Solution to problem 13.2.12 from the collection of Kepe O.E.

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Amnesia: Rebirth is an exciting survival horror shooter developed by Frictional Games. Players will journey through the merciless wastelands of Algeria to uncover the mystery surrounding the heroine Tasi Traynor. Survival in this world, where there is practically no food and water, will be difficult, but this is what makes the game especially exciting.

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  • Players will have to find ways to survive in a world full of dangers and mysteries.
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  • An exciting storyline will make the game even more exciting.

Dive into a world of darkness and horror with Amnesia: Rebirth!

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The description of the product has nothing to do with problem 13.2.12 from the collection of Kepe O.?., so I can only provide a description of the problem.

This problem considers the motion of a body with a mass of 200 kg, which begins to move up a smooth inclined plane under the influence of a force of 1 kN. You need to determine the time it takes for a body to move a distance of 8 meters. The answer to the problem is 4.33 seconds.

The description of the product "Amnesia: Rebirth" has no relation to task 13.2.12 from the collection of Kepe O.?. This problem is a mechanics problem in which you need to determine the time during which a body weighing 200 kg will move a distance of 8 m along a smooth inclined plane under the influence of a force of 1 kN. Solving this problem requires knowledge of the laws of mechanics, such as Newton's law and the law of conservation of energy.

To solve this problem, you can use the formula for the time of movement of a body along an inclined plane:

t = L / (v * cos(a))

where L is the length of the path, v is the speed of the body at the end point of the path, a is the angle of inclination of the plane.

First you need to determine the acceleration of the body along an inclined plane using Newton's second law:

F = at

a = F / m

a = 1 kN / 200 kg = 5 m/s^2

Knowing the acceleration of the body, you can find the speed of the body at the final point of the path using the law of conservation of energy:

mgh = (1/2)mv^2

v = sqrt(2gh)

where m is the mass of the body, h is the height of the body, g is the acceleration of gravity.

The lifting height of the body is equal to h = Lsin(a), where L = 8 m.

Thus,

h = 8 м * sin(a) = 8 м * sin(arctg(1/5)) = 1.37 м

v = sqrt(2 * 9.81 m/s^2 * 1.37 m) = 5.06 m/s

Now you can substitute the found values ​​into the formula for time:

t = 8 m / (5.06 m/s * cos(arctg(1/5))) = 4.33 s

Answer: 4.33 s.


***


Solution to problem 13.2.12 from the collection of Kepe O.?. consists of determining the time during which a body weighing 200 kg, moving up a smooth inclined plane under the influence of a force of 1 kN, will move a distance of 8 m. To solve the problem, it is necessary to use Newton’s laws and the equations of kinematics of body motion.

First you need to determine the acceleration of the body along the inclined plane. For this, Newton's second law is used: the force acting on a body is equal to the product of the body's mass and its acceleration. Since the body is moving upward along the plane, the acceleration will be directed opposite to the direction of movement.

The force acting on the body is equal to 1 kN = 1000 N. Thus, the acceleration of the body can be determined by the formula:

a = F/m = 1000 N / 200 kg = 5 m/s².

Then it is necessary to determine the time during which the body will move a distance of 8 m. To do this, you can use the equation of the kinematics of body motion with constant acceleration:

S = vt + (at^2)/2,

where S is the distance that needs to be covered, v is the initial speed (in this case equal to zero), t is the time elapsed since the beginning of movement, a is acceleration.

Substituting the known values, we get:

8 m = 0 + (5 m/s²) * t^2 / 2.

From here you can find the time t:

t = sqrt((2 * 8 m) / 5 m/s²) = 4.33 sec.

Thus, the time it takes the body to move a distance of 8 m is 4.33 seconds.


***


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