_2=T_1^{*}+\frac{T_2^{*}-T_1^{*}}{\alpha _2^{*}-\alpha _1^{*}}\times (\alpha _2-\alpha _1^{*})](https://tex.z-dn.net/?f=T_2%3DT_1%5E%7B%2A%7D%2B%5Cfrac%7BT_2%5E%7B%2A%7D-T_1%5E%7B%2A%7D%7D%7B%5Calpha%20_2%5E%7B%2A%7D-%5Calpha%20_1%5E%7B%2A%7D%7D%5Ctimes%20%28%5Calpha%20_2-%5Calpha%20_1%5E%7B%2A%7D%29)
![T_2=370^{\circ}+\frac{373.95-370}{0.003106-0.004953}\times (0.004628-0.004953)](https://tex.z-dn.net/?f=T_2%3D370%5E%7B%5Ccirc%7D%2B%5Cfrac%7B373.95-370%7D%7B0.003106-0.004953%7D%5Ctimes%20%280.004628-0.004953%29)
![T_2=370.7^{\circ} C](https://tex.z-dn.net/?f=T_2%3D370.7%5E%7B%5Ccirc%7D%20C)
Gravity is the natural force that causes things to fall toward the earth. (down)