Properties of H2so4
Autor: vinlious • November 29, 2011 • Essay • 1,728 Words (7 Pages) • 1,502 Views
Physics is the fundamental study of nature to find out how the matters behave in the universe. Math is being developed to not only deal with the complex formulas or functions in engineering but also to understand more about nature, whereas physics also uses math to explore the nature in terms of motions, energies, forces, etc. In other words, math and physics are reciprocal despite the fact that mathematic is described as an abstract study. It’s somehow impractical and exists only in our imagination. The structure of the universe is somehow imprinted on the human mind. However, the surprising thing is that math can be used to describe the physical phenomena which we hadn’t known earlier. The role of math impacting on physics is tremendous and significant.
It stands to reason that math plays the most important factor in dealing with most cases in physics. There are many applications of math to physics. First of all, what I want to go through is work and energy to calculate the total amount of effort required to perform a task. For instance, when we push a table or pull it back, it requires us to use a certain amount of energy to do that work. In constant acceleration, “the force F is also constant and the work done is defined to be the product of the force F and the distance d that the object moves: W= F.D”. It can be easily measured with a certain force and a distance given without changing the acceleration. However, question is, when the force is variable, how can we measure the exact force exerted? In this case, we can break up the distance into small parts, approximate each one and calculate the work as a whole. Generally, the smaller parts we can divide, the more accurate work we’re able to measure. Therefore, differentiation and integration are applied to defining the work done in moving the object from a to b as the limit of this quantity as n=>00: W=lim f(x*) x=
Differentiation can also be applied to measure the hydrostatic pressure which is the water pressure increase as they dive deeper. We can measure the instantaneous force obtained by the given formula: F=mg=pgAd with A: the area submerged in a fluid of density p at a depth d below the surface of the fluid. The fact of the matter is, the pressure will change as the depth increases. As a result, we can’t merely plug these numbers into the formula to solve the hydrostatic pressure in terms of force. Instead, we can also split the height into small delta x, then the pressure P on these small parts remains constant. It turns out much easier if we can take the limit of the sum of these parts of forces Fi as i approaches to infinite; and we can get the exact force exerted by the fluid on the plate as a matter of fact. It shows us the importance of integral in dealing with force without using any more complicated function or formula. Not only is it useful for us to measure force, but we can measure the motion as well in terms of velocity, time,
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