Physics, 14.01.2020 21:31 isabellemaine

Apendulum of length 76 cm and mass 2.4 kg swings with a mechanical energy of 0.028 j. what is the amplitude?

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Answer from: avinashpolwah

0.042m or 4.2cm

Explanation:

Given

length of pendulum (L) = 76cm = 0.76 m

mass of object (m) = 2.4kg

total mechanical energy (E) = 0.028 joules

amplitude(A) = ?

formula for total mechanical energy of a pendulum is

E = $\frac{1}{2 }mw^{2}A^{2}$

where $w=\sqrt{\frac{g}{L} }$ and g is acceleration due to gravity = 9.8m/s

inputting the value of into E = $\frac{1}{2}m[\sqrt{\frac{g}{L} }]^{2}A^{2}$

0.028j = $\frac{1}{2}\times 2.4\times [\sqrt{\frac{9.8}{0.74} }]^{2}A^{2}$

making A subject of formula and calculating it value

$A=\sqrt{\frac{0.028}{15.9}}=0.042m=4.2cm$

Answer from: Quest

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Answer from: Quest

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explanation:

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Apendulum of length 76 cm and mass 2.4 kg swings with a mechanical energy of 0.028 j. what is the am...