Solution to problem 15.3.10 from the collection of Kepe O.E.

In the problem, a body of mass m = 2 kg is given, the initial speed of which is v0 = 4 m/s. The body moves along a horizontal plane and travels a distance of 16 m before stopping. It is necessary to determine the modulus of the sliding friction force between the body and the plane. The answer is 1.

The problem can be solved as follows. Using the law of conservation of energy, we can find the work done by the friction force, which brings the body to a stop. The work done by the friction force is equal to the change in the kinetic energy of the body:

A = ΔEk = Ek - Ek0,

where Ek is the kinetic energy of the body at the final moment of time, Ek0 is the kinetic energy of the body at the initial moment of time.

The kinetic energy of a body is expressed by the formula:

Ec = (mv^2)/2,

where m is the mass of the body, v is the speed of the body.

Thus, the work done by the friction force is:

A = (mv^2)/2 - (mv0^2)/2,

where v0 is the initial velocity of the body.

In order to determine the modulus of the friction force, it is necessary to divide the work done by the friction force by the distance traveled:

A = Fs,

where F is the friction force modulus, s is the distance traveled.

Thus, the modulus of the friction force is equal to:

F = A/s = ((mv^2)/2 - (mv0^2)/2)/s.

Substituting the values, we get:

F = ((24^2)/2 - (20^2)/2)/16 = 1.

Thus, the modulus of the sliding friction force between the body and the plane is 1 N.

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This product is a solution to problem 15.3.10 from the collection of Kepe O.?. in physics. The problem is given a body with a mass of 2 kg moving along a horizontal plane at a speed of 4 m/s. The body stops after traveling a distance of 16 meters. It is necessary to find the modulus of the sliding friction force between the body and the plane.

The solution to the problem is based on the application of the law of conservation of energy and formulas for kinetic energy and the work of friction. As a result of calculations, it turns out that the modulus of the sliding friction force is 1 N.

The digital product is designed in an easy-to-read html format and can be useful to students, graduate students and physics teachers. It will help you understand the topic, get an answer to the question and prepare for exams. By purchasing this product, you get access to useful information that will help you develop and achieve new results in the study of physics.


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Okay, I can answer in Russian.

Problem 15.3.10 from the collection of Kepe O.?. is formulated as follows:

A body of mass m = 2 kg is moving along a horizontal plane, which was given an initial speed v0 = 4 m/s. Before stopping, the body traveled a distance of 16 m. It is necessary to determine the modulus of the sliding friction force between the body and the plane.

To solve the problem it is necessary to use Newton's laws. Since the body moves along a horizontal plane, the sliding friction force will be directed opposite to the direction of movement of the body. According to Newton's second law, the sliding friction force will be equal to the product of the sliding friction coefficient and the weight of the body:

Ftr = mmg,

where Ftr is the sliding friction force, μ is the sliding friction coefficient, m is the body mass, g is the acceleration of free fall.

To determine the sliding friction coefficient, it is necessary to use the equation of body motion:

s = v0t + (at^2)/2,

where s is the distance traveled, v0 is the initial speed, t is the time of movement, a is the acceleration.

Since the body moves until it stops, its speed at the final moment of time will be equal to zero:

v = v0 + a*t = 0.

It follows that the acceleration is equal to:

a = -v0/t.

By substituting the expression for acceleration into the equation of motion, we can express the time of motion:

t = 2s/v0.

Knowing the time of movement, you can calculate the coefficient of sliding friction:

μ = Ftr/(m*g) = Ftr/19.6,

where 19.6 is the value of the acceleration of gravity on Earth.

Thus, in order to determine the modulus of the sliding friction force between the body and the plane, it is necessary to calculate the sliding friction coefficient using the above formulas.


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