A body weighing 100 g falls vertically downward. Determine the acceleration with which the body moves
August 29, 2021 | education|
A body weighing 100 g falls vertically downward. Determine the acceleration with which the body moves if the force of air resistance acts on it F = 8 * 10 ^ -2
To determine the acceleration with which a given body moves in the fall, we project all the forces onto the OS axis: m * a = Fт – Fс = m * g – Fс, from where we express: a = (m * g – Fс) / m.
Constants and variables: m – body weight (m = 100 g = 0.1 kg); g – acceleration due to gravity (g ≈ 9.8 m / s2); Fc – the acting resistance force (Fc = 8 * 10-2 N).
Calculation: a = (m * g – Fс) / m = (0.1 * 9.8 – 8 * 10-2) / 0.1 = 9 m / s2.
Answer: The given body falls with an acceleration of 9 m / s2.
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