SIMAK UI PAKET A 31. Sebuah silinder pejal menggelinding tanpa slip dari puncak suatu bidang miring. Laju silinder di puncak 80 cm/s. Jika kehilangan energi akibat gesekan diabaikan, laju silinder pada posisi 18 cm dibawah titik puncak adalah… (A) 200 cm/s (B) 173 cm/s (C) 152 cm/s (D) 98 cm/s (E) 67 cm/s Jawaban:
= = 1 1 ℎ= 1 1 ℎ 2 2 2 2 1 1 1 ℎ= 1 1 1 ′ ℎ′ 2 22 2 22 1 1 ℎ= 1 1 ℎ′ 2 4 2 4
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3 ℎℎ′= 3 4 4 3 ℎℎ = 3 4 4 3 0,8 9,8ℎℎ0,18= 3 4 4 48 10− 176, 176,4 10− = 34 224,4 10− = 34 ′ = 299, 299,2 1010− = 299, 299,2 10− = 1,73 ⁄ = 173 ⁄ 32. Duah buah sistem isotermis memiliki memili ki massa molar gas A adalah 20 gr/mol dan gas B adalah 30 gr/mol. Ketika gas A diberikan tekanan 1 atm dengan masaa jenis 1.5 kg/m 3. Berapa massa jenis gas B jika diberikan tekanan 1.5 atm ? (A) 0,667 kg/m 3 (B) 1,5 kg/m 3 (C) 2,25 kg/m 3 (D) 3,375 kg/m 3 (E) 4,5 kg/m 3 Jawaban:
dik. nA = 20 gr/mol = 0,02 kg/mol = 30 gr/mol = 0,03 kg/mol
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PB = 1,5 atm
dit.
= 1,5 kg/m 3 .... ?
penyelesaian :
.=.. ..=..
dimana
=.
Pada penyelesaian ini suhu (T) diangggap sama untuk kedua gas sehingga dapat diabaikan.
..=.
, sehingga untuk gas A dapat langsung diketahui :
02 .0,08205 1 .1,5 . = 0, 0, 0 2 . 0 , 0 8205 = 1,5 / = 0,00109 010944
Nilai massa untuk kedua gas sama, sehingga dapat ditentukan massa jenis untuk gas B:
..=. 0, 0 3 .0,08205 =,/ . . = . = . 1,5 . 0,001094 33. Jarak rata-rata planet A ke sebuah pusat tata surya adalah R. Waktu yang
dibutuhkan oleh planet A mengelilingi pusat tata surya adalah kali waktu yang dibutuhkan planet B mengelilingi pusat yang sama. Jika mula-mula planet A dan B berada dalam satu baris dengan pusatnya dan bergerak searah. Berapa jarak planet A terhadap B setelah keduanya bergerak selama
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(B) 3.92 R (C) 4.31 R (D) 4.93 R (E) 5.31 R Jawaban:
Diket.
= = Dit. R antara A dan B ketika
Jawab.
TA = TB 8 TA =TB A
=R = 8 = 4 1 1 = 1 4 32
Pada saat planet putaran = 90º Maka planet B disaat B
4R
putaran = 11,25º
4R
B
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= 2cos = 4 24cos90°11.25° = 16 8 cos101.25° = 17 17 8 ∙0.195 = 17 17 1.56 = 18. 18.56 =4.308 ≈4.31 (c)
34. Bola kayu dengan massa 200 gram dijatuhkan dari ketinggian 45 cm diatas lantai, bola memantul kembali keatas dengan koefisien restitusi 0.8. pada pantulan keberapa kelajuan bola setelah pantulan menjadi sekitar 51% dari kelajuan V0 ? (A) Ke-2 (B) Ke-3 (C) Ke-4 (D) Ke-5 (E) Ke-6 Jawaban:
Diket :
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= 200 200 ℎ = 45 = 0.45 =0.8 Dit : pantulan ke berapa saat
= 51%
Jawab : o
o
= = ℎ 0=0 12 ℎ = 12 10 . 0.45 = 12 = 9 = √ 9 = 3 ⁄ = 51%
?
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=1.53 ⁄ =0.8 3×0.8=2.4 2.4×0.8=1.92 1.92×0.8=1.536 = 51%
…………...pantulan ke-1 ke-1 …….…pantulan ke-2 ke-2 ……pantulan ke-3 ke-3
Jadi, saat
pada pantulan ke-3
35. Sebuah bola logam dengan volume 0,5
10/
5x
memiliki modulus modulus bulk bulk sebesar
ketika tercelup di dalam air di dapatkan volume ola tersebut
berkurang sebesar 1 x m/
10−
kedalaman boa tersebut adalah...m (g = 10
)
(A) 1 m (B) 4 m (C) 10 m (D) 20 m (E) 40 m Jawaban:
Modulus Bulk
Apabila
sebuah benda mengalami gaya deformasi yang
egak lurus terhadap permukaan benda secara uniform, sehingga erjad perubahan volume tetapin bentuknya bentuknya tetap.
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∆
Pertama carilah nilai perubahan tekanan (
∆V / . = = 10 /
∆
)
=
Kemudian carilah kedalaman bola h=
/ = /. / / = / /
/
Karena F (N) = Massa (Kg) x Percepatan (
/
Maka, (N) = Kg
Sehingga bisa di coret
= 10 m Jadi kedalaman bola adalah (C).10 m
10
m/s pada arah sumbu x. lalu
memasuki medan listrik dengan vector medan
(Vektor) = 900 N/C yang
36. Sebuah electron mempunyai kecepatan 2 x
arahnya ke sumbu y positif . Dengan mengabaikan gaya berat pada electron , waktu yang diperluka electron untuk menempuh jarak 15 cm pada arah
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Jawaban:
Dik :
= 9 1010− 10 10− 10−
V=2x
m/s
e=1,6x
x= 15 cm = 15x
̅
m
=900 N/C
Dit : t ketika jarak 15 cm dari sumbu x ketika memasuki medan magnet Jawab : Pertama-tama kita mencari percepatan dari electron terlebih dahulu dengan rumus :
) ( , a= = = = 1,6 x 10 / kemudian dari persamaan x= dari persamaan ini kita dapat menemukan nilai t (waktu) ,
|| −− −− , −− =
=
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Kedua silinder mengglinding tanpa slip dan silindir pejal telah menempuh jarak jarak 8 cm, si silinder kosong (pipa) menempuh jarak…? (A) 10 cm (B) 8 cm (C) 6 cm (D) 5 cm (E) 4 cm Jawaban:
= 1 1 = 1 1 2 2 2 2 1 1 1 = 1 1 2 22 2 2 1 1 = 1 1 2 4 2 2 3 = 4 3 = 4 3 =
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4 =192 = 1924 = 48 = √ 4848 = 6,92 → ℎ = 90
38. Suatu benda diletakkan pada jarak
dari layar. Jika sebuah lensa
tipis konvergen diletakkan diantara benda dan layar, ada 2 posisi berbeda yang dapat menghasilkan bayangan dengan jelas pada layar. Jika jarak antara kedua posisi itu 30 cm, fokus lensa tersebut adalah... (A) 10 cm (B) 20 cm (C) 25 cm (D) 30 cm (E) 40 cm Jawaban:
Diketahui : Jarak benda pada titik A ke layar = 90 cm. Jarak titik B dengan titik A = 30 cm di depan titik A. Lensa konvergen = lensa cembung = lensa positif Ditanya : fokus lensa (f)?
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= 90 12 = 78 1 = 1 1 1= 1 1 78 12 1 = 1278 936 1 = 90 936 = 10,4 ≅ 10 = 12 = 90 30 = 90 30 = 90 30 12 = 48 1 = 1 1 1 1 1
2) Menghitung fokus lensa dengan meninjau titik B
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Sebuah sumber daya dc yang memiliki tahanan dalam
= 2
dihubungakan dengan tiga buah tahanan R yang terangkai seperti terlihat pada gambar. Nilai tahanan R agar daya disipasi pada rangkaian maksimum adalah .... (A) 2 Ohm (B) 3 Ohm (C) 5 Ohm (D) 6 Ohms (E) 8 Ohm Jawaban:
1 =111 1=3 2 =× = 40. Terdapat system dua cermin datar yaitu cermin B yang berhadapan dengan
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Pernyataan I adalah Salah Pernyataan II adalah Benar
∴
D
41. Dengan memutar lilitan kawat lebih cepat. Akan dihasilkan GGL Induksi yang lebih besar pada sebuah generator SEBAB
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kawat. Semakin cepaat pemutaran lilitan kawat. Maka s emakin Besar GGL induksi pada generator Contoh Diketahui:
= 2 Hitung besar GGL Induksi Pada generator
ɛ = ɛ =2 ɛ = ɛ 2 ɛ = 1 ɛ 2 ɛ = 2ɛ
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Jika frekuensi pada sumber AC diperbesar dengan menjaga amplitudo konstan, lapu pada rangkaian akan menyala lebih terang SEBAB Jika frekuensi diperbesar, maka reaktansi induktif induktor membesar sehingga besar arus dari sumber akan melewati lampu la mpu yang mengakibatkan lampu bertambah terang. Jawaban:
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Berdasarkan kedua persamaan diatas dapat disimpulkan bahwa frekuensi berbanding tebalik dengan arus yang menyebabkan lampu menyala redup. redup.
Pernyataan kedua salah Sesua persamaan :
=2 Maka dapat dilihat bahwa frekuensi berbanding lurus dengan rekatan
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Jawaban : D (Pernyataan 4 benar) Karena jarak antarkisi kedua kristal akan sama, walau terdapat cacat pada material tersebut. Kondisi pada gambar A dan B merupakan cacat material. Berdasarkan geometrinya, cacat pada material dapat dibagi menjadi empat kategori, yaitu cacat titik, cacat garis, cacat bidang, dan cacat volume. 1. Cacat Titik Cacat titik terdiri dari kekosongan, interstisial dan subtitutional, cacat schottky dan cacat Frenkel.
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pasangan cacat titik yang tetap berdekatan satu sama lain karena tarikan Coulomb yang kuat antara muatan yang berlawanan. 44. Seorang anak mengikat peluit dengan tali 1 m dan memutarnya dengan kecepatan 2 m/s. Peluit mengeuarkan bunyi dengan frekuensi 200 Hz. Jika ada seorang teman teman berdiri 500 m dari anak itu, maka …
(1) ketika peluit menuju teman, ia mendengar frekuensi lebih besar dari 200 Hz (2) ketika peluit menuju teman, si anak mendengar frekuensi lebih besar dari 200 Hz (3) ketika peluit menjauhi teman, ia mendengar frekuensi lebih kecil dari
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= = ⁄⁄−+ / / ∙200 340 = 342 ⁄⁄ ∙ 200 200 =198.83 c. Frekuensi yang didengar oleh si anak akan tetap 200 Hz, karena si anak tersebut dapat dikatakan sebagai sumber bunyi karena pluit tersebut berada di tangan anak tersebut.
Berdasarkan penjabaran diatas jawaban yang tepat adalah nomor (1) dan