Solution to problem 15.5.7 from the collection of Kepe O.E.

In this problem, there is a system of bodies consisting of a slider with a mass of 2 kg and a homogeneous rod with a mass of 6 kg and length AB = 1 m, which are connected by a hinge.

End B of the rod slides along a horizontal plane. It is known that the speed of end A of the rod is 1 m/s, and the angle of inclination of the rod to the horizon is 60°.

It is necessary to determine the kinetic energy of the entire system of bodies.

To solve the problem, you can use the formula for the kinetic energy of a body: E = mv^2/2, where E is the kinetic energy, m is the mass of the body, v is the speed of the body.

First, let's find the speed of end B of the rod. To do this, we use the cosine theorem:

cos ? = AB/BC cos 60° = 1/BC BC = 2 м

Now you can find the speed of end B of the rod:

vB = vA + BC * ?v/AB = 1 + 2 * sin 60° = 1 + √3 m/s

Next, we determine the kinetic energy of the slider and rod separately:

EP = mP * vA^2 / 2 = 2 * 1^2 / 2 = 1 J ER = mR * vB^2 / 2 = 6 * (1 + √3)^2 / 2 = 15 + 18√3 J

Then the total kinetic energy of the system of bodies will be equal to:

E = EP + ER = 16 + 18√3 J

Answer: 16 + 18√3 J.

Solution to problem 15.5.7 from the collection of Kepe O.?.

We present to your attention a unique digital product - the solution to problem 15.5.7 from the collection of problems by Kepe O.?. in physics. This product will become an indispensable assistant for students and schoolchildren who study physics and prepare for exams.

The solution to the problem was carried out at a high professional level and contains detailed calculations and a step-by-step solution. All stages of the solution are presented in a clear and accessible form, which makes it easy to understand and remember the material.

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We present to your attention a unique digital product - the solution to problem 15.5.7 from the collection of Kepe O.?. in physics.

This problem describes a system of bodies consisting of a slider with a mass of 2 kg and a homogeneous rod with a mass of 6 kg and length AB = 1 m, which are connected by a hinge. End B of the rod slides along a horizontal plane. It is known that the speed of end A of the rod is 1 m/s, and the angle of inclination of the rod to the horizon is 60°. It is necessary to determine the kinetic energy of the entire system of bodies.

To solve the problem, the formula for the kinetic energy of the body is used: E = mv^2/2, where E is the kinetic energy, m is the mass of the body, v is the speed of the body. First, we find the speed of end B of the rod using the cosine theorem and trigonometric functions. We then determine the kinetic energy of the slider and the rod separately using the formula for kinetic energy.

The total kinetic energy of the system of bodies will be equal to the sum of the kinetic energies of the slider and the rod. The solution to the problem was carried out at a high professional level and contains detailed calculations and a step-by-step solution, presented in an understandable and accessible form.

This product is made in a beautiful html design, which further improves the perception of information. The file with the solution to the problem is compatible with all modern browsers and can be opened on any device.

By purchasing this digital product, you gain access to useful information that will help you succeed in physics problems. Don't miss the opportunity to purchase this unique product now! The answer to problem 15.5.7 from the collection of Kepe O.?. in physics it is equal to 16 + 18√3 J.

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The product whose description is required is the solution to problem 15.5.7 from the collection of problems in physics by Kepe O.?.

The problem considers a system consisting of a slider weighing 2 kg and a rod weighing 6 kg, 1 meter long, which are connected by a hinge. The end of rod B slides along a horizontal plane. It is required to find the kinetic energy of a system of bodies under given initial conditions: the speed of the slider vA = 1 m/s and the angle between the rod and the horizon ? = 60°.

To solve the problem, it is necessary to find the speed of movement of the slider and the end of the rod. Then you can calculate the kinetic energy of each body using the formula K = mv^2/2, where m is the mass of the body, v is its speed.

After calculations, it turns out that the speeds of the slider and the end of the rod are 1 m/s and 3 m/s, respectively. The kinetic energy of the slider is 1 J, and the end of the rod is 4 J. The total kinetic energy of the system of bodies is 5 J.

Answer: 5.

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