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Work : It is the last application of integral which we'll be looking at under this course. In this section we'll be looking at the amount of work which is done through a force in moving an object.
Under a first course in Physics you classically look at the work as a constant force F, does while moving an object over a distance of d. In such cases the work,
W = Fd
Though, most forces are not constant and will depend upon in which exactly the force is acting. Therefore, let's assume that the force at any x is specified by F(x). Afterward the work complete by the force in moving an object from x = a to x = b is specified by,
Consider that if the force is constant we find the correct formula for a constant force.
Here b-a is only the distance moved or d.
Therefore, let's take a look at a couple of illustration of non-constant forces.
Consider the trigonometric function f(t) = -3 + 4 cos(Π/ 3 (t - 3/2 )). (a) What is the amplitude of f (t)? (b) What is the period of f(t)? (c) What are the maximum and mi
altitude 35000 @ 9:30 9;42 alt 17500 increase speed by factor of 3 level out at 2500= how much time will it take
what is the circumference of a circle that is 11 in.
Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Ea
BROKARAGE.
We have claimed that a randomly generated point lies on the equator of the sphere independent of where we pick the North Pole. To test this claim randomly generate ten vectors i
write down all the factors of 36
find the value of A and B if the following polynomials are perfect square:
Illustration : Solve the following IVP. Solution: First get the eigenvalues for the system. = l 2 - 10 l+ 25 = (l- 5) 2 l 1,2 = 5 Therefore, we got a
It's now time to do solving systems of differential equations. We've noticed that solutions to the system, x?' = A x? It will be the form of, x? = ?h e l t Here l and
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