The resultant of two mutually perpendicular forces is equal to 10n one of the forces is equal to 6n what acceleration
September 23, 2021 | education
| The resultant of two mutually perpendicular forces is equal to 10n one of the forces is equal to 6n what acceleration the second force will impart to a body weighing 4 kg.
These tasks: Fр (resultant of two perpendicular forces) = 10 N; F1 (value of the first force) = 6 N; m (body weight) = 4 kg.
1) The second force (Pythagorean theorem): Fр2 = F1 ^ 2 + F2 ^ 2 and F2 = √ (Fр2 – F1 ^ 2) = √ (10 ^ 2 – 6 ^ 2) = 8 N.
2) Acceleration of a given body under the action of the second force (Newton’s second law): a = F2 / m = 8/4 = 2 m / s2.
Answer: Under the action of the second force, a given body should move with an acceleration of 2 m / s2.
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