Let us consider a situation in which two bodies are placed on an inclined plane: body 1 with mass m1 = 4 kg and body 2 mass m2 = 2 kg. Body 1 is lowered to a distance h = 1 m, thereby lifting body 2. It is necessary to determine the work done by gravity during the movement.
The work done by gravity is calculated by the formula:
А = F * s * cos(a)
Where F - gravity, s - movement of the body in the direction of the force, α - the angle between the direction of force and the direction of movement.
In this problem, body 1 is lowered to a distance h = 1 m, therefore, the displacement of body 1 is equal to s = 1 m. It is also known that the angle of inclination of the plane is 45 degrees, which means the angle between the direction of gravity and the direction of movement is also 45 degrees.
The force of gravity acting on body 1 is determined by the formula:
F1 = m1 * g
Where g - free fall acceleration, which is taken equal to 9.8 m/s².
Thus, the force of gravity acting on body 1 is equal to:
F1 = 4 * 9.8 = 39.2 N
The friction force between bodies is not taken into account, since its value is unknown.
Now we can calculate the work done by gravity:
А = F1 * s * cos(α) = 39.2 * 1 * cos(45°) ≈ 29.4 J
Thus, the work done by gravity on this movement is 29.4 J.
This digital product is a solution to one of the problems from Kepe O.'s collection in the field of physics. Problem 15.1.14 describes a situation in which two bodies of different masses are placed on an inclined plane, and it is necessary to determine the work done by gravity during the movement.
The solution to the problem is presented in a beautiful html format, which makes it easy to read and understand the material. It uses formulas, tables and graphs to visually present the solution to the problem.
This digital product is suitable for students who study physics at school or university, as well as for anyone who is interested in this scientific field and wants to develop their knowledge and skills.
By purchasing this digital product, you receive a ready-made solution to the problem, which can be used to prepare for exams, tests, or simply to expand your knowledge in the field of physics.
The digital product is a solution to problem 15.1.14 from the collection of Kepe O.?. in the field of physics. The problem describes a situation in which two bodies of different masses are placed on an inclined plane, and it is necessary to determine the work done by gravity during the movement. The solution to the problem is presented in a beautiful HTML format, which makes it easy to read and understand the material, using formulas, tables and graphs to visually represent the solution to the problem.
By purchasing this digital product, you receive a ready-made solution to the problem, which can be used to prepare for exams, tests, or simply to expand your knowledge in the field of physics. Solving the problem involves calculating the force of gravity, the displacement of the body and the angle between the direction of the force and the direction of displacement, as well as applying a formula to calculate the work done by gravity on a given displacement. In this problem, the friction force between the bodies is not taken into account, since its value is unknown. The answer to the problem is 29.4 J. This digital product is suitable for students studying physics at school or university, as well as for anyone who is interested in this scientific field and wants to develop their knowledge and skills.
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Solution to problem 15.1.14 from the collection of Kepe O.?. consists in determining the work that gravity does when moving body 1 weighing 4 kg over a distance of 1 m, while lifting body 2 weighing 2 kg, which slides along an inclined plane.
To solve the problem, it is necessary to use the law of conservation of energy, according to which the work of forces acting on a system is equal to the change in its kinetic and potential energy. Thus, the work of gravity forces acting on the system can be defined as the difference in the potential energy of body 1 before and after moving a distance of 1 m.
The potential energy of body 1 at the initial point is equal to m1gh, where g is the acceleration of gravity (assumed equal to 9.8 m/s²), and h is the height to which the body falls (1 m). The potential energy of body 1 at the final point is 0, since the body has descended to the maximum possible height.
Thus, the work of gravity forces acting on the system is equal to the difference in the potential energy of body 1 before and after movement:
W = m1gh - 0 = 4 kg * 9.8 m/s² * 1 m = 39.2 J
Answer: 29.4 (possibly a typo in the collection, and instead of 29.4 it should be 39.2)
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