Solution to problem 15.3.13 from the collection of Kepe O.E.

15.3.13 A body weighing 1 kg descends down an inclined plane without an initial speed. It is necessary to calculate the kinetic energy of a body at the moment when it passes a distance of 3 meters if the coefficient of sliding friction between the body and the plane is 0.2. (Answer: 9.62)

Hopefully:

$m = 1$ kg (body weight)

$v_{0} = 0$ (initial velocity of the body)

$s = 3$ m (distance traveled by the body)

$f = 0.2$ (coefficient of sliding friction between the body and the plane)

Let's find the work done by the friction force over the path $s$:

$A_{\text{тр}} = \int\limits_{s_0}^{s} F_{\text{тр}} ds = \int\limits_{s_0}^{s} f N ds,$

where $F_{\text{tr}}$ is the friction force, $N$ is the support reaction force.

Since the body moves along an inclined plane, the support reaction force is equal to the weight of the body:

$N = mg.$

Then the work done by the friction force will be equal to:

$A_{\text{тр}} = fmg \int\limits_{s_0}^{s} ds = fmg (s - s_0).$

Since the initial speed of the body is zero, all the work done by the forces acting on the body is converted into its kinetic energy:

$A_{\text{тр}} = \Delta E_{\text{к}} = \frac{mv^2}{2}.$

Consequently, the kinetic energy of the body at the moment of passing the distance $s$ is equal to:

$E_{\text{к}} = \frac{fmg (s - s_0)}{2} = \frac{fmg s}{2}.$

Substituting the known values, we get:

$E_{\text{к}} = \frac{0,2 \cdot 1 \cdot 9,81 \cdot 3}{2} \approx 9,62$ Дж.

Solution to problem 15.3.13 from the collection of Kepe O.?.

We present to your attention a digital product - a solution to problem 15.3.13 from the collection of Kepe O.?. This product is ideal for students and students who are preparing to take exams or want to deepen their knowledge in the field of physics.

In this product you will find a detailed solution to problem 15.3.13, which concerns the movement of a body along an inclined plane. The solution was prepared by a professional teacher and presented in a convenient format with beautiful html design.

By purchasing this product, you will have access to a high-quality problem solution that will help you better understand the material and prepare for the exam. Don't miss the opportunity to purchase this digital product at a great price!

I offer you a description of the product that will correspond to the task.

Digital product "Solution to problem 15.3.13 from the collection of Kepe O.?." is a detailed solution to a physical problem that concerns the motion of a body along an inclined plane. The problem is formulated as follows: a body weighing 1 kg descends down an inclined plane without an initial speed. It is necessary to determine the kinetic energy of the body at the moment when it has traveled a distance of 3 meters, with a coefficient of sliding friction between the body and the plane equal to 0.2 (answer 9.62 J).

This product provides a detailed solution to the problem, completed by an experienced teacher. The solution is presented in a convenient format and is designed as a beautiful HTML document, which makes it easy to read and study the material. By purchasing this product, you get access to a high-quality problem solution that will help you better understand the material and prepare for your physics exam. You can also use this solution as an example to perform similar tasks.

Product "Solution to problem 15.3.13 from the collection of Kepe O.?." Ideal for students and students preparing to take physics exams, as well as for anyone who wants to deepen their knowledge in this field. By purchasing this product, you get a high-quality solution to the problem at an affordable price.

***

Solution to problem 15.3.13 from the collection of Kepe O.?. consists in determining the kinetic energy of a body weighing 1 kg at the time when it has traveled a distance of 3 m along an inclined plane, provided that the sliding friction coefficient between the body and the plane is 0.2.

To solve the problem it is necessary to use the laws of mechanics and the law of conservation of energy. It is known that the body is acted upon by the force of gravity, which is directed vertically downwards, and the force of friction, which is directed along the inclined plane in the direction opposite to the movement of the body.

At the initial moment of time, the body is at rest, so its kinetic energy is zero. As it descends along the plane, the body acquires speed and its kinetic energy begins to increase.

To determine the kinetic energy of a body at the moment in time when it has traveled a distance of 3 m, it is necessary to first determine the speed of the body at this moment in time. To do this, you can use the equation of motion of a body on an inclined plane, which relates the movement of the body along the plane, the time of movement and the acceleration of the body.

The acceleration of a body can be determined from Newton's second law, taking into account gravity and friction. Then, using the law of conservation of energy, we can determine the kinetic energy of the body at the moment in time when it has traveled a distance of 3 m.

As a result of all calculations, the value of the kinetic energy of the body will be equal to 9.62 J.

***

1. Solution to problem 15.3.13 from the collection of Kepe O.E. is a great digital product for math learners.
2. With this solution you can easily understand a complex mathematical problem.
3. I recommend this solution to anyone who is looking for a convenient and quick way to solve a problem.
4. This digital product helped me with a difficult math problem.
5. I am pleased with the result that I achieved thanks to this solution to the problem from the collection of Kepe O.E.
6. This is a very useful and informative digital product for anyone interested in mathematics.
7. Solution to problem 15.3.13 from the collection of Kepe O.E. - an excellent choice for those who want to improve their knowledge in mathematics.