7.8.2 Calculate the acceleration modulus of a point if its vector is given as a = 2.5n + 3.5?, where n and ? - unit vectors of a natural trihedron. Round the answer to two decimal places and write it down in numerical form. (Answer: 4.30)
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This product is a solution to problem 7.8.2 from the collection of Kepe O.?. The task is to determine the acceleration modulus of a point if its vector is given as a = 2.5n + 3.5?, where n and ? - unit vectors of a natural trihedron. The solution is written by an experienced physics teacher and contains a detailed description of the steps required to solve the problem. The result will be an answer rounded to two decimal places, which is 4.30.
When purchasing this digital product, you will receive a convenient and beautiful format for presenting information that you can use to improve your knowledge and skills in physics. This solution to the problem meets the requirements of the curriculum and can be used to prepare for exams or independently study physics. Don't miss the opportunity to purchase this valuable product and expand your horizons in the field of physics.
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Solution to problem 7.8.2 from the collection of Kepe O.?. consists in determining the acceleration modulus of a point along a given vector.
The acceleration vector of a point is given as a = 2.5n + 3.5?, where n and ? - unit vectors of a natural trihedron.
To determine the acceleration modulus of a point, it is necessary to calculate the length of the vector a, that is, its Euclidean norm.
The length of the vector a is calculated by the formula: |a| = sqrt(a1^2 + a2^2 + a3^2), where a1, a2, a3 are the coordinates of vector a.
Replacing the coordinates with the values from the problem, we get:
|a| = sqrt((2.5)^2 + (3.5)^2) = sqrt(6.25 + 12.25) = sqrt(18.5) ≈ 4.30
Thus, the answer to problem 7.8.2 from the collection of Kepe O.?. equals 4.30.
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