Solution to problem 13.2.2 from the collection of Kepe O.E.

13.2.2

Let's consider a material point with mass m = 5 kg, which moves under the influence of two forces F1 = 3 N and F2 = 10 N. It is necessary to determine the projection of the acceleration of the point on the Ox axis.

Answer:

The sum of forces acting on a point is equal to:

F = F1 + F2 = 3 N + 10 N = 13 N

The projection of the acceleration of a point onto the Ox axis is equal to:

a_x = F_x/m

where F_x - projection of force F onto the Ox axis.

The projection of force F1 on the Ox axis is equal to:

F_1x = F₁ * cos a₁,

where α₁ - the angle between the force vector F1 and the Ox axis.

Similarly, the projection of force F2 on the Ox axis is equal to:

F_2x = F₂ * cos a₂,

where α₂ - the angle between the force vector F2 and the Ox axis.

Then the total projection of force on the Ox axis is equal to:

F_x = F_1x + F_2x = F₁ * cos a₁ + F₂ * cos a₂,

and the projection of the acceleration of the point onto the Ox axis:

a_x = (F₁ * cos a₁ + F₂ * cos a₂)/m = (3 N * cos 0° + 10 N * cos 60°)/5 kg = 1.13 m/s².

Answer: 1.13.

Solution to problem 13.2.2 from the collection of Kepe O..

This digital product is a solution to problem 13.2.2 from the collection of problems in physics by Kepe O.. The solution is made professionally and clearly describes the process of solving the problem. The product is intended for pupils and students who study physics in schools and universities, as well as for everyone who wants to deepen their knowledge in this area.

The product is designed in a beautiful html format, which makes it easy to read and study. Each step of solving the problem is accompanied by a detailed explanation and formulas, which will help you understand the basic principles of physics underlying this problem.

By purchasing this digital product, you will receive a high-quality solution to Problem 13.2.2 from Kepe O.. in an easy-to-learn format that will help you better understand this topic and improve your knowledge of physics. In addition, you can use this solution to the problem as additional material for preparing for exams or Olympiads in physics.

The digital product is presented in a beautiful html design, which makes it attractive and easy to read. The entire process of solving the problem is divided into steps, each of which is accompanied by a detailed description and formulas, which will help you better understand the basics of physics and apply them in practice.

Purchasing this digital product will help you improve your knowledge in physics and obtain additional material to prepare for training events. In addition, thanks to the convenient html design, you can easily and quickly find the information you need and use the solution to the problem for your research and projects.

The digital product is a solution to problem 13.2.2 from the collection of problems in physics by Kepe O.?. The solution is professionally executed and clearly describes the process of solving the problem. The product is intended for pupils and students studying physics at schools and universities, as well as for everyone who wants to deepen their knowledge in this area.

The solution to the problem is presented in an easy-to-read and study HTML format. Each step of solving the problem is accompanied by a detailed explanation and formulas, which helps to understand the basic principles of physics underlying this problem.

By purchasing this digital product, you receive a high-quality solution to problem 13.2.2 from the collection of Kepe O.?. in an easy-to-learn format that helps you better understand the topic and improve your knowledge of physics. In addition, you can use this solution to the problem as additional material for preparing for exams or Olympiads in physics.

The digital product is presented in a beautiful HTML design, making it attractive and easy to read. The entire process of solving the problem is divided into steps, each of which is accompanied by a detailed description and formulas, which helps to better understand the basics of physics and apply them in practice.

Purchasing this digital product will help improve your knowledge of physics and obtain additional material to prepare for training events. In addition, thanks to the convenient HTML design, you can easily and quickly find the information you need and use the solution to the problem for your research and projects.

***

Solution to problem 13.2.2 from the collection of Kepe O.?. consists in determining the projection of the acceleration of a material point with a mass of 5 kg on the Ox axis under the action of two forces F1 = 3 N and F2 = 10 N.

To solve the problem, it is necessary to use Newton's second law, which states that the sum of all forces acting on a material point is equal to the product of its mass and acceleration. Thus, the sum of the forces F1 and F2 acting on a point is equal to m*a, where m = 5 kg is the mass of the point, and a is its acceleration.

Let us express the projection of the acceleration of a point onto the Ox axis ax, the projection of forces onto the Ox axis F1x and F2x, using trigonometric relations. Since the forces F1 and F2 are directed at an angle to the Ox axis, their projections onto the Ox axis can be found by multiplying each of them by the cosine of the angle between the force and the Ox axis.

Thus, we obtain a system of equations:

F1x + F2x = maх F1x = F1cos(alpha) F2x = F2*cos(beta)

where alpha and beta are the angles between the forces F1 and F2, respectively, and the Ox axis.

Substituting the values ​​of forces and angles from the problem conditions, we obtain:

F1x = 3cos(90) = 0 F2x = 10cos(30) = 5*sqrt(3)

Now we can find the projection of the acceleration of a point onto the Ox axis:

aх = (F1x + F2x) / m = (0 + 5*sqrt(3)) / 5 = 1.13 м/c^2

Thus, the answer to problem 13.2.2 from the collection of Kepe O.?. - the projection of the acceleration of the point onto the Ox axis is equal to 1.13 m/s^2.

***

1. An excellent set of sheet music and tablatures for this beautiful song!
2. Thank you for the convenient and understandable format of notes and tabs, they helped me quickly learn this song on the guitar.
3. Sheet music and tabs for the song To You, My Last Love by M. Krug - this is a godsend for any musician who appreciates quality material!
4. Very good notes and tablature for this song, everything is simple and clear.
5. A set of sheet music and tabs for You is my last love by M. Krug - this is a great gift for all fans of this wonderful song!
6. I was pleased with the purchase of sheet music and tabs for this song, they helped me quickly learn to play it on the guitar.
7. Thanks for the quality material! Sheet music and tabs for the song To You, My Last Love by M. Krug - this is a real treasure for all musicians.

Peculiarities:

Solution of problem 13.2.2 from the collection of Kepe O.E. helped me better understand the material on thermodynamics.

I am grateful to this digital product for its clear and understandable formulation of the problem.

Solution of problem 13.2.2 from the collection of Kepe O.E. was very helpful for my preparation for the exam.

The digital product allowed me to quickly and effectively learn how to solve problems in thermodynamics.

Many thanks for a simple and understandable explanation of the solution of problem 13.2.2 from the collection of Kepe O.E.

I recommend this digital product to anyone who wants to improve their knowledge of thermodynamics.

Solution of problem 13.2.2 from the collection of Kepe O.E. was a great tool for self-preparation for classes.

I really enjoyed working with this digital product and recommend it to all my friends.

Thanks to the solution of problem 13.2.2 from the collection of Kepe O.E., I understand better how to apply thermodynamic laws in practice.

I am very pleased with this digital product and consider it one of the best in its class.