Menentukan Besar Energi Potensial Maupun Energi Kinetik Jika Dinyatakan Terhadap Energi Mekanik

  • April 2020
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MENENTUKAN BESAR ENERGI POTENSIAL MAUPUN ENERGI KINETIK JIKA DINYATAKAN TERHADAP ENERGI MEKANIK : ( A = amplitudo ) a. y = 0 b. y = 1 / 2 A 2 c. d. e. f. g. h. i.

y = 1/2 A 3 y = 1/ 3 A y = 1/ 4 A y =1 / 5A y =1 / 6A y =1 / 7A y =1 / 8A @ JAWABAN @

a. y = 0 Ep = 1 / 2 ky 2 = 1 / 2 k ( 0 )2

=0 Ek = 1 / 2 k ( A 2 – y 2 ) = 1 / 2 k ( A2 – 02 ) = 1 / 2 k A2 Ep = Em b. y = 1 / 2 A 2 Ep = 1 / 2 ky 2 = 1 / 2 k ( 1 / 2 A 2 )2 = 1 / 2 k ( 1 / 4 A2 2 ) = 1 / 2 k ( 1 / 2 A2 ) = 1 / 2 ( 1 / 2 kA2 )

= 1 / 2 Em Ek = 1 / 2 k ( A2 - y2 ) = 1 / 2 k ( A 2 – ( 1 / 2 A 2 )2 = 1 / 2 k ( A2 – 1 / 4 A2 2 ) = 1 / 2 k ( A2 – 1 / 2 A2 ) = 1 / 2 k ( 1 / 2 A2 ) = 1 / 2 ( 1 / 2 kA2 )

= 1 / 2 Em c. y = 1 / 2 A 3 Ep = 1 / 2 ky2 = 1 / 2 k ( 1 / 2 A 3 )2 = 1 / 2 k ( 1 / 4 A2 3 ) = 1 / 2 k ( 3 / 4 A2 ) = 3 / 4 ( 1 / 2 kA2 )

= 3 / 4 Em 1

Ek = 1 / 2 k ( A2 – y2 ) = 1 / 2 k ( A2 – ( 1 / 2 A 3 ))2 = 1 / 2 k ( A2 – 1 / 4 A2 3 ) = 1 / 2 k ( A2 – 3 / 4 A2 ) = 1 / 2 k ( 1 / 4 A2 ) = 1 / 4 ( 1 / 2 kA2 ) = 1 / 4 Em d. y = 1 / 3 A Ep = 1 / 2 ky2 = 1 / 2 k ( 1 / 3 A )2 = 1 / 2 k ( 1 / 9 A2 ) = 1 / 9 ( 1 / 2 kA2 ) = 1 / 9 Em Ek = 1 / 2 k ( A2 – y 2 ) = 1 / 2 k ( A2 – ( 1 / 3 A)2 ) = 1 / 2 k ( A2 – 1 / 9 A2 ) = 1 / 2 k ( 8 / 9 A2 ) = 8 / 9 ( 1 / 2 kA2 ) = 8 / 9 Em e. y = 1 / 4 A Ep = 1 / 2 ky2 = 1 / 2 k ( 1 / 4 A )2 = 1 / 2 k ( 1 / 16 A2 ) = 1 / 16 ( 1 / 2 kA2 ) = 1 / 16 Em Ek = 1 / 2 k ( A2 – y2 ) = 1 / 2 k ( A 2 – ( 1 / 4 A )2 ) = 1 / 2 k ( A2 – 1 / 16 A2 ) = 1 / 2 k ( 15 / 16 A2 ) = 15 / 16 ( 1 / 2 kA2 ) = 15 / 16 Em f. y = 1 / 5 A Ep = 1 / 2 ky2 = 1 / 2 k ( 1 / 5 A )2 = 1 / 2 k ( 1 / 25 A2 ) = 1 / 25 ( 1 / 2 kA2 ) = 1 / 25 Em Ek = 1 / 2 k ( A2 – y2 ) = 1 / 2 k ( A 2 – ( 1 / 5 A )2 ) = 1 / 2 k ( A2 – 1 / 25 A2 ) = 1 / 2 k ( 24 / 25 A2 ) = 24 / 25 ( 1 / 2 kA2) = 24 / 25 Em

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g. y = 1 / 6 A Ep = 1 / 2 ky2 = 1 / 2 k ( 1 / 6 A )2 = 1 / 2 k ( 1 / 36 A2 ) = 1 / 36 ( 1 / 2 kA2 ) = 1 / 36 Em Ek = 1 / 2 k ( A2 – y2 ) = 1 / 2 k ( A 2 – ( 1 / 6 A )2 ) = 1 / 2 k ( A2 – 1 / 36 A2 ) = 1 / 2 k ( 35 / 36 A2 ) = 35 / 36 ( 1 / 2 kA2 ) = 35 / 36 Em h. y = 1 / 7 A Ep = 1 / 2 ky2 = 1 / 2 k ( 1 / 7 A )2 = 1 / 2 k (1 / 49 A2 ) = 1 / 49 ( 1 / 2 kA2 ) = 1 / 49 Em Ek = 1 / 2 k ( A2 – y2 ) = 1 / 2 k ( A 2 – ( 1 / 7 A )2 ) = 1 / 2 k ( A2 – 1 / 49 A2 ) = 1 / 2 k ( 48 / 49 A2 ) = 48 / 49 ( 1 / 2 kA2 ) = 48 / 49 Em i. y = 1 / 8 A Ep = 1 / 2 ky2 = 1 / 2 k ( 1 / 8 A )2 = 1 / 2 k ( 1 / 64 A2 ) = 1 / 64 ( 1 / 2 kA2 ) = 1 / 64 Em

Ek = 1 / 2 k ( A2 – y2 ) = 1 / 2 k ( A 2 – ( 1 / 8 A )2 ) = 1 / 2 k ( A2 – 1 / 64 A2 ) = 1 / 2 k ( 63 / 64 A2 ) = 63 / 64 ( 1 / 2 kA2 ) = 63 / 64 Em

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TABEL Ep dan Ek dalam Em No 1 2 3 4 5 6 7 8 9

Simpangan ( y ) y=0 y=1/2A 2 y=1/2A 3 y=1/3A y=1/4A y=1/5A y=1/6A y=1/7A y=1/8A

Ep 0 1 / 2 Em 3 / 4 Em 1 / 9 Em 1 / 16 Em 1 / 25 Em 1 / 36 Em 1 / 49 Em 1 / 64 Em

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Ek 1 / 2 kA2 1 / 2 Em 1 / 4 Em 8 / 9 Em 15 / 16 Em 24 / 25 Em 35 / 36 Em 48 / 49 Em 63 / 64 Em

Em 1 / 2 kA2 1 / 2 kA2 1 / 2 kA2 1 / 2 kA2 1 / 2 kA2 1 / 2 kA2 1 / 2 kA2 1 / 2 kA2 1 / 2 kA2

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