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Wajib.","2026-10-08T09:24:41.433Z",{"id":290,"subjectId":14,"levelId":48,"parentId":91,"slug":1448,"name":1449,"description":1450,"order":1451,"createdAt":1452,"updatedAt":1452},"matriks","Matriks","Matriks — Kelas 11 Lanjut.",13,"2026-10-08T09:24:41.441Z",{"id":1454,"subjectId":23,"levelId":48,"parentId":91,"slug":1455,"name":1456,"description":1457,"order":1451,"createdAt":1458,"updatedAt":1458},"cmuzbyhhz003k71r9s7s8evk1","rangkaian-pegas","Rangkaian Pegas","Rangkaian Pegas — Kelas 11.","2026-10-08T09:24:41.111Z",{"id":152,"subjectId":23,"levelId":48,"parentId":91,"slug":1460,"name":1461,"description":1462,"order":1463,"createdAt":1464,"updatedAt":1464},"fluida","Fluida","Fluida — Kelas 11.",14,"2026-10-08T09:24:41.113Z",{"id":266,"subjectId":14,"levelId":48,"parentId":91,"slug":1466,"name":1467,"description":1468,"order":1463,"createdAt":1469,"updatedAt":1469},"polinomial","Polinomial","Polinomial — Kelas 11 Lanjut.","2026-10-08T09:24:41.454Z",{"id":182,"subjectId":14,"levelId":48,"parentId":91,"slug":1471,"name":1472,"description":1473,"order":1474,"createdAt":1475,"updatedAt":1475},"fungsi-trigonometri","Fungsi Trigonometri","Fungsi Trigonometri — Kelas 11 Lanjut.",15,"2026-10-08T09:24:41.469Z",{"id":176,"subjectId":23,"levelId":48,"parentId":91,"slug":1477,"name":1478,"description":1479,"order":1474,"createdAt":1480,"updatedAt":1480},"gerak-harmonik-sederhana-ghs","Gerak Harmonik Sederhana (GHS)","Gerak Harmonik Sederhana (GHS) — Kelas 11.","2026-10-08T09:24:41.119Z",{"id":206,"subjectId":23,"levelId":48,"parentId":91,"slug":1482,"name":1483,"description":1484,"order":1485,"createdAt":1486,"updatedAt":1486},"gelombang-mekanik","Gelombang Mekanik","Gelombang Mekanik — Kelas 11.",16,"2026-10-08T09:24:41.132Z",{"id":272,"subjectId":14,"levelId":48,"parentId":91,"slug":1241,"name":1242,"description":1488,"order":1485,"createdAt":1489,"updatedAt":1489},"Vektor — Kelas 11 Lanjut.","2026-10-08T09:24:41.485Z",{"id":128,"subjectId":23,"levelId":48,"parentId":91,"slug":1491,"name":1492,"description":1493,"order":1494,"createdAt":1495,"updatedAt":1495},"gelombang-cahaya","Gelombang Cahaya","Gelombang Cahaya — Kelas 11.",17,"2026-10-08T09:24:41.150Z",{"id":212,"subjectId":14,"levelId":48,"parentId":91,"slug":1497,"name":1498,"description":1499,"order":1494,"createdAt":1500,"updatedAt":1500},"transformasi-geometri","Transformasi Geometri","Transformasi Geometri — Kelas 11 Lanjut.","2026-10-08T09:24:41.498Z",{"id":158,"subjectId":14,"levelId":48,"parentId":91,"slug":1502,"name":1503,"description":1504,"order":1505,"createdAt":1506,"updatedAt":1506},"fungsi-dan-pemodelannya","Fungsi dan Pemodelannya","Fungsi dan Pemodelannya — Kelas 11 Lanjut.",18,"2026-10-08T09:24:41.504Z",{"id":194,"subjectId":23,"levelId":48,"parentId":91,"slug":1508,"name":1509,"description":1510,"order":1505,"createdAt":1511,"updatedAt":1511},"optik","Optik","Optik — Kelas 11.","2026-10-08T09:24:41.161Z",{"id":68,"subjectId":14,"levelId":48,"parentId":91,"slug":1513,"name":76,"description":1514,"order":1515,"createdAt":1516,"updatedAt":1516},"barisan-dan-deret-kelas-12-wajib","Barisan dan Deret — Kelas 12 Wajib.",19,"2026-10-08T09:24:41.512Z",{"id":367,"subjectId":23,"levelId":48,"parentId":91,"slug":1518,"name":1519,"description":1520,"order":1515,"createdAt":1521,"updatedAt":1521},"suhu-dan-kalor","Suhu dan Kalor","Suhu dan Kalor — Kelas 11.","2026-10-08T09:24:41.169Z",{"id":98,"subjectId":14,"levelId":48,"parentId":91,"slug":1523,"name":1524,"description":1525,"order":1526,"createdAt":1527,"updatedAt":1527},"bunga","Bunga","Bunga — Kelas 12 Wajib.",20,"2026-10-08T09:24:41.518Z",{"id":164,"subjectId":23,"levelId":48,"parentId":91,"slug":1529,"name":1530,"description":1531,"order":1526,"createdAt":1532,"updatedAt":1532},"teori-kinetik-gas","Teori Kinetik Gas","Teori Kinetik Gas — Kelas 11.","2026-10-08T09:24:41.188Z",{"id":373,"subjectId":14,"levelId":48,"parentId":91,"slug":1534,"name":1535,"description":1536,"order":1537,"createdAt":1538,"updatedAt":1538},"investasi-dan-pinjaman","Investasi dan Pinjaman","Investasi dan Pinjaman — Kelas 12 Wajib.",21,"2026-10-08T09:24:41.525Z",{"id":391,"subjectId":23,"levelId":48,"parentId":91,"slug":1540,"name":1541,"description":1542,"order":1537,"createdAt":1543,"updatedAt":1543},"termodinamika","Termodinamika","Termodinamika — Kelas 11.","2026-10-08T09:24:41.202Z",{"id":319,"subjectId":14,"levelId":48,"parentId":91,"slug":1545,"name":1546,"description":1547,"order":1548,"createdAt":1549,"updatedAt":1549},"kaidah-pencacahan","Kaidah Pencacahan","Kaidah Pencacahan — Kelas 12 Wajib.",22,"2026-10-08T09:24:41.540Z",{"id":260,"subjectId":23,"levelId":48,"parentId":91,"slug":1551,"name":1552,"description":1553,"order":1548,"createdAt":1554,"updatedAt":1554},"listrik-statis","Listrik Statis","Listrik Statis — Kelas 12.","2026-10-08T09:24:41.215Z",{"id":230,"subjectId":23,"levelId":48,"parentId":91,"slug":1556,"name":1557,"description":1558,"order":1559,"createdAt":1560,"updatedAt":1560},"listrik-arus-searah","Listrik Arus Searah","Listrik Arus Searah — Kelas 12.",23,"2026-10-08T09:24:41.227Z",{"id":278,"subjectId":14,"levelId":48,"parentId":91,"slug":1562,"name":1411,"description":1563,"order":1559,"createdAt":1564,"updatedAt":1564},"peluang-kelas-12-wajib","Peluang — Kelas 12 Wajib.","2026-10-08T09:24:41.547Z",{"id":242,"subjectId":14,"levelId":48,"parentId":91,"slug":1566,"name":1567,"description":1568,"order":1569,"createdAt":1570,"updatedAt":1570},"geometri-analitik","Geometri Analitik","Geometri Analitik — Kelas 12 Lanjut.",24,"2026-10-08T09:24:41.553Z",{"id":236,"subjectId":23,"levelId":48,"parentId":91,"slug":1572,"name":1573,"description":1574,"order":1569,"createdAt":1575,"updatedAt":1575},"kemagnetan","Kemagnetan","Kemagnetan — Kelas 12.","2026-10-08T09:24:41.245Z",{"id":110,"subjectId":14,"levelId":48,"parentId":91,"slug":1577,"name":1578,"description":1579,"order":1580,"createdAt":1581,"updatedAt":1581},"limit","Limit","Limit — Kelas 12 Lanjut.",25,"2026-10-08T09:24:41.562Z",{"id":61,"subjectId":23,"levelId":48,"parentId":91,"slug":1583,"name":1584,"description":1585,"order":1580,"createdAt":1586,"updatedAt":1586},"listrik-ac-arus-bolak-balik","Listrik AC \u002F Arus Bolak Balik","Listrik AC \u002F Arus Bolak Balik — Kelas 12.","2026-10-08T09:24:41.263Z",{"id":301,"subjectId":23,"levelId":48,"parentId":91,"slug":1588,"name":1589,"description":1590,"order":1591,"createdAt":1592,"updatedAt":1592},"gelombang-elektromagnetik","Gelombang Elektromagnetik","Gelombang Elektromagnetik — Kelas 12.",26,"2026-10-08T09:24:41.273Z",{"id":116,"subjectId":14,"levelId":48,"parentId":91,"slug":1594,"name":1595,"description":1596,"order":1591,"createdAt":1597,"updatedAt":1597},"turunan-fungsi","Turunan Fungsi","Turunan Fungsi — Kelas 12 Lanjut.","2026-10-08T09:24:41.575Z",{"id":325,"subjectId":14,"levelId":48,"parentId":91,"slug":1599,"name":1600,"description":1601,"order":1602,"createdAt":1603,"updatedAt":1603},"aplikasi-turunan","Aplikasi Turunan","Aplikasi Turunan — Kelas 12 Lanjut.",27,"2026-10-08T09:24:41.587Z",{"id":355,"subjectId":23,"levelId":48,"parentId":91,"slug":1605,"name":1606,"description":1607,"order":1602,"createdAt":1608,"updatedAt":1608},"pengantar-instrumental-digital","Pengantar Instrumental Digital","Pengantar Instrumental Digital — Kelas 12.","2026-10-08T09:24:41.283Z",{"id":200,"subjectId":14,"levelId":48,"parentId":91,"slug":1610,"name":1611,"description":1612,"order":1613,"createdAt":1614,"updatedAt":1614},"integral","Integral","Integral — Kelas 12 Lanjut.",28,"2026-10-08T09:24:41.599Z",{"id":343,"subjectId":23,"levelId":48,"parentId":91,"slug":1616,"name":1617,"description":1618,"order":1613,"createdAt":1619,"updatedAt":1619},"relativitas-khusus","Relativitas Khusus","Relativitas Khusus — Kelas 12.","2026-10-08T09:24:41.291Z",{"id":349,"subjectId":23,"levelId":48,"parentId":91,"slug":1621,"name":1622,"description":1623,"order":1624,"createdAt":1625,"updatedAt":1625},"gejala-kuantum","Gejala Kuantum","Gejala Kuantum — Kelas 12.",29,"2026-10-08T09:24:41.303Z",{"id":248,"subjectId":14,"levelId":48,"parentId":91,"slug":1627,"name":1628,"description":1629,"order":1624,"createdAt":1630,"updatedAt":1630},"penerapan-integral","Penerapan Integral","Penerapan Integral — Kelas 12 Lanjut.","2026-10-08T09:24:41.607Z",{"id":140,"subjectId":14,"levelId":48,"parentId":91,"slug":1632,"name":1633,"description":1634,"order":1635,"createdAt":1636,"updatedAt":1636},"analisis-data-peluang","Analisis Data & Peluang","Analisis Data & Peluang — Kelas 12 Lanjut.",30,"2026-10-08T09:24:41.611Z",{"id":284,"subjectId":23,"levelId":48,"parentId":91,"slug":1638,"name":1639,"description":1640,"order":1635,"createdAt":1641,"updatedAt":1641},"fisika-inti-dan-radioaktivitas","Fisika Inti dan Radioaktivitas","Fisika Inti dan Radioaktivitas — Kelas 12.","2026-10-08T09:24:41.318Z",{"id":1643,"subjectId":14,"levelId":48,"parentId":91,"slug":1644,"name":1645,"description":1646,"order":1647,"createdAt":1648,"updatedAt":1648},"cmuzbyhw700gw71r9o87lq7vd","logaritma","Logaritma","Logaritma — Kelas 12 Lanjut.",31,"2026-10-08T09:24:41.623Z",{"id":1650,"subjectId":14,"levelId":48,"parentId":91,"slug":1651,"name":1652,"description":1653,"order":1654,"createdAt":1655,"updatedAt":1655},"cmuzbyhw900gy71r9d9sjh9ie","program-linier","Program Linier","Program Linier — Kelas 12 Lanjut.",32,"2026-10-08T09:24:41.625Z",{"id":1657,"subjectId":14,"levelId":48,"parentId":91,"slug":1658,"name":1659,"description":1660,"order":1661,"createdAt":1662,"updatedAt":1662},"cmuzbyhwb00h071r97764r7hr","bangun-ruang","Bangun Ruang","Bangun Ruang — Kelas 12 Lanjut.",33,"2026-10-08T09:24:41.627Z",{"id":1664,"subjectId":32,"levelId":91,"parentId":91,"slug":1665,"name":1666,"description":1667,"order":1668,"createdAt":1669,"updatedAt":1669},"demo-v2-topic-pemrograman-sd-1","demo-v2-sd-1","Algoritma: Urutan Perintah yang Jelas","Susun instruksi sederhana, lalu telusuri hasilnya selangkah demi selangkah.",100,"2026-10-08T10:03:56.954Z",{"id":1671,"subjectId":14,"levelId":48,"parentId":91,"slug":1672,"name":1673,"description":1674,"order":1668,"createdAt":1675,"updatedAt":1675},"demo-v2-topic-matematika-sma-1","demo-v2-sma-1","Fungsi kuadrat: akar, puncak, dan bentuk grafik","Menghubungkan bentuk umum, faktor, dan kuadrat sempurna untuk memahami parabola dan nilai optimum.","2026-10-08T10:03:56.485Z",{"id":1677,"subjectId":32,"levelId":48,"parentId":91,"slug":1672,"name":1678,"description":1679,"order":1668,"createdAt":1680,"updatedAt":1680},"demo-v2-topic-pemrograman-sma-1","Fungsi: Memisahkan Masukan, Proses, dan Hasil","Buat fungsi Python yang bisa dipakai ulang dan bedakan return dari print.","2026-10-08T10:03:57.108Z",{"id":1682,"subjectId":23,"levelId":42,"parentId":91,"slug":1683,"name":1684,"description":1685,"order":1668,"createdAt":1686,"updatedAt":1686},"demo-v2-topic-fisika-smp-1","demo-v2-smp-1","Gerak Lurus: Jarak, Perpindahan, dan Grafik Posisi","Membedakan kelajuan dan kecepatan rata-rata serta membaca arti kemiringan grafik posisi terhadap waktu.","2026-10-08T10:03:56.729Z",{"id":1688,"subjectId":23,"levelId":48,"parentId":91,"slug":1672,"name":1689,"description":1690,"order":1668,"createdAt":1691,"updatedAt":1691},"demo-v2-topic-fisika-sma-1","Hukum II Newton dan Gesekan pada Bidang Datar","Membuat diagram gaya, menentukan resultan, dan membedakan gesekan statis dari gesekan kinetik.","2026-10-08T10:03:56.801Z",{"id":1693,"subjectId":23,"levelId":91,"parentId":91,"slug":1665,"name":1694,"description":1695,"order":1668,"createdAt":1696,"updatedAt":1696},"demo-v2-topic-fisika-sd-1","Mengukur Panjang dan Volume Benda","Membaca penggaris, memakai satuan baku, dan menghitung isi kubus melalui susunan kubus kecil.","2026-10-08T10:03:56.657Z",{"id":1698,"subjectId":32,"levelId":53,"parentId":91,"slug":1699,"name":1700,"description":1701,"order":1668,"createdAt":1702,"updatedAt":1702},"demo-v2-topic-pemrograman-kuliah-1","demo-v2-kuliah-1","Pencarian Linear, Set, dan Biaya Operasi","Bandingkan cara mencari anggota data melalui langkah yang benar-benar dikerjakan.","2026-10-08T10:03:57.182Z",{"id":1704,"subjectId":14,"levelId":42,"parentId":91,"slug":1683,"name":1705,"description":1706,"order":1668,"createdAt":1707,"updatedAt":1707},"demo-v2-topic-matematika-smp-1","Perbandingan senilai dan berbalik nilai","Memilih model dari besaran yang tetap: rasio tetap untuk senilai dan hasil kali tetap untuk berbalik nilai.","2026-10-08T10:03:56.412Z",{"id":1709,"subjectId":14,"levelId":53,"parentId":91,"slug":1699,"name":1710,"description":1711,"order":1668,"createdAt":1712,"updatedAt":1712},"demo-v2-topic-matematika-kuliah-1","Turunan sebagai laju sesaat dan pendekatan lokal","Menurunkan fungsi dari limit hasil bagi selisih serta menghubungkan kemiringan, kecepatan, dan garis singgung.","2026-10-08T10:03:56.556Z",{"id":1714,"subjectId":32,"levelId":42,"parentId":91,"slug":1683,"name":1715,"description":1716,"order":1668,"createdAt":1717,"updatedAt":1717},"demo-v2-topic-pemrograman-smp-1","Variabel, Tipe Data, dan Keluaran Python","Simpan nilai dengan nama yang jelas dan bedakan angka dari teks.","2026-10-08T10:03:57.035Z",{"id":1719,"subjectId":23,"levelId":53,"parentId":91,"slug":1699,"name":1720,"description":1721,"order":1668,"createdAt":1722,"updatedAt":1722},"demo-v2-topic-fisika-kuliah-1","Vektor Tiga Dimensi dan Usaha sebagai Hasil Kali Titik","Menghubungkan komponen, panjang vektor, vektor satuan, proyeksi, dan makna fisik hasil kali titik.","2026-10-08T10:03:56.874Z",{"id":1724,"subjectId":14,"levelId":48,"parentId":91,"slug":1725,"name":1726,"description":1727,"order":1728,"createdAt":1729,"updatedAt":1729},"demo-v2-topic-matematika-sma-2","demo-v2-sma-2","Eksponen dan logaritma: mencari pangkat yang belum diketahui","Membedakan kenaikan tetap dan faktor tetap, lalu membaca logaritma sebagai operasi balik eksponen.",101,"2026-10-08T10:03:56.507Z",{"id":1731,"subjectId":14,"levelId":42,"parentId":91,"slug":1732,"name":1733,"description":1734,"order":1728,"createdAt":1735,"updatedAt":1735},"demo-v2-topic-matematika-smp-2","demo-v2-smp-2","Fungsi linear: gradien dan titik potong","Membaca y = mx + b sebagai perubahan tetap, menghitung gradien dari dua titik, dan memeriksa grafik.","2026-10-08T10:03:56.434Z",{"id":1737,"subjectId":23,"levelId":91,"parentId":91,"slug":1738,"name":1739,"description":1740,"order":1728,"createdAt":1741,"updatedAt":1741},"demo-v2-topic-fisika-sd-2","demo-v2-sd-2","Gaya: Dorongan, Tarikan, dan Perubahan Gerak","Mengenali siapa yang memberikan gaya, arah gaya, dan perubahan gerak atau bentuk yang dapat diamati.","2026-10-08T10:03:56.679Z",{"id":1743,"subjectId":23,"levelId":48,"parentId":91,"slug":1725,"name":1744,"description":1745,"order":1728,"createdAt":1746,"updatedAt":1746},"demo-v2-topic-fisika-sma-2","Gerak Peluru: Dua Arah dengan Satu Waktu","Menguraikan kecepatan awal, menghitung waktu terbang, tinggi maksimum, dan jangkauan untuk model ideal.","2026-10-08T10:03:56.824Z",{"id":1748,"subjectId":14,"levelId":53,"parentId":91,"slug":1749,"name":1750,"description":1751,"order":1728,"createdAt":1752,"updatedAt":1752},"demo-v2-topic-matematika-kuliah-2","demo-v2-kuliah-2","Integral tentu: akumulasi dan luas bertanda","Menghubungkan jumlah Riemann, antiturunan, dan teorema dasar kalkulus tanpa menyamakan perpindahan dengan jarak.","2026-10-08T10:03:56.578Z",{"id":1754,"subjectId":32,"levelId":53,"parentId":91,"slug":1749,"name":1755,"description":1756,"order":1728,"createdAt":1757,"updatedAt":1757},"demo-v2-topic-pemrograman-kuliah-2","Kelas dan Invarian pada Objek","Kelola keadaan dan perilaku bersama, lalu jaga agar objek selalu valid.","2026-10-08T10:03:57.206Z",{"id":1759,"subjectId":32,"levelId":48,"parentId":91,"slug":1725,"name":1760,"description":1761,"order":1728,"createdAt":1762,"updatedAt":1762},"demo-v2-topic-pemrograman-sma-2","List dan Dictionary untuk Mengolah Data","Pilih struktur data sesuai cara mengaksesnya dan hitung ringkasan data.","2026-10-08T10:03:57.131Z",{"id":1764,"subjectId":23,"levelId":42,"parentId":91,"slug":1732,"name":1765,"description":1766,"order":1728,"createdAt":1767,"updatedAt":1767},"demo-v2-topic-fisika-smp-2","Massa Jenis: Menghubungkan Massa dan Volume","Menghitung massa jenis, mengukur volume dengan perpindahan air, dan menjaga konsistensi satuan.","2026-10-08T10:03:56.750Z",{"id":1769,"subjectId":23,"levelId":53,"parentId":91,"slug":1749,"name":1770,"description":1771,"order":1728,"createdAt":1772,"updatedAt":1772},"demo-v2-topic-fisika-kuliah-2","Osilasi Harmonik Sederhana: Fase, Turunan, dan Energi","Menganalisis model x = A cos(ωt), menurunkan kecepatan dan percepatan, serta memeriksa kekekalan energi.","2026-10-08T10:03:56.896Z",{"id":1774,"subjectId":32,"levelId":91,"parentId":91,"slug":1738,"name":1775,"description":1776,"order":1728,"createdAt":1777,"updatedAt":1777},"demo-v2-topic-pemrograman-sd-2","Pengulangan: Langkah yang Dikerjakan Berkali-kali","Kenali pola berulang dan hitung hasil tiap putaran tanpa kehilangan jejak.","2026-10-08T10:03:56.978Z",{"id":1779,"subjectId":32,"levelId":42,"parentId":91,"slug":1732,"name":1780,"description":1781,"order":1728,"createdAt":1782,"updatedAt":1782},"demo-v2-topic-pemrograman-smp-2","Percabangan Python dan Batas Keputusan","Tulis if, elif, dan else serta uji nilai di sekitar batas.","2026-10-08T10:03:57.057Z",{"id":1784,"subjectId":23,"levelId":48,"parentId":91,"slug":1785,"name":1786,"description":1787,"order":1788,"createdAt":1789,"updatedAt":1789},"demo-v2-topic-fisika-sma-3","demo-v2-sma-3","Hukum Ohm, Daya, dan Energi pada Resistor","Menghubungkan tegangan, arus, hambatan, dan energi listrik tanpa mencampurkan satuan volt, ampere, watt, dan joule.",102,"2026-10-08T10:03:56.846Z",{"id":1791,"subjectId":32,"levelId":48,"parentId":91,"slug":1785,"name":1792,"description":1793,"order":1788,"createdAt":1794,"updatedAt":1794},"demo-v2-topic-pemrograman-sma-3","Membaca Berkas dan Menangani Masukan Salah","Ubah baris teks menjadi angka dan tangani kesalahan yang bisa diperkirakan.","2026-10-08T10:03:57.153Z",{"id":1796,"subjectId":14,"levelId":48,"parentId":91,"slug":1785,"name":1797,"description":1798,"order":1788,"createdAt":1799,"updatedAt":1799},"demo-v2-topic-matematika-sma-3","Peluang: ruang sampel, kejadian, dan pengambilan bertahap","Menghitung peluang melalui hasil yang sama mungkin dan memahami pengaruh pengembalian pada pengambilan kedua.","2026-10-08T10:03:56.528Z",{"id":1801,"subjectId":32,"levelId":53,"parentId":91,"slug":1802,"name":1803,"description":1804,"order":1788,"createdAt":1805,"updatedAt":1805},"demo-v2-topic-pemrograman-kuliah-3","demo-v2-kuliah-3","Pengujian Otomatis dan Kasus Batas","Uji kontrak fungsi dengan contoh biasa, batas, dan masukan tidak sah.","2026-10-08T10:03:57.229Z",{"id":1807,"subjectId":32,"levelId":91,"parentId":91,"slug":1808,"name":1809,"description":1810,"order":1788,"createdAt":1811,"updatedAt":1811},"demo-v2-topic-pemrograman-sd-3","demo-v2-sd-3","Percabangan: Memilih Tindakan dengan Syarat","Gunakan pertanyaan ya atau tidak untuk menentukan tindakan yang tepat.","2026-10-08T10:03:57.006Z",{"id":1813,"subjectId":32,"levelId":42,"parentId":91,"slug":1814,"name":1815,"description":1816,"order":1788,"createdAt":1817,"updatedAt":1817},"demo-v2-topic-pemrograman-smp-3","demo-v2-smp-3","Perulangan for dan Akumulator","Hitung total data dengan jejak putaran yang dapat diperiksa.","2026-10-08T10:03:57.079Z",{"id":1819,"subjectId":23,"levelId":91,"parentId":91,"slug":1808,"name":1820,"description":1821,"order":1788,"createdAt":1822,"updatedAt":1822},"demo-v2-topic-fisika-sd-3","Suhu dan Perpindahan Kalor di Sekitar Kita","Membaca perubahan suhu dan membedakan konduksi, konveksi, serta radiasi melalui kejadian sehari-hari.","2026-10-08T10:03:56.700Z",{"id":1824,"subjectId":14,"levelId":42,"parentId":91,"slug":1814,"name":1825,"description":1826,"order":1788,"createdAt":1827,"updatedAt":1827},"demo-v2-topic-matematika-smp-3","Teorema Pythagoras dan jarak diagonal","Menentukan sisi segitiga siku-siku dengan kuadrat panjang, lalu memeriksa hasil melalui geometri dan satuan.","2026-10-08T10:03:56.456Z",{"id":1829,"subjectId":23,"levelId":53,"parentId":91,"slug":1802,"name":1830,"description":1831,"order":1788,"createdAt":1832,"updatedAt":1832},"demo-v2-topic-fisika-kuliah-3","Usaha Gaya Berubah: Integral dan Teorema Energi Kinetik","Menghitung luas bertanda di bawah grafik gaya, menghubungkannya dengan integral, dan menentukan kelajuan akhir.","2026-10-08T10:03:56.918Z",{"id":1834,"subjectId":23,"levelId":42,"parentId":91,"slug":1814,"name":1835,"description":1836,"order":1788,"createdAt":1837,"updatedAt":1837},"demo-v2-topic-fisika-smp-3","Usaha dan Energi: Memeriksa Perubahan dengan Joule","Menghitung usaha gaya searah atau berlawanan, energi gerak, dan perubahan energi ketika benda diangkat.","2026-10-08T10:03:56.772Z",{"id":1839,"subjectId":14,"levelId":53,"parentId":91,"slug":1802,"name":1840,"description":1841,"order":1788,"createdAt":1842,"updatedAt":1842},"demo-v2-topic-matematika-kuliah-3","Vektor tiga dimensi dan hasil kali titik","Membaca komponen, menghitung panjang dan sudut, serta menafsirkan hasil kali titik sebagai keselarasan arah.","2026-10-08T10:03:56.615Z",[],{"id":1845,"type":1846,"slug":1847,"title":1770,"excerpt":1771,"coverUrl":91,"status":1848,"publishedAt":1849,"featured":4,"subjectId":23,"blocks":1850,"seoTitle":91,"seoDescription":91,"readingMinutes":57,"order":29,"createdAt":1900,"updatedAt":1900,"subject":1901,"levels":1902,"topics":1904,"tags":1906,"author":91,"resolved":1907,"related":1926},"demo-v2-m-fisika-kuliah-2","MATERIAL","demo-materi-fisika-kuliah-2","PUBLISHED","2026-10-08T10:03:56.912Z",[1851,1856,1860,1864,1871,1878,1882,1886,1890,1894],{"id":1852,"data":1853,"type":1855},"section-1",{"markdown":1854},"## Tujuan dan prasyarat\n\nKamu akan menghubungkan gaya pemulih dengan persamaan osilasi, menentukan periode dan frekuensi, serta memperoleh kecepatan dan percepatan dari turunan posisi. Prasyaratnya adalah kalkulus dasar, trigonometri dalam radian, hukum II Newton, dan energi pegas. Kita memakai pegas ideal linear, massa tetap, tanpa redaman atau gaya penggerak luar, dan posisi diukur dari titik setimbang.\n","text",{"id":1857,"data":1858,"type":1855},"section-2",{"markdown":1859},"## Dari gaya pemulih ke persamaan gerak\n\nGaya pegas relatif terhadap titik setimbang adalah $F=-kx$. Konstanta k bersatuan N\u002Fm dan x dalam meter. Tanda negatif menyatakan gaya menuju titik setimbang, berlawanan dengan simpangan. Hukum II Newton memberi $m\\ddot x=-kx$, atau $\\ddot x+\\omega^2x=0$, dengan $\\omega=\\sqrt{k\u002Fm}$. Dua titik di atas x berarti turunan kedua terhadap waktu, yaitu percepatan.\n\nSolusi umumnya $x(t)=A\\cos(\\omega t+\\phi)$. A adalah amplitudo maksimum dalam m, $\\omega$ frekuensi sudut dalam rad\u002Fs, dan $\\phi$ fase awal dalam radian. Visual menggunakan $\\phi=0$, jadi benda mulai pada $x=A$ dengan kecepatan nol. Solusi ini bukan keadaan awal paling umum; memilih fase nol berarti kita sudah menentukan cara awal geraknya.\n\nPeriode $T=2\\pi\u002F\\omega$ bersatuan sekon. Frekuensi biasa $f=1\u002FT=\\omega\u002F(2\\pi)$ bersatuan hertz, Hz. Frekuensi sudut 2 rad\u002Fs tidak sama dengan 2 Hz, karena satu putaran fase lengkap memerlukan $2\\pi$ radian. Dalam model pegas linear ini, mengubah amplitudo tidak mengubah periode jika k dan m tetap.\n",{"id":1861,"data":1862,"type":1855},"section-3",{"markdown":1863},"## Turunan menjelaskan perubahan gerak\n\nUntuk fase nol, $v=\\dot x=-A\\omega\\sin(\\omega t)$ dan $a=\\ddot x=-A\\omega^2\\cos(\\omega t)=-\\omega^2x$. Kelajuan maksimum $A\\omega$ terjadi saat melewati titik setimbang. Besar percepatan maksimum $A\\omega^2$ terjadi di simpangan ekstrem. Di ekstrem, kecepatan nol tetapi percepatan tidak nol. Di titik setimbang, percepatan nol tetapi kelajuan justru maksimum. Dua pernyataan ini sering tertukar.\n\nEnergi total $E=\\tfrac12mv^2+\\tfrac12kx^2=\\tfrac12kA^2$ tetap untuk model tanpa redaman. Energi kinetik dan potensial saling bertukar. Pada sistem nyata dengan gesekan, amplitudo dapat mengecil; visual ini tidak menunjukkan mekanisme tersebut. Jika posisi diukur dari setimbang pada pegas vertikal, model simpangan masih serupa, tetapi gravitasi telah menentukan pergeseran posisi setimbangnya.\n",{"id":1865,"data":1866,"type":1870},"visual-guide",{"title":1867,"variant":1868,"markdown":1869},"Eksplorasi visual","info","Model memakai x(t) = A cos(ωt), fase awal nol, dan tanpa redaman. Pada A = 1 m serta ω = 2 rad\u002Fs, geser waktu ke sekitar 0,785 s: x = 0; hitung v = −2 m\u002Fs dan a = 0 di catatan. Pada 1,571 s, x ≈ −1 m. Periode 3,142 s. Ubah A saja dan bandingkan tinggi grafik tanpa mengubah periode. Ubah ω menjadi 4 rad\u002Fs: periode menjadi 1,571 s. Grafik dan kursor menyajikan posisi; nilai kecepatan dan percepatan diperoleh dari turunan.","callout",{"id":1872,"data":1873,"type":1877},"visual",{"height":1874,"assetId":1875,"caption":1876},480,"demo-v2-asset-oscillation","Simpangan pada osilasi harmonik","interactive",{"id":1879,"data":1880,"type":1855},"section-4",{"markdown":1881},"## Contoh 1: setelan awal visual\n\nAmbil A = 1 m dan $\\omega=2$ rad\u002Fs. Periode $T=\\pi\\approx3{,}142$ s dan frekuensi $f=1\u002F\\pi\\approx0{,}318$ Hz. Pada $t=T\u002F4=\\pi\u002F4\\approx0{,}785$ s, fase $\\omega t=\\pi\u002F2$. Posisi nol, kecepatan −2 m\u002Fs, dan percepatan nol. Cek tanda: benda mulai dari x positif dan sedang menuju arah negatif. Pada t = T\u002F2, posisi −1 m, kecepatan nol, dan percepatan +4 m\u002Fs² menuju setimbang.\n",{"id":1883,"data":1884,"type":1855},"section-5",{"markdown":1885},"## Contoh 2: pegas dengan parameter fisik\n\nMassa 0,5 kg terpasang pada pegas k = 8 N\u002Fm dengan amplitudo 0,2 m. Frekuensi sudut $\\sqrt{8\u002F0{,}5}=4$ rad\u002Fs. Periode $T=2\\pi\u002F4\\approx1{,}571$ s. Kelajuan maksimum $v_{\\max}=0{,}2(4)=0{,}8$ m\u002Fs. Energi total $E=\\tfrac12(8)(0{,}2)^2=0{,}16$ J. Pemeriksaan di setimbang: $\\tfrac12(0{,}5)(0{,}8)^2=0{,}16$ J, sama dengan energi potensial pada simpangan maksimum. Visual boleh mengubah A dan ω; penentuan k serta m tambahan merupakan interpretasi fisik model.\n",{"id":1887,"data":1888,"type":1855},"section-6",{"markdown":1889},"## Kekeliruan dan cek mandiri\n\nGerak bolak-balik tidak otomatis harmonik sederhana; hubungan percepatan dengan simpangan harus linear dan berlawanan arah. Ringkasnya, bedakan A, ω, f, dan fase. Bila A dilipatgandakan pada ω tetap, periode tetap, kelajuan maksimum menjadi dua kali, dan energi menjadi empat kali jika k tetap. Jelaskan tiga hasil ini dari rumus, lalu bandingkan dengan visual.",{"id":1891,"data":1892,"type":1855},"sources",{"markdown":1893},"## Sumber belajar\n\n- [OpenStax University Physics Volume 1 — Simple Harmonic Motion](https:\u002F\u002Fopenstax.org\u002Fbooks\u002Funiversity-physics-volume-1\u002Fpages\u002F15-1-simple-harmonic-motion)\n- [OpenStax University Physics Volume 1 — Energy in Simple Harmonic Motion](https:\u002F\u002Fopenstax.org\u002Fbooks\u002Funiversity-physics-volume-1\u002Fpages\u002F15-2-energy-in-simple-harmonic-motion)\n\nPenjelasan dan contoh disusun ulang untuk materi ini; sumber dapat dibuka untuk belajar lebih lanjut.",{"id":1895,"data":1896,"type":1899},"practice",{"title":1897,"questionSetId":1898},"Cek pemahaman: Osilasi Harmonik Sederhana: Fase, Turunan, dan Energi","demo-v2-p-fisika-kuliah-2","quiz","2026-10-08T10:03:56.913Z",{"id":23,"slug":24,"name":25,"color":28,"icon":27},[1903],{"id":53,"slug":54,"name":55},[1905],{"id":1769,"slug":1749,"name":1770,"subjectId":23},[],{"assets":1908,"videos":1919,"questionSets":1920},{"demo-v2-asset-oscillation":1909},{"id":1875,"slug":1910,"kind":1911,"title":1876,"description":1912,"url":91,"posterUrl":91,"config":1913,"subject":1918},"demo-oscillation","GRAPH_2D","Amati x(t) = A cos(ωt), pengaruh amplitudo, dan hubungan frekuensi sudut dengan periode.",{"a":29,"b":20,"c":20,"xMax":1249,"xMin":1914,"yMax":1249,"yMin":1914,"angle":1915,"model":1916,"omega":38,"slope":29,"speed":1526,"gravity":1917,"amplitude":29,"intercept":20},-5,45,"oscillation",9.8,{"id":23,"slug":24,"name":25},{},{"demo-v2-p-fisika-kuliah-2":1921},{"id":1898,"slug":1922,"title":1923,"mode":1924,"description":1925,"questionCount":57,"durationMinutes":91},"demo-latihan-fisika-kuliah-2","Latihan: Osilasi Harmonik Sederhana: Fase, Turunan, dan Energi","PRACTICE","Tiga soal Fisika Kuliah dengan penalaran, langkah hitung, dan pembahasan pilihan yang keliru.",[1927,1942,1953,1964],{"id":1928,"type":1929,"slug":1930,"title":1931,"excerpt":1932,"coverUrl":91,"status":1848,"publishedAt":1933,"featured":5,"readingMinutes":1109,"order":20,"updatedAt":1934,"subject":1935,"levels":1936,"topics":1940,"tags":1941},"demo-v2-a-fisika","ARTICLE","demo-artikel-fisika","Belajar Fisika dari Pengamatan ke Model","Panduan menyusun pertanyaan, mencatat satuan, menguji prediksi, dan membaca perbedaan antara model ideal dengan pengukuran nyata.","2026-10-08T10:03:56.946Z","2026-10-08T10:03:56.948Z",{"id":23,"slug":24,"name":25,"color":28,"icon":27},[1937,1938,1939],{"id":42,"slug":43,"name":44},{"id":48,"slug":49,"name":50},{"id":53,"slug":54,"name":55},[],[],{"id":1943,"type":1846,"slug":1944,"title":1830,"excerpt":1831,"coverUrl":91,"status":1848,"publishedAt":1945,"featured":4,"readingMinutes":57,"order":38,"updatedAt":1946,"subject":1947,"levels":1948,"topics":1950,"tags":1952},"demo-v2-m-fisika-kuliah-3","demo-materi-fisika-kuliah-3","2026-10-08T10:03:56.934Z","2026-10-08T10:03:56.935Z",{"id":23,"slug":24,"name":25,"color":28,"icon":27},[1949],{"id":53,"slug":54,"name":55},[1951],{"id":1829,"slug":1802,"name":1830,"subjectId":23},[],{"id":1954,"type":1846,"slug":1955,"title":1720,"excerpt":1721,"coverUrl":91,"status":1848,"publishedAt":1956,"featured":5,"readingMinutes":57,"order":20,"updatedAt":1957,"subject":1958,"levels":1959,"topics":1961,"tags":1963},"demo-v2-m-fisika-kuliah-1","demo-materi-fisika-kuliah-1","2026-10-08T10:03:56.890Z","2026-10-08T10:03:56.891Z",{"id":23,"slug":24,"name":25,"color":28,"icon":27},[1960],{"id":53,"slug":54,"name":55},[1962],{"id":1719,"slug":1699,"name":1720,"subjectId":23},[],{"id":1965,"type":1846,"slug":1966,"title":1786,"excerpt":1787,"coverUrl":91,"status":1848,"publishedAt":1967,"featured":4,"readingMinutes":57,"order":38,"updatedAt":1968,"subject":1969,"levels":1970,"topics":1972,"tags":1974},"demo-v2-m-fisika-sma-3","demo-materi-fisika-sma-3","2026-10-08T10:03:56.861Z","2026-10-08T10:03:56.862Z",{"id":23,"slug":24,"name":25,"color":28,"icon":27},[1971],{"id":48,"slug":49,"name":50},[1973],{"id":1784,"slug":1785,"name":1786,"subjectId":23},[]]