Sriman Dutta

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About Sriman Dutta

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  • Birthday 12/18/00

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    Kolkata, India
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    I am interested in science and physics. Besides, I like to read books and also draw pictures. I also like to travel, take good snapshots and to listen to music.
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    I'm a STUDENT

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  1. Suppose it's like this: F <--- |eng|= |wg1|=|wg2|=|wg3|=|wg4|=|wg5| So this is the train (or wagons). Assuming that each wagon weighs m and the engine is of mass M, then net acceleration a = F/(M+5m) So force exerted by wg2 on wg3 is = 3ma
  2. Snell's Law states that the ratio of the sine of the angle of incidence to the sine of angle of refraction is a constant for a given medium.
  3. It is probably based on the concept of similarity of triangles.
  4. 0/0 is undefined and that is why we evaluate such functions using limits.
  5. For the first question, total distance covered = length of train + length of bridge. For the second one, draw a displacement time graph.
  6. Average speed is equal to total speed by total time. We can assume the total distance as d in the above question and proceed.
  7. Such fantasies can be a part of a Hollywood movie. No idea, what would happen except explosion and wiping out of the life.
  8. Photons are chargeless particles. Therefore they do not exert an electrostatic force of attraction on negatively-charged electrons, having o charge of -1.6 X 10^-19 coulomb.
  9. Equations of Motion 1. [math] v=u+at[/math] 2. [math] S=ut+\frac{1}{2}at^2[/math] 3. [math] v^2 = u^2 +2aS[/math] Displacement during the nth second: [math] S_n = u+\frac{a}{2}(2n+1)[/math] For free fall in one-dimension; [math] h_{max} = \frac{u^2}{2g}[/math] time taken to reach highest point: [math] t_o = \frac{u}{g}[/math] When [math]t<t_o[/math] [math] distance = displacement = ut-\frac{1}{2}gt^2[/math] When [math]t=t_o[/math] [math]distance = displacement = h_{max}[/math] When [math]t>t_o[/math] [math]displacement = ut -\frac{1}{2}gt^2[/math] [math] distance = h_{max} + \frac{1}{2}g(t-t_o)^2[/math] Projectile Motion When [math]u[/math] is the initial velocity and [math]\theta[/math] is the launch angle given; [math]v_x = ucos\theta[/math] and [math] v_y=usin\theta -gt[/math] [math]a_x=0[/math] and [math]a_y =-g[/math] [math]x=utcos\theta[/math] and [math] y=ut sin \theta -\frac{1}{2}gt^2[/math] Time of flight: [math]T=\frac{2usin\theta}{g}[/math] Range : [math]R=\frac{u^2 sin 2\theta}{g} [/math] Maximum height : [math]h_{max} = \frac{u^2 sin^2 \theta}{2g} [/math] Equation of the path of projectile: [math] y = xtan \theta - \frac{gx^2}{2u^2cos^2 \theta } [/math] Relation between [math]R[/math] and [math]h_{max}[/math] is : [math]R=\frac{4h_{max}}{tan \theta}[/math]
  10. Lets start a thread that includes all important as well as useful concepts and equations commonly found in kinematics, mechanics, Newtonian physics and the whole classical physics in general. Lets see how far the list goes....... Newton's Laws of Motion 1. Every body continues its state of rest or uniform motion in a straight line until and unless it is acted upon by an external force. 2. The force impacted by a body is directly proportional to the rate of change of linear momentum. [math]F = \frac{dp}{dt} [/math] Or, [math] F=ma[/math] 3. Every action has an equal and opposite reaction. [math] F_1 = -F_2[/math]
  11. I'm presently studying in a high school. And I must agree that it's course is quite good, preparing you for advanced learning. Physics has got an amalgam of motion and kinematics and electromagnetism. Plenty of new concepts in chemistry have been introduced like the atomic structure in terms of orbitals, wave function, the uncertainty principle and Schrödinger equation as well. Also, it includes organic aromatic compounds and stoichiometry. In maths, calculus and trigonometry and 3d geometry and analytical mathematics have been introduced. I dare say, I will be half as smart as some of the members here after 12th.
  12. How can we exclude mathematics from the field of science? The techniques of mathematics are also based on the nature of observable features. For instance, vectors have been designed to meet the requirements of motion and quantities posing a definite direction.
  13. Hello studiot, the functions that you gave can't be written in the algebraic forms. In other words, these functions give their outputs, but doesn't show how the process gives the result. So I suspect we can't try that here.
  14. For a general function [math]f(x):R \rightarrow R[/math] , and if as x tends to a, there exists a discrete value l which is approached by f(x), then by definition we have: [math]\lim_{x \rightarrow a} f(x) = l[/math]. For all x in the open interval [math](a+ \delta, a- \delta) [/math], the value [math] |f(x)-l|< \epsilon [/math], for all [math]\epsilon[/math] infinitely small. If we want to make the 'tends to' part of limit as 0, then we consider h=x-a, and so, as [math]x \rightarrow a[/math], [math]h \rightarrow 0[/math]. This is a known technique of limit evaluation.
  15. Monoatomic ions consist of single atoms for example Cl-. Polyatomic ions consist of multiple atoms. In other words, it's a radical. For example NH4+.