Answer:
67 kPa
Explanation:
Given that,
Initial volume, V₁ = 25 cm³
Initial pressure, P₁ = 100 kPa
Final volume, V₂ = 15 cm³
We need to find the change in pressure of the gas. The relation between the volume and pressure of a gas is given by :

or
= 167 kPa
The change in pressure,
= P₂ - P₁
= 167 kPa - 100 kPa
= 67 kPa
Hence, the correct option is (a).
 
        
             
        
        
        
Answer:
the answer is below
Explanation:
The diagram of the problem is given in the image attached. 
Mass of rod AB = (0.4 m + 0.4 m) * 3 kg/m = 2.4 kg
Mass of rod OC = (1.5 m) * 3 kg/m = 4.5 kg
Mass of plate = 10 kg/m²[ (π* 0.3²) - (π* 0.1²)] = 2.513 kg
The center of mass is:
![\hat{y}[2.4+2.513+4.5]=(0.75*4.5)+(2.513*0.5)\\\\\hat{y}=0.839\\\\I_{AB}=\frac{1}{12}*2.4*(0.4+0.4)^2= 0.128\ kg/m^2\\\\I_{OC}=\frac{1}{12}*4.5*(1.5)^2= 3.375\ kg/m^2\\\\I_{Gplate}=\frac{1}{2}*(\pi*0.3^2*10)*(0.3)^2-\frac{1}{2}*(\pi*0.1^2*10)*(0.1)^2= 0.126\ kg/m^2\\\\I_{plate}=I_{Gplate}+md^2=0.126+2.513(1.8^2)=8.27\ kg/m^2\\\\I_o=I_{plate}+I_{AB}+I_{OC}\\\\I_{o}=0.128+3.375+8.27=11.773\ kg/m^2 \\\\I_G=I_o-m_{tot}\hat{y}^2\\\\I_G=11.773-(9.413*0.839^2)\\\\I_G=5.147\ kg/m^2](https://tex.z-dn.net/?f=%5Chat%7By%7D%5B2.4%2B2.513%2B4.5%5D%3D%280.75%2A4.5%29%2B%282.513%2A0.5%29%5C%5C%5C%5C%5Chat%7By%7D%3D0.839%5C%5C%5C%5CI_%7BAB%7D%3D%5Cfrac%7B1%7D%7B12%7D%2A2.4%2A%280.4%2B0.4%29%5E2%3D%200.128%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_%7BOC%7D%3D%5Cfrac%7B1%7D%7B12%7D%2A4.5%2A%281.5%29%5E2%3D%203.375%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_%7BGplate%7D%3D%5Cfrac%7B1%7D%7B2%7D%2A%28%5Cpi%2A0.3%5E2%2A10%29%2A%280.3%29%5E2-%5Cfrac%7B1%7D%7B2%7D%2A%28%5Cpi%2A0.1%5E2%2A10%29%2A%280.1%29%5E2%3D%200.126%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_%7Bplate%7D%3DI_%7BGplate%7D%2Bmd%5E2%3D0.126%2B2.513%281.8%5E2%29%3D8.27%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_o%3DI_%7Bplate%7D%2BI_%7BAB%7D%2BI_%7BOC%7D%5C%5C%5C%5CI_%7Bo%7D%3D0.128%2B3.375%2B8.27%3D11.773%5C%20kg%2Fm%5E2%20%5C%5C%5C%5CI_G%3DI_o-m_%7Btot%7D%5Chat%7By%7D%5E2%5C%5C%5C%5CI_G%3D11.773-%289.413%2A0.839%5E2%29%5C%5C%5C%5CI_G%3D5.147%5C%20kg%2Fm%5E2)
 
        
             
        
        
        
Complete Question 
 The complete question is shown on the first uploaded image
Answer:
The time taken  is  
  
Explanation:
From the question we are told that 
        The value of  
        The  the interior temperature is  
          The external temperature is  
           The required interior temperature is  
       The newton cooling law is 
                       
=>                 
   Now integrate both sides we have  
                  
                     
    
Since c is a constant lnC = c   will also give a constant so 
                   
    
        =>        
 
      =>         
   
           substituting value 
                   
                   
Hence 
         
        
 =>     
          
  
 
        
             
        
        
        
Answer:
Explanation:
v² = u² + 2as
v = 0
u = 96 / 3.6 = 26.7 m/s
0² = 26.7² + 2a100
a = -3.5555555... ≈ -3.6 m/s²
the negative sign indicated the acceleration vector opposes the (assumed positive) initial velocity vector direction.
 
        
             
        
        
        
The answer would be number four. I'm sorry if I am too late. Byes.....