# The body, which is acted upon by 3 mutually perpendicular forces of √20 N each, moves with

August 29, 2021 | education

| **The body, which is acted upon by 3 mutually perpendicular forces of √20 N each, moves with an acceleration of 2.5 m / s². determine your body weight.**

To find the mass of a moving body, we will use the equality: F = m * a (Newton’s second law) = √ (F1 ^ 2 + F2 ^ 2 + F3 ^ 2) (parallelepiped diagonal) = √ (3F ^ 2), whence we express: m = √ (3F ^ 2) / a.

Values of variables: F – modulus of each of the acting forces (F = √20); a – acceleration of the body (a = 2.5 m / s2).

Calculation: m = √ (3F ^ 2) / a = √ (3 * (√20) ^ 2) / 2.5 = 3.1 kg.

Answer: The body has a mass of 3.1 kg.

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