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WE MEAN QUALITY

Fast Solution Drs. Pristiadi utomo, M.Pd

Soal OSN Fisika

Tanya :

Saya juga dilatih guru saya dengan soal-soal OSN untuk persiapan seleksi. Minta tolong penjelasan soal-soal berikut ini
Thanks Pak..

1. Suatu massa m dengan kecepatan v mendekati massa lain M ( lihat gambar). Keduanya bertumbukan secara elastis.

Dengan meninjau energi kinetik dan momentum, tentukan kecepatan akhir kedua massa tersebut. Anggap semua gerakan terjadi pada satu bidang datar yang sama.

2. Seseorang berdiri pada suatu papan dan katrol seperti pada gambar berikut. Massa papan, orang, dan katrol masing-masing adalah M, m dan μ. Anggap tali tidak bermassa. Orang menarik tali sehingga mempunyai percepatan ke atas a.
Hitung:
a. tegangan tali
b. gaya normal orang terhadap papan dan tegangan tali katrol dengan papan

3. Sebuah bandul diikat tali (l) kemudian diputar membentuk lingkaran mendatar seperti pada gambar. Jika tali membentuk sudut θ terhadap vertikal hitung frekuensi sudut gerakan ini.

4. Sebuah balok massanya m diletakan di atas bidang miring licin bermassa M seperti pada gambar. Jika balok m dari keadaan diam dilepaskan tentukan percepatan balok M meluncur (Anggap tidak ada gesekan anatar balok M dengan bidang datar).

Christ
XI IPA
SMA N 1 Semarang

Jawab

1. Anggap kecepatan akhir massa m adalah v’ dan kecepatan akhir massa M adalah V’
Menurut hukum kekekalan momentum dan kekekalan energi didapat
mv + 0 = mv’ + MV’
œ mv2 + 0 = œ mv’2 + œ MV’

Dari persamaan (1) di atas pisahkan kecepatan V’ kemudian subtitusikan ke persamaan (2), maka akan didapat
mv2 = mv’2 +
0 = (m + M)v’ - 2mvv’ + (m - M)v
0 = ((m + M)v’ - (m - M) v ) (v’ - v)

Akhirnya akan didapat kecepatan akhir kedua massa tersebut sebagai;
v’ =

V’ =

2. a) Untuk menentukan tegangan kita gunakan hukum Newton diperoleh

ΣF = ma
T – (M + m + μ) g = (M + m + μ) a
T = (M + m + μ) (g + a)

b). Untuk mementukan gaya tegangan tali kita harus meninjau perbagian.

Tinjau orang:
N - T - mg = ma
Tinjau papan:
f – N – Mg = Ma

Tinjau katrol:
2T – f – μg = μa

Dengan menggunakan ketiga persamaan di atas kita dapatkan gaya normal

N = (M + 2m + μ) (g + a)

Dan gaya tegangan tali katrol papan

f = (2M + 2m + μ) (g + a)

3. Bandul bergerak melingkar memenuhi persamaan

F = mω2r dengan r = l sin θ

Dari gambar di dapat
T cos θ = mg
T sin θ = mrω2
T sin θ = m l sin θ ω

Frekuensi sudut yang diperoleh adalah
ω =

4. Gunakan hukum II Newton

mg - Fcosθ = may
F sinθ = max
F sin θ = Max

tan θ =

tan θ =
F = g (sinθ tanθ ( + ) + )-1

Ax =

Metoda Horner

Halo, Pak Pris, saya pengin nanya nih tentang soal suku banyak yang kalau saya jawab dengan metoda Horner jawabannya jadi terlalu panjang. Adakah rumus langsungnya, Pak?
Soalnya seperti berikut ini.

Tentukan sisa pembagian :

2x3 – 4x2 + 5x + 10 : (x-1) (x-2)

Terima kasih atas bantuannya ya?

Imaniar
SMA Negeri 14 Semarang

Niar yang baik, terima kasih atas pertanyaannya. Soal seperti yang kamu tanyakan bisa dicari Smart Solution-nya. Rumus sisa pembagian yang kamu tanyakan adalah seperti ini:

S = f(b) + f(a)
Dalam soal tersebut a = 1 dan b = 2, maka harus dihitung dulu F(a) dan f(b) :

a = 1 f(1) = 2 . 13 – 4 . 12 + 5 . 1 + 10
= 2 – 4 + 5 + 10
= 13

b = 2 f(2) = 2 . 23 – 4 . 22 + 5 . 2 + 10
= 16 – 16 + 10 + 10
= 20

Jadi sisanya
S = f(b) + f(a)
= . 20 + . 13
= +
= 20x – 20 – 13x + 26
S = 7x + 6

Tips Solutions
Jika f(x) dibagi oleh (x-a) (x-b) (x-c) maka sisanya :
S = f(c) + f(b) + f(a)

Kata-kata Indah

Dibandingkan cinta, dibandingkan uang, dibandingkan kemasyhuran, aku lebih suka kebenaran. Aku duduk di depan meja yang penuh dengan makanan mewah dan anggur, para undangan yang anggun, tetapi tidak dengan kesungguhan dan kejujuran; dan aku pergi dalam keadaan lapar dari dewan yang tidak ramah itu. Keramahtamahan yang sedingin es.

Diterjemahkan dari Into the Wild
Karya Jon Krakauer
Terbitan Anchor Books, New York, 1997

About This Page

Rubrik ini terbuka untuk umum, terutama siswa SMP, SMA, SMK maupun yang sederajad. Bingung menghadapi soal-soal matematika, fisika, kimia, atau yang bersangkut paut dengan sains? Kirim aja pertanyaanmu ke ilmuwanmuda.page.tl, atau ke email pristiadiutomo@hotmail.com. Pak Pris akan dengan senang hati membantu permasalahan hidupmu

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