A body weighing 10 kg falls from a height of 20 m. At what height will the body be by the time the force
August 29, 2021 | education|
A body weighing 10 kg falls from a height of 20 m. At what height will the body be by the time the force of gravity does work 1.6 kJ
To find the height at which a given body should be, we use the formula: Am = ΔEn = m * g * (h0 – h1), whence we express: h0 – h1 = Am / (m * g) and h1 = h0 – Am / ( m * g).
Variables and constants: h0 – height of the beginning of the fall (h0 = 20 m); Am – the work of gravity (Am = 1.6 kJ = 1.6 * 10 ^ 3 J); m – body weight (m = 10 kg); g – acceleration due to gravity (g ≈ 10 m / s2).
Calculation: h1 = h0 – At / (m * g) = 20 – 1.6 * 10 ^ 3 / (10 * 10) = 4 m.
Answer: The given body will be at a height of 4 m.
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