Check yourself. Physics.Mathematics
Check yourself. Physics.Mathematics
  • Видео 77
  • Просмотров 6 981
Electricity | Unusual quiz question on electric potential | Can you answer?
The quiz question asks you to correlate the volt (a unit of electrical potential) with the basic units of SI.
There are many electrical quantities which have special units (charge, potential, capacitance, etc). However, all of them can be presented using basic units: kilogram, meter, second, amp. The high school and undergraduate students can solve this problem.
#physics #electricity #potential #units
Просмотров: 2

Видео

Magic trick with forks | Everybody can do it | Physics can explain!2:58Magic trick with forks | Everybody can do it | Physics can explain!
Magic trick with forks | Everybody can do it | Physics can explain!
Просмотров 2019 часов назад
Two connected forks and a quarter can be in a strange equilibrium when placed on a pole. The trick can be explain using the concepts of center of mass and stable equilibrium 00:00 Introduction 00:16 Preparing and performing 01:18 Explanation The explanation of the trick is designed for high school and undergraduate students. #mechanics #centerofmass #forks #quarter #equilibrium #magic
Math Olympiad Problem | Show that for any positive integer M, M(M+1) cannot be a perfect square8:13Math Olympiad Problem | Show that for any positive integer M, M(M+1) cannot be a perfect square
Math Olympiad Problem | Show that for any positive integer M, M(M+1) cannot be a perfect square
Просмотров 6314 дней назад
Two solutions are suggested, the first is the simplest one. 00:00 Formulation of problem 00:11 First solution 02:27 Second solution 08.03 Final screen In the first solution, it is shown that if M(M 1) = N^2 then N is located between M and M 1, i.e. cannot be the integer. The second solution is based on the fact that the product of two positive integer can be equal to 1 only in the case where bo...
Math Olympiad Problem | One angle in trapezoid is 60 degrees. Find the ratio of trapezoid bases.8:10Math Olympiad Problem | One angle in trapezoid is 60 degrees. Find the ratio of trapezoid bases.
Math Olympiad Problem | One angle in trapezoid is 60 degrees. Find the ratio of trapezoid bases.
Просмотров 17514 дней назад
It is also known that there is a circle inscribed in and a circle circumscribed around the trapezoid. 00:00 Problem formulation 00:21 Trapezoid is isosceles. 01:31 First solution 05:15 Second solution Because there is a circle circumscribed around a trapezoid, the latter is isosceles, Because there is a circle inscribed in the trapezoid, the ratio of the bases is equal 1:3 Solution of the probl...
Kinematics | Tricky properties of one-dimensional motion with constant acceleration | MiniLecture21:32Kinematics | Tricky properties of one-dimensional motion with constant acceleration | MiniLecture
Kinematics | Tricky properties of one-dimensional motion with constant acceleration | MiniLecture
Просмотров 1021 день назад
The case where acceleration and initial velocity point in opposite directions is considered in detail. Tricky properties of such a motion are examined. 00:00 Introduction 00:29 Formulation of the problem 01:53 Case 1: a and v0 point in the same direction 02:17 Case 2: a and v0 point in the opposite directions 03:39 Two examples of motion for Case 2 05:01 Problem 1. Location of U-turn point 08:2...
Math Olympiad Toolkit | For what a, equation has a single solution? | No Lambert W-function used.7:50Math Olympiad Toolkit | For what a, equation has a single solution? | No Lambert W-function used.
Math Olympiad Toolkit | For what a, equation has a single solution? | No Lambert W-function used.
Просмотров 26021 день назад
Learn how graphical analysis can help to solve a complicated problem related to equation a^x = x. 0:00 Problem formulation 00:13 Number of roots for various a 03:11 One-root case analysis 07:11 Conclusion The graphical analysis is used to find parameter a of equation a^x = x at which this equation has a single solution. It helps to solve even more general problem, namely, to classify the number...
Math Olympiad Toolkit | Find number of roots of equation aTOx=x (a positive) as function of a8:19Math Olympiad Toolkit | Find number of roots of equation aTOx=x (a positive) as function of a
Math Olympiad Toolkit | Find number of roots of equation aTOx=x (a positive) as function of a
Просмотров 6928 дней назад
Learn how graphical analysis can help to solve a complicated problem. No Lambert W-function used. 00:00 Problem formulation 00:11 Transformation of equation 00:47 Analysis and plotting of function ln(x)/x 03:45 Determining maximum of ln(x)/x 04:48 Determining number of roots of a^x=x 07:27 Conclusion #math #Olympiad #algebra #equation #multiple-solutions
Math Olympiad Problem | Knowing arithmetic and geometric mean of two numbers, find their difference4:26Math Olympiad Problem | Knowing arithmetic and geometric mean of two numbers, find their difference
Math Olympiad Problem | Knowing arithmetic and geometric mean of two numbers, find their difference
Просмотров 94Месяц назад
What is the difference of two positive numbers if their arithmetic mean is 2√3 and their geometric mean is 3? A simple trick will help you to solve this problem easily. The problem is designed for high school and undergraduate students. #matholympiad #algebra #highschool #arithmeticmean #geometricmean #trick
Math Olympiad Toolkit | Equation 2^(x+a) + x^2 = 3 has a single solution | Find a11:24Math Olympiad Toolkit | Equation 2^(x+a) + x^2 = 3 has a single solution | Find a
Math Olympiad Toolkit | Equation 2^(x+a) + x^2 = 3 has a single solution | Find a
Просмотров 60Месяц назад
Learn how graphical analysis can help to solve a complicated problem. 0:00 Problem formulation 00:16 Case a = 0 01:47 Case a greater than 0 02:55 Case a smaller than 0 04:22 Finding a for single solution 10:47 Conclusion The graphical analysis to find parameter a of equation 2^(x a) x^2 = 3 at which this equation has a single solution is used. It helps to solve even more general problem, namely...
Math Olympiad Problem | Can the side of a given square have an integer length? | Tricky solution!4:18Math Olympiad Problem | Can the side of a given square have an integer length? | Tricky solution!
Math Olympiad Problem | Can the side of a given square have an integer length? | Tricky solution!
Просмотров 401Месяц назад
Can the square with area A = 69303990366014 have the side of integer length? The answer is NO, The proof is based on the fact that the remainder after dividing of the square of any integer by 3 is either 0 or 1. 00:00 Problem formulation 00:39 Important property of integers 01:00 Analysis of the area 1:55 Proof of the property of integers 4:02 End screen The problem can be solved by high school...
Logical puzzle | Where will the egg roll? | Only 15% answer correctly1:28Logical puzzle | Where will the egg roll? | Only 15% answer correctly
Logical puzzle | Where will the egg roll? | Only 15% answer correctly
Просмотров 16Месяц назад
Funny logical problem which can be solved even by kids. It is taken from the book of Raymond Smullyan “What is the name of this book?” #logics #egg #roof #equilibrium
Math Olympiad Toolkit |Rule of thumb to solve cubic equation| You must know this!6:54Math Olympiad Toolkit |Rule of thumb to solve cubic equation| You must know this!
Math Olympiad Toolkit |Rule of thumb to solve cubic equation| You must know this!
Просмотров 432 месяца назад
Learn simple rule of thumb to solve the cubic equations which often suggested at Math Olympiads. May be very useful! 00:00 Problem formulation 00:48 Determining the first root 01:57 Factorization of the polynomial of third degree 05:20 Determining two other roots 06:20 Conclusion Even though this rule of thumb is not universal it can often help to solve cubic equations or even equations of high...
Logical Problem | Sum of two coins equal 30 c, yet one of them is not a nickel | Is it possible?1:30Logical Problem | Sum of two coins equal 30 c, yet one of them is not a nickel | Is it possible?
Logical Problem | Sum of two coins equal 30 c, yet one of them is not a nickel | Is it possible?
Просмотров 202 месяца назад
Funny logical problem of the famous American mathematician Raymond Smullyan. It can be solved by everybody who can think logically. Much more brilliant logical problems one can find in the book of Raymond Smullyan “What is the name of this book?” #logics #twocoins #smullyan
Complex numbers | Imaginary unit "i" | How to pronounce it: "i" or "iota"? | You must know this!2:42Complex numbers | Imaginary unit "i" | How to pronounce it: "i" or "iota"? | You must know this!
Complex numbers | Imaginary unit "i" | How to pronounce it: "i" or "iota"? | You must know this!
Просмотров 402 месяца назад
Why do different people pronounce the imaginary unit symbol differently? You must know this! #complexnumbers #imaginaryunit #pronunciation
Tricky Math | Find all roots of equation x^Sqrt[x] = 1/2 | Help to the students5:39Tricky Math | Find all roots of equation x^Sqrt[x] = 1/2 | Help to the students
Tricky Math | Find all roots of equation x^Sqrt[x] = 1/2 | Help to the students
Просмотров 1312 месяца назад
First, the number of roots of equation x^Sqrt[x] =1/2 is determined using graphical method. Then all roots are found using representation of ½ by two tricky ways. 00:00 Problem formulation 00:07 Plotting graph of y = x^Sqrt[x] 02:11 Determining the number of roots 03:19 Determining first root 04:22 Determining second root 05:17 Conclusion The proof that lim x^Sqrt[x] = 1 (x to 0) is here: rucli...
Tricky Math | Find extrema of unusual function | Help to the students4:57Tricky Math | Find extrema of unusual function | Help to the students
Tricky Math | Find extrema of unusual function | Help to the students
Просмотров 282 месяца назад
Tricky Math | Find extrema of unusual function | Help to the students
Tricky Math| Resolving nontypical indeterminate form | Help to the students4:53Tricky Math| Resolving nontypical indeterminate form | Help to the students
Tricky Math| Resolving nontypical indeterminate form | Help to the students
Просмотров 1112 месяца назад
Tricky Math| Resolving nontypical indeterminate form | Help to the students
Math Olympiad Toolkit | Multiple solutions of equation 2^x + x^2 = 3 | Rule of thumb4:58Math Olympiad Toolkit | Multiple solutions of equation 2^x + x^2 = 3 | Rule of thumb
Math Olympiad Toolkit | Multiple solutions of equation 2^x + x^2 = 3 | Rule of thumb
Просмотров 1602 месяца назад
Math Olympiad Toolkit | Multiple solutions of equation 2^x x^2 = 3 | Rule of thumb
Complex numbers |Exponential and logarithmic functions | Complete solution of equations like 1^x = 39:05Complex numbers |Exponential and logarithmic functions | Complete solution of equations like 1^x = 3
Complex numbers |Exponential and logarithmic functions | Complete solution of equations like 1^x = 3
Просмотров 1333 месяца назад
Complex numbers |Exponential and logarithmic functions | Complete solution of equations like 1^x = 3
Math Olympiad Toolkit | Rule of thumb for equations not considered at your school | 2^x + x^3 = 33:29Math Olympiad Toolkit | Rule of thumb for equations not considered at your school | 2^x + x^3 = 3
Math Olympiad Toolkit | Rule of thumb for equations not considered at your school | 2^x + x^3 = 3
Просмотров 533 месяца назад
Math Olympiad Toolkit | Rule of thumb for equations not considered at your school | 2^x x^3 = 3
Conservation of angular momentum | Rotating disc with moving cockroach8:51Conservation of angular momentum | Rotating disc with moving cockroach
Conservation of angular momentum | Rotating disc with moving cockroach
Просмотров 1184 месяца назад
Conservation of angular momentum | Rotating disc with moving cockroach
Static equilibrium. A wheel raising over a step obstacle of given height.5:37Static equilibrium. A wheel raising over a step obstacle of given height.
Static equilibrium. A wheel raising over a step obstacle of given height.
Просмотров 1374 месяца назад
Static equilibrium. A wheel raising over a step obstacle of given height.
Inelastic collision | What is conserved? | Linear momentum? Kinetic energy? | Analysis of mistakes.8:21Inelastic collision | What is conserved? | Linear momentum? Kinetic energy? | Analysis of mistakes.
Inelastic collision | What is conserved? | Linear momentum? Kinetic energy? | Analysis of mistakes.
Просмотров 724 месяца назад
Inelastic collision | What is conserved? | Linear momentum? Kinetic energy? | Analysis of mistakes.
Energy conservation | Frisbee flight | Change of mechanical energy5:29Energy conservation | Frisbee flight | Change of mechanical energy
Energy conservation | Frisbee flight | Change of mechanical energy
Просмотров 604 месяца назад
Energy conservation | Frisbee flight | Change of mechanical energy
Vertical free fall motion |Final velocity and time of flight | Simple problem #22:42Vertical free fall motion |Final velocity and time of flight | Simple problem #2
Vertical free fall motion |Final velocity and time of flight | Simple problem #2
Просмотров 204 месяца назад
Vertical free fall motion |Final velocity and time of flight | Simple problem #2
Vertical free fall motion | Find final velocity and time of flight | Simple problem #13:02Vertical free fall motion | Find final velocity and time of flight | Simple problem #1
Vertical free fall motion | Find final velocity and time of flight | Simple problem #1
Просмотров 105 месяцев назад
Vertical free fall motion | Find final velocity and time of flight | Simple problem #1
Speed of a satellite orbiting a planet. Mistakes analysis3:44Speed of a satellite orbiting a planet. Mistakes analysis
Speed of a satellite orbiting a planet. Mistakes analysis
Просмотров 735 месяцев назад
Speed of a satellite orbiting a planet. Mistakes analysis
Motion of a block along horizontal surface in the presence of friction and vertical force.8:09Motion of a block along horizontal surface in the presence of friction and vertical force.
Motion of a block along horizontal surface in the presence of friction and vertical force.
Просмотров 715 месяцев назад
Motion of a block along horizontal surface in the presence of friction and vertical force.
Calculating average velocity | Two simple problems | Mistakes analysis.8:31Calculating average velocity | Two simple problems | Mistakes analysis.
Calculating average velocity | Two simple problems | Mistakes analysis.
Просмотров 905 месяцев назад
Calculating average velocity | Two simple problems | Mistakes analysis.
Math Olympiad problem | Straightforward solution vs. tricky one3:34Math Olympiad problem | Straightforward solution vs. tricky one
Math Olympiad problem | Straightforward solution vs. tricky one
Просмотров 98 месяцев назад
Math Olympiad problem | Straightforward solution vs. tricky one

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