Solution to problem 14.1.3 from the collection of Kepe O.E.

14.1.3 A body with mass m = 2 kg moves along horizontal guides according to the law s = 2t2 + 1.

It is necessary to determine the module of the main vector of external forces acting on the body.

Answer: 8

Let's consider this problem. From the condition it is known that a body with a mass of 2 kg moves horizontally and is described by the equation $s = 2t^2 + 1$. To find the module of the main vector of external forces, it is necessary to use Newton's second law: $\vec{F} = m\vec{a}$, where $\vec{F}$ is the force vector, $m$ is the body mass, $\ vec{a}$ - acceleration of the body.

Since the body moves along a horizontal straight line, its acceleration is equal to the time derivative of the equation $s = 2t^2 + 1$: $a=\frac{d^2s}{dt^2}=4$. Therefore, the external force acting on the body is equal to $\vec{F} = m\vec{a} = 2 \cdot 4 = 8$ N. Answer: 8.

Solution to problem 14.1.3 from the collection of Kepe O.?.

We present to your attention the solution to problem 14.1.3 from the famous collection of Kepe O.?. in physics.

This digital product provides a detailed and understandable solution to a problem that will help you better understand the application of the laws of physics in practice.

In this solution, we describe in detail the condition of the problem, step by step we analyze the process of solving it and give a final answer to the question asked in the condition.

This digital product is ideal for anyone studying physics at school, university, or just interested in science. Beautiful design in HTML format makes it easy to use and allows you to quickly find the information you need.

By purchasing the solution to problem 14.1.3 from the collection of Kepe O.?., you receive not only valuable information, but also the opportunity to better understand physics and its application in practice.

***

Solution to problem 14.1.3 from the collection of Kepe O.?. consists in determining the module of the main vector of external forces acting on a body of mass 2 kg, which moves along horizontal guides according to the law s = 2t^2 + 1.

To solve the problem, it is necessary to use Newton’s second law, which states that the force acting on a body is equal to the product of the body’s mass and its acceleration: F = m*a.

The acceleration of the body can be found by taking the second derivative of the law of motion s = 2t^2 + 1: a = 4 m/s^2.

Then, substituting the value of the body mass and its acceleration into Newton’s second law, we obtain: F = m*a = 2 kg * 4 m/s^2 = 8 N.

Thus, the module of the main vector of external forces acting on the body is equal to 8 N.

***

1. A very convenient digital product for those who solve math problems.
2. Solution to problem 14.1.3 from the collection of Kepe O.E. helped me understand the material better.
3. Thanks to the digital product, I was able to solve the problem quickly and save time.
4. Very accurate and understandable solution to the problem.
5. Digital goods help in learning and develop logical thinking.
6. A good choice for those who prefer electronic versions of textbooks and problem books.
7. Solution to problem 14.1.3 from the collection of Kepe O.E. - A great way to prepare for an exam or test.

Peculiarities:

Solution of problem 14.1.3 from the collection of Kepe O.E. is a great digital product for students and teachers who are learning math.

Thanks to this digital product, the solution to problem 14.1.3 becomes more understandable and accessible.

The digital format of problem solving allows you to quickly and conveniently test your knowledge and skills.

The quality of the solution of problem 14.1.3 from the collection of Kepe O.E. leaves only positive impressions and helps to better understand the material.

The digital product provides a unique opportunity to access a high-quality solution to problem 14.1.3 at any convenient time and place.

The solution of problem 14.1.3 in digital format is a reliable and accurate source of information for students and teachers.

The digital product demonstrates a high level of professionalism and competence of the author of solving problem 14.1.3 from the collection of Kepe O.E.