Solution to problem 13.2.14 from the collection of Kepe O.E.

13.2.14 A material point with mass m = 25 kg began to move from rest along a horizontal straight line under the influence of a force F = 20t, which is directed along the same straight line. Determine the distance traveled by the point in 4 s. (Answer 8.53)

To solve this problem, it is necessary to use the equation of motion of a material point:

where s is the path traveled by the point, v0 is the initial speed (in this case equal to 0), a is the acceleration of the point, t is time.

The acceleration of a point can be found from Newton's second law:

where F is the force acting on the point.

Substituting the expression for acceleration into the equation of motion, we get:

Substituting the known values, we get:

Performing simple algebraic transformations, we obtain:

Answer: 8.53.

Source: author unknown.

Solution to problem 13.2.14 from the collection of Kepe O..

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The digital product you are looking for is a solution to problem 13.2.14 from the collection of educational problems in physics, authored by O.?. Kepe. The problem considers the motion of a material point with a mass of 25 kg, which begins to move from a state of rest along a horizontal straight line under the action of a force F = 20t, directed along the same straight line.

To solve the problem, the equation of motion of a material point is used, which determines the path traveled by the point, the initial speed (in this case equal to 0), the acceleration of the point and time. The acceleration of a point is found from Newton's second law, which takes into account the force acting on the point.

The solution to the problem is presented in a beautifully designed HTML format, which makes the material easier to read and understand. This solution can be useful for students, teachers and anyone who is interested in physics and wants to practice solving problems.

The digital product is provided electronically and is available for download immediately after payment. Purchasing this solution to the problem will help improve your knowledge in the field of physics, and its affordable price makes it accessible to a wide audience. If you have any questions or problems with your download, our support team is always ready to help.

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Problem 13.2.14 from the collection of Kepe O.?. is formulated as follows:

“Given a material point with a mass m = 25 kg, which began to move from a state of rest along a horizontal straight line under the influence of a force F = 20t, directed along the same straight line. It is required to determine the path traveled by the point in 4 s.”

To solve this problem, it is necessary to find the speed of the material point at the moment of time t=4 s, using the equation of motion:

m*a = F

where m is the mass of a material point, a is its acceleration, and F is the force acting on it.

After integrating the resulting equation of motion, we can find the dependence of speed on time:

v = (F/m)*t^2/2

Then, using the formula for finding the path under uniformly accelerated motion:

S = vt + at^2/2

you can find the path traveled by a point in 4 s. In this case, the path will be 8.53 meters.

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