Answer:
energy is the capacity to do work
Answer:
![T_{2}=278.80 K](https://tex.z-dn.net/?f=T_%7B2%7D%3D278.80%20K%20)
Explanation:
Let's use the equation that relate the temperatures and volumes of an adiabatic process in a ideal gas.
.
Now, let's use the ideal gas equation to the initial and the final state:
![\frac{p_{1} V_{1}}{T_{1}} = \frac{p_{2} V_{2}}{T_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bp_%7B1%7D%20V_%7B1%7D%7D%7BT_%7B1%7D%7D%20%3D%20%5Cfrac%7Bp_%7B2%7D%20V_%7B2%7D%7D%7BT_%7B2%7D%7D)
Let's recall that the term nR is a constant. That is why we can match these equations.
We can find a relation between the volumes of the initial and the final state.
![\frac{V_{1}}{V_{2}}=\frac{T_{1}p_{2}}{T_{2}p_{1}}](https://tex.z-dn.net/?f=%20%5Cfrac%7BV_%7B1%7D%7D%7BV_%7B2%7D%7D%3D%5Cfrac%7BT_%7B1%7Dp_%7B2%7D%7D%7BT_%7B2%7Dp_%7B1%7D%7D)
Combining this equation with the first equation we have:
![(\frac{T_{1}p_{2}}{T_{2}p_{1}})^{\gamma -1} = \frac{T_{2}}{T_{1}}](https://tex.z-dn.net/?f=%28%5Cfrac%7BT_%7B1%7Dp_%7B2%7D%7D%7BT_%7B2%7Dp_%7B1%7D%7D%29%5E%7B%5Cgamma%20-1%7D%20%3D%20%5Cfrac%7BT_%7B2%7D%7D%7BT_%7B1%7D%7D)
![(\frac{p_{2}}{p_{1}})^{\gamma -1} = \frac{T_{2}^{\gamma}}{T_{1}^{\gamma}}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bp_%7B2%7D%7D%7Bp_%7B1%7D%7D%29%5E%7B%5Cgamma%20-1%7D%20%3D%20%5Cfrac%7BT_%7B2%7D%5E%7B%5Cgamma%7D%7D%7BT_%7B1%7D%5E%7B%5Cgamma%7D%7D)
Now, we just need to solve this equation for T₂.
![T_{1}\cdot (\frac{p_{2}}{p_{1}})^{\frac{\gamma - 1}{\gamma}} = T_{2}](https://tex.z-dn.net/?f=T_%7B1%7D%5Ccdot%20%28%5Cfrac%7Bp_%7B2%7D%7D%7Bp_%7B1%7D%7D%29%5E%7B%5Cfrac%7B%5Cgamma%20-%201%7D%7B%5Cgamma%7D%7D%20%3D%20T_%7B2%7D%20)
Let's assume the initial temperature and pressure as 25 °C = 298 K and 1 atm = 1.01 * 10⁵ Pa, in a normal conditions.
Here,
Finally, T2 will be:
![T_{2}=278.80 K](https://tex.z-dn.net/?f=T_%7B2%7D%3D278.80%20K%20)
The magnitude of the force that the beam exerts on the hi.nge will be,261.12N.
To find the answer, we need to know about the tension.
<h3>How to find the magnitude of the force that the beam exerts on the hi.nge?</h3>
- Let's draw the free body diagram of the system using the given data.
- From the diagram, we have to find the magnitude of the force that the beam exerts on the hi.nge.
- For that, it is given that the horizontal component of force is equal to the 86.62N, which is same as that of the horizontal component of normal reaction that exerts by the beam on the hi.nge.
![N_x=86.62N](https://tex.z-dn.net/?f=N_x%3D86.62N)
- We have to find the vertical component of normal reaction that exerts by the beam on the hi.nge. For this, we have to equate the total force in the vertical direction.
![N_y=F_V=mg-Tsin59\\](https://tex.z-dn.net/?f=N_y%3DF_V%3Dmg-Tsin59%5C%5C)
- To find Ny, we need to find the tension T.
- For this, we can equate the net horizontal force.
![F_H=N_x=Tcos59\\\\T=\frac{F_H}{cos59} =\frac{86.62}{0.51}= 169.84N](https://tex.z-dn.net/?f=F_H%3DN_x%3DTcos59%5C%5C%5C%5CT%3D%5Cfrac%7BF_H%7D%7Bcos59%7D%20%3D%5Cfrac%7B86.62%7D%7B0.51%7D%3D%20169.84N)
- Thus, the vertical component of normal reaction that exerts by the beam on the hi.nge become,
![N_y= (40*9.8)-(169.8*sin59)=246.4N](https://tex.z-dn.net/?f=N_y%3D%20%2840%2A9.8%29-%28169.8%2Asin59%29%3D246.4N)
- Thus, the magnitude of the force that the beam exerts on the hi.nge will be,
![N=\sqrt{N_x^2+N_y^2} =\sqrt{(86.62)^2+(246.4)^2}=261.12N](https://tex.z-dn.net/?f=N%3D%5Csqrt%7BN_x%5E2%2BN_y%5E2%7D%20%3D%5Csqrt%7B%2886.62%29%5E2%2B%28246.4%29%5E2%7D%3D261.12N)
Thus, we can conclude that, the magnitude of the force that the beam exerts on the hi.nge is 261.12N.
Learn more about the tension here:
brainly.com/question/28106871
#SPJ1
Answer: Choose the normal force acting between the object and the ground. Let's assume a normal force of 250 N.
Determine the friction coefficient.
Multiply these values by each other: 250 N * 0.13 = 32.5 N .
You just found the force of friction!
Explanation: