Problem 1.13. KINEMATICS | Learning to solve physics problems from scratch
If you have decided to learn how to solve physics problems from scratch, then you have come to the right place. On my channel, I will analyze a large number of problems on kinematics, dynamics and other sections of physics with a very simple and accessible explanation of the algorithm for solving the problem. I think that almost anyone will understand.
On this channel, I plan to post solutions to problems, tips and recommendations for schoolchildren and students who want to learn how to solve physics problems. Therefore, if you have questions regarding my problems, if you would like to clarify something, ask in the comments. If necessary, I will record video answers to your questions. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Problem 1.13
A body falls from a height of h=19.6 m with an initial velocity of V0=0. In what time will the body cover the first and last 1 m of its path?
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It should be remembered that physics problems are essentially what surrounds us. These processes, actions, mechanisms that we encounter when solving a particular problem, all this is the world around us. When starting to solve the next problem, even the simplest one, try to recognize the phenomenon, imagine it mentally (in the form of a picture), discuss its course (if there is someone to discuss it with), and only then begin to search for an answer to the question posed. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
✅ Thank the author of the channel:
4276510010822044 (Sberbank)
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You can format the task as you imagined it:
a short record of the condition, where it is necessary to reflect not only these numerical values, but also all additional conditions, which follow from the text of the problem (although, this is not always obvious, but arises in the course of solving).
drawing the problem: make a drawing for the problem, which displays the situation described in the problem, apply all the given conditions of the problem, and formulate the question of the problem.
The drawing is especially necessary if the equations used are given in vector form. In this case, it is necessary to draw a coordinate system relative to which the vector equation should be written in projections. In most cases, a drawing greatly simplifies the process of solving any problem, not only in physics. A drawing is also necessary if the body is moving or at an angle.
It is necessary to check whether all the given quantities in the problem are in the same system of units (SI, CGS, and others). If the quantities are given in different systems, they should be expressed in units of the system you have adopted for the solution. Preference is given to the SI system, but not always.
So, the condition of the problem is drawn up, now you can start solving the problem.
We think over the physical content of the problem, find out which section it belongs to, and what laws should be used in it. Problems can be combined, their solution requires the use of laws of several branches of physics.
-Next, you should write down the formulas corresponding to the laws used in the problem, you should not immediately look for the unknown value; you need to see if all the parameters in the formula are known. If the number of unknowns is greater than the number of equations, you need to add the equations that follow from the condition and the figure. General principle: how many unknowns, so many formulas. Then all that remains is to solve the system of equations, that is, reduce the problem from physical to mathematical.
-A common mistake: incomplete understanding of the meaning of the parameters in the formula.
-The solution to the problem should most often be performed in a general form, that is, in letter notations.
-Having received a solution in a general form, you need to check the dimensionality of the obtained value. To do this, substitute not numbers into the formula, but the dimensions of the quantities included in it. After checking the formula for dimensionality, you should substitute the numerical values of the quantities included in it and make a calculation.
-Next, you need to analyze and formulate an answer. If the question was "how has it changed...", then you need to indicate the direction of the change (increased, decreased, slowed down, etc.).
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