Solution to problem 13.2.11 from the collection of Kepe O.E.

13.2.11 A material point begins to move from rest downwards along a smooth plane, the angle of inclination of which to the horizon is 10 degrees. It is necessary to calculate the time during which the point will travel a distance of 30 meters. (Answer 5.93)

Solution to problem 13.2.11 from the collection of Kepe O..

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We present to your attention a digital product - a solution to problem 13.2.11 from the collection of Kepe O.?. This product is intended for anyone who is studying physics and needs help solving problems. Our solution will help you solve this problem easily and quickly, without spending a lot of time searching for a solution yourself.

To solve the problem, it is necessary to determine the time during which a material point will travel a distance of 30 meters, starting to move from rest down along a smooth plane that is inclined at an angle of 10 degrees to the horizon. Solving the problem includes the following steps:

1. Let us find the projection of the acceleration of free fall onto the axis parallel to the plane along which the material point moves. This projection will be equal to g*sin(10°), where g is the acceleration of free fall, and 10° is the angle of inclination of the plane to the horizon.

2. Let us determine the acceleration of the material point using the formula a=g*sin(10°), where a is the acceleration of the material point.

3. Let's find the time of movement of a material point using the formula t=sqrt(2*s/a), where s is the distance that the point will travel, and t is the time during which the point will travel this distance.

Substituting the known values, we get: t=sqrt(230/(gsin(10°))). Using the free fall acceleration value g=9.81 m/s^2, we get t=5.93 seconds.

Thus, our solution includes a detailed description of all steps of the solution, as well as the answer to the problem. You can be confident in the quality of our product as it is developed by professional physicists with extensive teaching experience. In addition, our digital product has a convenient format that allows you to easily and quickly access the solution to the problem at any convenient time and from anywhere in the world.

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The product is the solution to problem 13.2.11 from the collection of Kepe O.?. The problem is to determine the time during which a material point, initially moving from a state of rest, will travel a distance of 30 m along a smooth plane inclined at an angle of 10° to the horizon. Solving this problem allows you to understand how the tilt of a plane affects the movement of a material point, as well as learn to apply the laws of physics to solve such problems. The answer obtained as a result of solving the problem is 5.93 seconds.

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