Work is calculated by multiplying force by the distance that the object had moved. The applied force is 60 N, moving the object by 10 m. Thus, the work does is 600 J. For the friction force which is equal to,
100N x 0.250 = 25.0 N
the work done is,
W = (60 N - 25 N) x 10 m = 350 J
The kinetic energy of the box can be equated to this force. Thus, the answer is also 350 J.
It is an example of balanced force.
hope this helps. good luck
Answer:
![1486.5\frac{Btu}{s}](https://tex.z-dn.net/?f=1486.5%5Cfrac%7BBtu%7D%7Bs%7D)
Explanation:
The inlet specific volume of air is given by:
![v_1=\frac{RT_1}{P_1}\\\\v_1=\frac{(0.3704\frac{psia.ft^3}{lbm.R})(1360R)}{150psia}\\\\v_1=3.358\frac{ft^3}{lbm} \ \ \ \ \ \ \ \ \...i](https://tex.z-dn.net/?f=v_1%3D%5Cfrac%7BRT_1%7D%7BP_1%7D%5C%5C%5C%5Cv_1%3D%5Cfrac%7B%280.3704%5Cfrac%7Bpsia.ft%5E3%7D%7Blbm.R%7D%29%281360R%29%7D%7B150psia%7D%5C%5C%5C%5Cv_1%3D3.358%5Cfrac%7Bft%5E3%7D%7Blbm%7D%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%20%5C%20%5C%20%5C...i)
The mass flow rates is expressed as:
![\dot m=\frac{1}{v_1}A_1V_1\\\\\dot m=\frac{1}{3.358ft^3/psia}(0.1ft^2)(350ft/s)\\\\\dot m=10.42\frac{lbm}{s}](https://tex.z-dn.net/?f=%5Cdot%20m%3D%5Cfrac%7B1%7D%7Bv_1%7DA_1V_1%5C%5C%5C%5C%5Cdot%20m%3D%5Cfrac%7B1%7D%7B3.358ft%5E3%2Fpsia%7D%280.1ft%5E2%29%28350ft%2Fs%29%5C%5C%5C%5C%5Cdot%20m%3D10.42%5Cfrac%7Blbm%7D%7Bs%7D)
The energy balance for the system can the be expresses in the rate form as:
![E_{in}-E_{out}=\bigtriangleup \dot E=0\\\\E_{in}=E_{out}\\\\\dot m(h_1+0.5V_1^2)=\dot W_{out}+\dot m(h_2+0.5V_2^2)+Q_{out}\\\\\dot W_{out}=\dot m(h_2-h_1+0.5(V_2^2-V_1^2))=-m({cp(T_2-t_1)+0.5(V_2^2-V_1^2)})\\\\\\\dot W_{out}=-(10.42lbm/s)[(0.25\frac{Btu}{lbm.\textdegree F})(300-900)\textdegree F+0.5((700ft/s)^2-(350ft/s)^2)(\frac{1\frac{Btu}{lbm}}{25037ft^2/s^2})]\\\\\\\\=1486.5\frac{Btu}{s}](https://tex.z-dn.net/?f=E_%7Bin%7D-E_%7Bout%7D%3D%5Cbigtriangleup%20%5Cdot%20E%3D0%5C%5C%5C%5CE_%7Bin%7D%3DE_%7Bout%7D%5C%5C%5C%5C%5Cdot%20m%28h_1%2B0.5V_1%5E2%29%3D%5Cdot%20W_%7Bout%7D%2B%5Cdot%20m%28h_2%2B0.5V_2%5E2%29%2BQ_%7Bout%7D%5C%5C%5C%5C%5Cdot%20W_%7Bout%7D%3D%5Cdot%20m%28h_2-h_1%2B0.5%28V_2%5E2-V_1%5E2%29%29%3D-m%28%7Bcp%28T_2-t_1%29%2B0.5%28V_2%5E2-V_1%5E2%29%7D%29%5C%5C%5C%5C%5C%5C%5Cdot%20W_%7Bout%7D%3D-%2810.42lbm%2Fs%29%5B%280.25%5Cfrac%7BBtu%7D%7Blbm.%5Ctextdegree%20F%7D%29%28300-900%29%5Ctextdegree%20F%2B0.5%28%28700ft%2Fs%29%5E2-%28350ft%2Fs%29%5E2%29%28%5Cfrac%7B1%5Cfrac%7BBtu%7D%7Blbm%7D%7D%7B25037ft%5E2%2Fs%5E2%7D%29%5D%5C%5C%5C%5C%5C%5C%5C%5C%3D1486.5%5Cfrac%7BBtu%7D%7Bs%7D)
Hence, the mass flow rate of the air is 1486.5Btu/s
Answer:
-100m/s not shure tho thx tho
I believe it’s 8.3 to be precise