Determine the amount of potential energy of a 4.2 kg book that is placed on a shelf with a height of 0.9 meters. Round your answ
1 answer:
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Answer:
The pressure at point 2 is
Explanation:
From the question we are told that
The speed at point 1 is
The gauge pressure at point 1 is
The density of water is
Let the height at point 1 be then the height at point two will be
Let the diameter at point 1 be then the diameter at point two will be
Now the continuity equation is mathematically represented as
Here are the area at point 1 and 2
Now given that the are is directly proportional to the square of the diameter [i.e ]
which can represent as
=>
where c is a constant
so
=>
=>
Now from the continuity equation
=>
=>
Generally the Bernoulli equation is mathematically represented as
So
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substituting values
Answer:
The linear velocity is
Explanation:
According to the law of conservation of energy
The potential energy possessed by the hoop at the top of the inclined plane is converted to the kinetic energy at the foot of the inclined plane
The kinetic energy can be mathematically represented as
Where is the moment of inertia possessed by the hoop which is mathematically represented as
Here R is the radius of the hoop
is the angular velocity which the hoop has at the bottom of the lower part of the inclined plane which is mathematically represented as
Where v linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface
Now expressing the above statement mathematically
=>
=>
=>
=>
Substituting values