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Helen [10]
3 years ago
14

The pressure at the top of a liquid

Physics
1 answer:
attashe74 [19]3 years ago
7 0

Answer:

\displaystyle \rho=1,024.74\ kg/m^3

Explanation:

Pressure

P=P_o+\rho gh

Where P_o is the atmospheric pressure, \rho is the density of the fluid, and h is the depth

The values are :

P_o= 1\ atm= 101,325\ Pa

P=261,000\ Pa

g=9.8\ m/s^2

h=15.9\ m

Solving the above equation for \rho

\displaystyle \rho=\frac{P-P_o}{gh}

\displaystyle \rho=\frac{261,000-101,325}{9.8(15.9)}

\displaystyle \rho=\frac{159,675}{155.82}

\boxed{ \rho=1,024.74\ kg/m^3}

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A thin rod of length 1.4 m and mass 140 g is suspended freely from one end. It is pulled to one side and then allowed to swing l
m_a_m_a [10]

Answer:

a The kinetic energy is  KE = 0.0543 J

b The height of the center of mass above that position is  h = 1.372 \ m    

Explanation:

From the question we are told that

  The length of the rod is  L = 1.4m

   The mass of the rod m = 140 = \frac{140}{1000} = 0.140 \ kg  

   The angular speed at the lowest point is w = 1.09 \ rad/s

Generally moment of inertia of the rod about an axis that passes through its one end is

                   I = \frac{mL^2}{3}  

Substituting values

               I = \frac{(0.140) (1.4)^2}{3}

               I = 0.0915 \ kg \cdot m^2

Generally the  kinetic energy rod is mathematically represented as

             KE = \frac{1}{2} Iw^2

                    KE = \frac{1}{2} (0.0915) (1.09)^2

                           KE = 0.0543 J

From the law of conservation of energy

The kinetic energy of the rod during motion =  The potential energy of the rod at the highest point

   Therefore

                   KE = PE = mgh

                        0.0543 = mgh

                             h = \frac{0.0543}{9.8 * 0.140}

                                h = 1.372 \ m    

                 

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