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alabileceğini, ancak bu işin hızla olmayacağını ve deneyerek ilerleyebileceğini belirtiyor.","Öğrencilerin yoğun ders programı nedeniyle soru bankalarını hemen parçalamaları beklenmediğini, sadece onların işini kolaylaştırmaya çalıştıklarını söylüyor.","TYT Fizik Kampının 55-57 günde, AYT Fizik Kampının ise 2,5 ayda bittiğini, 2023'ün herkes için güzel olacağına inandığını ifade ediyor."]},"beginTime":68,"endTime":167,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=68&ask_summarization=1"},{"index":2,"title":"Fizik Sorusu Çözümü","list":{"type":"unordered","items":["Düşey kesiti verilen, farklı yüzeylerle kaplanmış bir ray üzerinde serbest bırakılan cismin duracağı noktayı bulma sorusunu çözüyor.","Soruda verilen sürtünme değerlerini kullanarak potansiyel enerjinin kinetik enerjiye dönüşmesi ve sonra ısıya dönüşmesini açıklıyor.","Kütle artırsa bile cismin duracağı noktanın değişmeyeceğini, çünkü sürtünme kuvvetinin de arttığını ve bu durumun sonucunda M noktasında duracağını belirtiyor."]},"beginTime":167,"endTime":355,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=167&ask_summarization=1"},{"index":3,"title":"İtme Momentum Konusuna Giriş","list":{"type":"unordered","items":["İtme ve momentum konusunun kolay ve rahat bir konu olduğunu, ilk iki sayfada temel bilgilerin verileceğini söylüyor.","Konunun Newton mekaniği ile ilişkili olduğunu ve bazen enerji konularıyla da kesiştiğini belirtiyor.","14 sayfa boyunca konuşacaklarını, zor kazanımlar olmadığını ve sayısal işlemlerin karmaşık olmayacağını ifade ediyor."]},"beginTime":355,"endTime":462,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=355&ask_summarization=1"},{"index":4,"title":"Çizgisel Momentum","list":{"type":"unordered","items":["Çizgisel momentum, bir cismin kütlesi ile hızının çarpımı olarak tanımlanır ve p harfi ile gösterilir (p = m × v).","Momentum vektörel bir büyüklüktür, kütlenin skaler, hızın ise vektörel olduğu için yön önemlidir.","Momentumun birimi kilogram metre bölü saniyedir ve pratikte \"kırk 'lık momentum\" gibi kısaltmalarla ifade edilir."]},"beginTime":481,"endTime":576,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=481&ask_summarization=1"},{"index":5,"title":"Momentumun Önemi","list":{"type":"unordered","items":["Çizgisel momentum büyük olan cisimleri durdurmak için uygulanması gereken kuvvet daha büyüktür.","Aynı hızda giden bir kuş ve bir araç, araçın momentumu daha büyük olduğu için duvara çarptığında duvarı yıkabilirken kuş durur.","Büyük gemiler karaya yaklaşmadan önce 15-20 km kala motorlarını durdururlar çünkü momentumu büyük olduğu için durması uzun sürer."]},"beginTime":576,"endTime":717,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=576&ask_summarization=1"},{"index":6,"title":"İtme Kavramı","list":{"type":"unordered","items":["İtme, bir cisme etki eden net kuvvet ile kuvvetin etki süresinin çarpımından oluşan fiziksel büyüklüktür (İ = F × Δt).","İtme, momentumdaki değişimdir ve hem büyüklük hem de yön değişimi olduğunda oluşur.","İtme kuvveti değil, kuvvetin uygulanma süresi ile çarpımıdır."]},"beginTime":717,"endTime":977,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=717&ask_summarization=1"},{"index":7,"title":"İtmenin Örnekleri","list":{"type":"unordered","items":["Tenis topu duvara çarptığında momentumu değişir, örneğin 10'luk momentumla gelen top 6'luk momentumla geri döner.","İtme hesaplanırken momentum değişimi (Δp = p_son - p_ilk) kullanılır ve vektörel hesaplama yapılır.","Bir cismin yönü değişse bile momentum değişimi vardır çünkü momentum vektörel bir büyüklüktür."]},"beginTime":977,"endTime":1221,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=977&ask_summarization=1"},{"index":8,"title":"İtme ve Çizgisel Momentum İlişkisi","list":{"type":"unordered","items":["İtme ile çizgisel momentum arasında bir ilişki kurulabilir: İtme = momentumdaki değişim (F × Δt = m × Δv).","Bu formül dinamikten gelmektedir ve F × a ilişkisinden türetilmiştir.","İtme kuvveti değil, ortalama kuvvetin temas süresi ile çarpımıdır."]},"beginTime":1256,"endTime":1322,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1256&ask_summarization=1"},{"index":9,"title":"İtme ve Momentum Örnekleri","list":{"type":"unordered","items":["Bir cisme itme uygulandığında, cismin çizgisel momentumu değişir; bu değişiklik yön veya sayısal olarak olabilir.","Golf topu örneğinde, 400 Newton kuvvetle 1 saniye temas süresiyle vurulduğunda, 2 kg ağırlığında top 2 m/s hızla hareket eder.","Okçuluk örneğinde, 300 Newton kuvvetle 1 saniye temas süresiyle vurulduğunda, 1 kg ağırlığında ok 3 m/s hızla ayrılır."]},"beginTime":1322,"endTime":1637,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1322&ask_summarization=1"},{"index":10,"title":"Momentum Değişimi Problemleri","list":{"type":"unordered","items":["Kütlesi 1 kg olan bir cisimde, 20 Newton kuvvet uygulandığında hız 2 m/s'den 17 m/s'ye yükselir.","Momentum değişimi 15 kg·m/s olduğunda, kuvvetin uygulanma süresi 0,75 saniye olarak hesaplanır.","Bu problem dinamik denklemlerle de çözülebilir, momentum ve dinamik yaklaşımları yakından ilişkilidir."]},"beginTime":1637,"endTime":1755,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1637&ask_summarization=1"},{"index":11,"title":"İtme Kuvveti Örneği","list":{"type":"unordered","items":["Bir kilogram kütleye sahip cisim, 5 m/s hızla yatay düzlemde 30 derece açıyla bir engeli çarpar ve aynı hızla yansımıştır.","İtme kuvveti, momentumun değişimine eşittir ve cismin momentumunun yönünün değişmesi itme kuvvetinin belirtilmesi için yeterlidir.","Cismin momentumunun büyüklüğü değişmemiş, sadece yönü değişmiştir; bu nedenle engelin cisme uyguladığı itme kuvveti 5 m/s büyüklüğündedir."]},"beginTime":1759,"endTime":1888,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1759&ask_summarization=1"},{"index":12,"title":"İtme Kuvveti Hesaplama","list":{"type":"unordered","items":["Bir kuleden yatay olarak fırlatılan 2 kilogram kütleli cisim, yere 3 saniyede düşmüştür.","İtme kuvveti, kuvvetin süreye çarpımına eşittir ve bu örnekte yerçekimi kuvvetinden (2 Newton) ve süreden (3 saniye) bahsedilmektedir.","İtme kuvveti hesaplanırken, birimlere bakarak formülleri hatırlamak önemlidir; Newton biriminde kuvvet, kilogram ve metre/saniye birimlerinde momentum kullanılır."]},"beginTime":1888,"endTime":1950,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1888&ask_summarization=1"},{"index":13,"title":"Çizgisel Momentum Korunumu","list":{"type":"unordered","items":["Çizgisel momentum korunumu, dış kuvvet etkisi olmayan bir sistemde iki veya daha fazla parçacık etkileşimi durumunda, sistemin toplam çizgisel momentumunun sabit kalmasını ifade eder.","Bir sistemin toplam çizgisel momentumu her zaman sistemin ilk çizgisel momentumuna eşittir ve bu duruma çizgisel momentum korunumu denir.","Çizgisel momentum korunumu, birbirini iten cisimler, çarpışan cisimler, kenetlenen cisimler ve iç patlama sonucu parçalanan cisimler için geçerlidir."]},"beginTime":1950,"endTime":2030,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1950&ask_summarization=1"},{"index":14,"title":"Çizgisel Momentum Korunumu Örnekleri","list":{"type":"unordered","items":["İki kişi buz pastında dururken, biri diğerini ittiğinde etki-tepki kuvvetleri oluşur ve bu kuvvetler eşit büyüklükte, zıt yönlüdür.","Başlangıçta toplam momentum sıfır olan sistemin, kendi içindeki etkileşimler sonucunda toplam momentum değişmez, sonda da sıfır kalır.","Günlük hayatta momentum korunumu örneği olarak hortum, silah, top güllesi ve roket gibi sistemlerde gözlemlenebilir; bir yönde momentum oluştuğunda, karşıt yönde eşit büyüklükte momentum oluşur."]},"beginTime":2030,"endTime":2333,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2030&ask_summarization=1"},{"index":15,"title":"Momentum Kavramı ve Örnek","list":{"type":"unordered","items":["Ayşe ve Burak, sürtünmesiz bir buz pistinde yan yana duruyor, Ayşe arkadaşı itti ve zıt yönlerde hareket ettiler.","Ayşe'nin kütlesi Burak'tan az olduğundan, ayrıldıktan sonra Ayşe'nin hızı Burak'ın hızından daha fazla oldu.","Toplam çizgisel momentum korundu, başlangıçta ve sonunda toplam momentum sıfırdır."]},"beginTime":2336,"endTime":2411,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2336&ask_summarization=1"},{"index":16,"title":"Momentum ve Etki-Tepki Yasası","list":{"type":"unordered","items":["Ayşe ve Burak birbirlerine uyguladıkları itme kuvvetlerinin büyüklükleri birbirine eşittir.","Etki-tepki yasası, eşit büyüklükte zıt kuvvetlerin farklı cisimler üzerine oluştuğunu belirtir.","Momentum konusunda dışarıdan bir kuvvet olmadığı, sadece kendi aralarında olan bir etki olduğu vurgulanmıştır."]},"beginTime":2411,"endTime":2458,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2411&ask_summarization=1"},{"index":17,"title":"Ders Planı ve Kapanış","list":{"type":"unordered","items":["Yarın grafik incelemeleri yapılacak, sonra çarpışmalar konusuna geçilecek.","Momentum konusunda birkaç gün daha durulacak, ilk iki sayfaya hakim olmanın önemi vurgulanmıştır.","Ders sonunda öğrencilere iyi bakmaları tavsiye edilerek vedalaşma yapılmıştır."]},"beginTime":2458,"endTime":2496,"href":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2458&ask_summarization=1"}],"linkTemplate":"/video/preview/3164187367446589173?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"22) İtme ve Momentum / Momentum ve İtme Kavramı. 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olduğu için kuvvet küçük oluyor, bu da yumurta kırılmamasını sağlıyor.","Yumurtaların yere çarpmadan önceki momentumları eşit olduğu için, durması için uygulanan itmeler de eşit büyüklükte olmalı, ancak beton zeminde etki eden kuvvet daha büyük olduğu için yumurta kırılıyor."]},"beginTime":32,"endTime":213,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=32&ask_summarization=1"},{"index":2,"title":"Top Çarpma Sorusu","list":{"type":"unordered","items":["Yatay zemine çarpan toplar momentumlarını kaybetmeden geldiği açı ile yansıyor.","Enerji kaybı olmadığı için toplar sanki aynada yansıyor gibi aynı açıyla ve büyüklükleriyle yansıyor.","İtme ile momentum değişimi aynı şey olduğu için, topların momentum değişimi vektörel olarak aynı yönlü oluyor ve büyüklükleri eşit olduğu için itmelerin büyüklükleri arasındaki oran 1'dir."]},"beginTime":213,"endTime":371,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=213&ask_summarization=1"},{"index":3,"title":"Hız, İvme, Kuvvet ve Momentum İlişkisi","list":{"type":"unordered","items":["Anlık hız ile hız değişimi her zaman aynı yönde olmak zorunda değil, bazen zıt yönde olabilir.","Hız ile momentum değişimi birbirine zıt yönde olabilir.","Kuvvet momentum değişimine her zaman aynı yönlü olur, dik olma şansı yoktur."]},"beginTime":371,"endTime":512,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=371&ask_summarization=1"},{"index":4,"title":"Esnek Çarpışmalarda Momentum ve Enerji","list":{"type":"unordered","items":["Eşit kütleli cisimler esnek çarptıklarında hızlarını birbirine aktarırlar.","Esnek çarpışmalarda momentum korunur, ancak kinetik enerji değişebilir.","Esnek çarpışmalarda sistemin enerjisi korunur, ancak cisimlerden birinin enerjisi artıp birinin enerjisi azalabilir."]},"beginTime":521,"endTime":621,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=521&ask_summarization=1"},{"index":5,"title":"Esnek Olmayan Çarpışma Örneği","list":{"type":"unordered","items":["Sürtünmesiz yatay düzende X ve Z cisimleri Y cismine çarptığında birbirine yapışarak ortak hareket ederler.","Esnek olmayan çarpışmalarda ilk momentum son momentuma eşittir.","Esnek olmayan çarpışmalarda momentum korunur, ancak enerji korunmaz."]},"beginTime":621,"endTime":737,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=621&ask_summarization=1"},{"index":6,"title":"İvmeli Hareket Problemi","list":{"type":"unordered","items":["Sürtünmesiz yatay düzende P noktasında durmakta olan, başlangıçta hızı olmayan bir cisim m kütleli ve F kuvveti uygulanıyor.","Kuvvet ve kütleyi biliyorsak ivmeyi bulabiliriz (F=ma).","İvmeli hareket yapan cisimler için ilk hızı sıfırsa yol formülü y=½at² kullanılır.","Cismin R noktasından geçerken hızı, momentumu ve kinetik enerjisi hesaplanabilir."]},"beginTime":737,"endTime":880,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=737&ask_summarization=1"},{"index":7,"title":"Patlama Sonrası Kütle Merkezi Problemi","list":{"type":"unordered","items":["O noktasında durgun olan bir cisim iç patlama sonucunda dört eşit parçaya ayrılıyor ve parçaların kütleleri aynı.","Patlamalarda patlama öncesindeki kütle merkezi hangi noktada ise patlama sonrasındaki kütle merkezi de aynı noktada olmak zorundadır.","Kütle merkezi, parçaların kütlesi ve mesafeleri kullanılarak bulunabilir; eşit kütleli parçaların kütle merkezi, mesafelerinin tam ortasında olur."]},"beginTime":882,"endTime":975,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=882&ask_summarization=1"},{"index":8,"title":"Kütle Merkezi Probleminin Çözümü","list":{"type":"unordered","items":["Başlangıçta kütle merkezi O noktası olduğu için, patlama sonrası da kütle merkezi O noktası olmalıdır.","A ve B noktalarında iki eşit kütleli parça olabilir çünkü kütle merkezi korunur.","K ve N noktalarında da iki eşit kütleli parça olabilir çünkü kütle merkezi korunur, ancak K ve P noktalarında olamaz çünkü kütle merkezi O noktasına denk gelmez."]},"beginTime":975,"endTime":1153,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=975&ask_summarization=1"},{"index":9,"title":"Merkezi Esnek Çarpışma Problemi","list":{"type":"unordered","items":["Sürtünmesi ray üzerinde vx ve 2v hızlarıyla hareket eden X ve Y cisimleri t anında O noktasında merkezi esnek çarpışma yapmaktadır.","Çarpışmadan iki t süre sonra X cisminin 2 birim, Y cisminin 4 birim yol gittiği görülmektedir.","Momentumların büyüklükleri eşit olduğunda herkes geldiği gibi geri döner, bu nedenle X cisminin kütlesi Y cisminin kütlesinin iki katıdır."]},"beginTime":1153,"endTime":1336,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1153&ask_summarization=1"},{"index":10,"title":"Esnek Çarpışma Kuralları","list":{"type":"unordered","items":["Sürtünmelerin önemsenmediği yatay düzlemde birbirine doğru sabit hızlarla hareket eden kütleleri 2m ve 3m olan X ve Y cisimleri merkezi tam esnek olarak çarpışıyor.","Esnek çarpışmanın iki kuralı vardır: birinci kural momentumların vektörel olarak eşit olması, ikinci kural ise bir cismin çarpışma öncesi ve sonrası hızlarının vektörel toplamının diğer cismin hızlarına eşit olmasıdır."]},"beginTime":1336,"endTime":1401,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1336&ask_summarization=1"},{"index":11,"title":"Momentum Denklemleri ve Çözüm Yöntemleri","list":{"type":"unordered","items":["Momentum denklemlerinde, çarpışma sonrası cisimlerin yönlerini bilmediğimiz için momentumları artı olarak alırız.","İlk momentum denklemi: 16m - 6 = 2mv₁ + 3mv₂ şeklinde yazılır.","İkinci momentum denklemi: 8v + v₁ + v₂ = -2v + v₂⁺ şeklinde yazılır."]},"beginTime":1413,"endTime":1578,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1413&ask_summarization=1"},{"index":12,"title":"Kısayol Çözüm Yöntemi","list":{"type":"unordered","items":["Esnek olmayan çarpışma gibi kısayol yöntemi kullanılabilir.","Ortak hız (v₀) bulunur: 16m + 6 = 5m × v₀ denkleminden v₀ = 2v/5 olarak hesaplanır.","v₁⁺ = 2v/5 - v₁ = -4v/5 ve v₂⁺ = 2v/5 + v₂ = 6v/5 olarak bulunur."]},"beginTime":1578,"endTime":1685,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1578&ask_summarization=1"},{"index":13,"title":"Sürtünmesiz Yatay Düzlemde Top Fırlatma Problemi","list":{"type":"unordered","items":["Sürtünmesiz yatay düzlemde duran özdeş ve hareketsiz araçlar üzerinde duran Zeynep ve Eda'nın kütleleri sırasıyla 3m ve 4m'dir.","Eda topu fırlattığında, Eda ve araçtan oluşan sistemin hızı v/5 olur.","Zeynep topu eline aldığı anda, Zeynep ve top-araç sisteminin hızı v/5 olur."]},"beginTime":1685,"endTime":1892,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1685&ask_summarization=1"},{"index":14,"title":"Momentum ve Kinetik Enerji Değişimleri","list":{"type":"unordered","items":["Zeynep ve Eda'nın hızlarının büyüklükleri eşittir (v/5), yönleri zıttır.","Momentum değişimleri eşittir, ancak büyüklük olarak farklıdır (4/5v ve 3/5v).","Kinetik enerji değişimleri eşittir, ancak kütleler farklı olduğu için büyüklük olarak farklıdır."]},"beginTime":1892,"endTime":1975,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1892&ask_summarization=1"},{"index":15,"title":"İç Patlama Problemi","list":{"type":"unordered","items":["İç patlamayla üç parçaya ayrılan bir cismin parçalarının hızları gösterilmiştir.","Patlama öncesindeki momentum, patlama sonrasındaki momentumla eşittir.","Patlama sonrası cisimler yukarı doğru hareket ettiği için, patlama öncesinde de cisim yukarı doğru hareket etmiştir."]},"beginTime":1975,"endTime":2113,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1975&ask_summarization=1"},{"index":16,"title":"Eğik Atış ve İç Patlama Problemi","list":{"type":"unordered","items":["Kütlesi 3m olan bir cisim v hızıyla eğik olarak atılıyor ve maksimum yüksekliğe ulaştığında iç patlama sonucu üç parçaya ayrılıyor.","Parçalardan biri serbest düşme hareketi yaparak oya düşerken, diğeri yatay atış hareketi yaparak kaya düşüyor.","Diğer parçanın düştüğü noktanın oya uzaklığı sorulmaktadır."]},"beginTime":2113,"endTime":2153,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2113&ask_summarization=1"},{"index":17,"title":"Patlama Sonrası Kütle Merkezi Hesaplama","list":{"type":"unordered","items":["Patlama olmasaydı üç kütleli cisim belirli bir noktaya düşecekti ve kütle merkezi de orada olacaktı.","Patlamalarda kütle merkezi korunur, bu nedenle patlama sonrası da kütle merkezinin aynı noktada olması gerekir.","Kütle merkezinin sol tarafında 10 mx, sağ tarafında m kütlesi olduğu için, sol tarafa olan uzaklığın 12 birim olması gerekir."]},"beginTime":2157,"endTime":2233,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2157&ask_summarization=1"},{"index":18,"title":"Momentum Korunumu ile Çözüm","list":{"type":"unordered","items":["Patlama öncesi cismin momentumu sağa doğru 12 birimdir ve patlama sonrası da aynı şekilde olmalıdır.","Bir parça kaya olarak sola doğru 2 birim hızla giderken, diğer parça serbest düşme yaparak hızı yoktur.","Üçüncü parça sağa doğru 14 birim hızla gider ve O noktasından 14x uzağa ulaşır."]},"beginTime":2233,"endTime":2326,"href":"/video/preview/6432254618823486320?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2233&ask_summarization=1"},{"index":19,"title":"Bilardo Çarpışması Problemi","list":{"type":"unordered","items":["Eşit kütleli bilardo toplarının esnek çarpışmasında, cisimler birbirine dik doğrultularda çarparsa saçılma açıları arasındaki açı 90 derece olur.","Kırmızı top iki numaralı deliğe girebilmek için x ekseninde 3, y ekseninde 1 birimlik bir hareket yapmalıdır.","Mavi top, kırmızı topun hareket doğrultusuna göre 4 numaralı deliğe 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Volatilitenin farklı ölçme yöntemleri olmasına rağmen momentum cinsinden yorumayabiliriz. 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📒📙50 Günde TYT Fizik Set 👉Trendyol : https://bit.ly/447dbf4 📹90 Günde AYT Fizik Kitap İncelemesi : • 90 Günde AYT Fizik Kampı | 0.Gün | 2024 Ta...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4825664/f18d001db5eb2d67459d063085bedd4c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/jEZPQwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=videoid:10234407424114306838","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan AYT fizik kampının 20. gününde itme ve momentum konusunu anlatan eğitim içeriğidir.","Video, itme ve momentum kavramlarının temel tanımlarından başlayarak, formüllerini ve uygulamalarını detaylı şekilde ele almaktadır. Eğitmen önce teorik bilgileri açıklamakta, ardından ÖSYM tadında sorular, bardakların farklı zeminlere düşmesi, golf topu ve otomobil çarpışma testi gibi örneklerle konuyu pekiştirmektedir. Ayrıca kuvvet-zaman, momentum-zaman ve momentum-hız grafikleri üzerinden itme ve momentum kavramlarını grafiksel olarak da anlatmaktadır.","Videoda yatay atış hareketi, düşey atış hareketi ve cisimlerin duvara çarpması gibi farklı senaryolarda momentum değişimi ve itme hesaplamaları örneklerle açıklanmakta, her soru için farklı çözüm yöntemleri sunulmaktadır. Video, öğrencilere konu anlatımı üç videosunun izlenmesi ve ödev olarak verilen test sorularının çözülmesi tavsiyesiyle sonlanmaktadır."]},"endTime":2769,"title":"AYT Fizik Kampı: İtme ve Momentum Konusu","beginTime":0}],"fullResult":[{"index":0,"title":"İtme ve Momentum Konusuna Giriş","list":{"type":"unordered","items":["AYT fizik kampının 20. gününde itme ve momentum konusuna başlanıyor.","İtme ve momentum, ÖSYM'nin en sevdiği konulardan biri olup AYT sınavında mutlaka soru geliyor.","Konu üç konu anlatımı ve iki soru çözümü olmak üzere beş video ile anlatılacak."]},"beginTime":5,"endTime":73,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=5&ask_summarization=1"},{"index":1,"title":"İtme Kavramı","list":{"type":"unordered","items":["Bir cismin hızını değiştirmek için cisme belirli bir süre kuvvet uygulanması gerekiyor.","İtme (impuls), kuvvet ile etki süresinin çarpımına denir ve formülü F×t'dir.","İtme vektörel bir büyüklüktür, birimi saniyedir ve kuvvet ile etki süresi doğru orantılıdır."]},"beginTime":73,"endTime":162,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=73&ask_summarization=1"},{"index":2,"title":"Momentum Kavramı","list":{"type":"unordered","items":["Momentum, bir cismin kütlesiyle hızının çarpımına denir ve formülü p=m×v'dir.","Momentum vektörel bir büyüklüktür, birimi kilogram metre bölü saniyedir.","Momentum, kütle ve hızın çarpımı olduğundan, kütlesi büyük olan cisimler daha büyük momentumlara sahiptir."]},"beginTime":162,"endTime":295,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=162&ask_summarization=1"},{"index":3,"title":"Momentum Değişimi","list":{"type":"unordered","items":["Momentum vektörel bir nicelik olduğu için momentum değişimi de vektöreldir.","Momentum değişimi, son momentumdan ilk momentumu vektörel olarak çıkartarak bulunur.","Momentum değişimi formülü m×(Δv) veya m×(son hız - ilk hız) şeklindedir."]},"beginTime":295,"endTime":431,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=295&ask_summarization=1"},{"index":4,"title":"İtme ve Momentum Değişimi İlişkisi","list":{"type":"unordered","items":["İtme, momentum değişimine eşittir çünkü F×Δt = m×Δv formülü itme ve momentum değişimi arasında ilişki kurar.","İtmenin yönü ile momentum değişiminin yönü her zaman aynıdır.","İtme ve momentum değişimi hem büyüklükleri hem de yönleri birbirine eşittir."]},"beginTime":431,"endTime":508,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=431&ask_summarization=1"},{"index":5,"title":"Bardak ve Zemindeki Çarpışma Problemi","list":{"type":"unordered","items":["ÖSYM tadında bir soru, iki sene önce AYT sınavında gelen sorunun birebir aynısıdır.","Soruda aynı yükseklikten sünger ve beton zemine bırakılan bardaklardan süngere düşen kırılmaz, ancak betona düşen kırılır.","Bardakların kütlesi ve ilk momentumu aynıdır, ancak çarpışma sonrası süngerde etki etme süresi uzun, betonda ise kısa olur."]},"beginTime":512,"endTime":619,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=512&ask_summarization=1"},{"index":6,"title":"Momentum Değişimi ve İtme Kuvveti","list":{"type":"unordered","items":["Momentum değişimi, son momentumdan ilk momentumu çıkartarak bulunur ve her iki durumda da yukarı doğru ve aynı büyüklüktedir.","Momentum değişimi itmeye eşittir, bu nedenle iki sistemin itmeleri de birbirine eşittir.","Süngerde etki etme süresi uzun olduğu için kuvvet küçük olur ve bardak kırılmaz, betonda ise etki etme süresi kısa olduğu için kuvvet büyük olur ve bardak kırılır."]},"beginTime":619,"endTime":865,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=619&ask_summarization=1"},{"index":7,"title":"Golf Topu Problemi","list":{"type":"unordered","items":["Kütlesi 200 gram olan topa ortalama 500 Newton büyüklüğünde kuvvetle vurulduğunda, etki süresi 0,1 saniye olduğunda oluşan itme 5 Newton saniye olur.","İtme, momentum değişimine eşittir ve momentum değişimi son momentumdan ilk momentumu çıkartarak bulunur.","Golf topunun başlangıç hızı sıfır olduğundan, son hızı 25 metre/saniye olarak hesaplanır."]},"beginTime":865,"endTime":980,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=865&ask_summarization=1"},{"index":8,"title":"Çarpışma Testi Problemi","list":{"type":"unordered","items":["108 km/saat sabit süratle giden otomobil duvara çarptığında 0,5 saniyede durabilmektedir.","Kütlesi 40 kilogram olan manken, direksiyonun kollarına uyguladığı tepki kuvveti, vücudunu etkileyen sürtünme kuvveti ve kemerin uyguladığı kuvvet yardımıyla durabilmektedir.","Mankenin otomobile göre hareketsiz kalabilmesi için ortalama itme kuvveti en az 1200 Newton olmalıdır."]},"beginTime":980,"endTime":1129,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=980&ask_summarization=1"},{"index":9,"title":"İtme ve Momentum Değişimi Problemi","list":{"type":"unordered","items":["İtme formülü F×Δt = Δp (momentum değişimi) kullanılarak, mankenin son hızının sıfır olduğu ve ilk hızının -30 m/s olduğu hesaplanıyor.","Mankenin kütlesi 40 kg olduğundan, itme değeri 1200 Newton saniye olarak bulunuyor ve bu değer sağa doğru bir itme anlamına geliyor.","Otomobilin 0,5 saniyede durduğu bilgisiyle ortalama kuvvet 2400 Newton olarak hesaplanıyor."]},"beginTime":1133,"endTime":1292,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1133&ask_summarization=1"},{"index":10,"title":"Yatay ve Düşey Momentum Değişimi","list":{"type":"unordered","items":["Kütlesi 2 kg olan bir cisim 45 metre yükseklikten yatay 20 m/s hızla fırlatılıyor ve yere düşene kadar yatay momentum değişimi sıfırdır çünkü yataydaki hız değişmiyor.","Düşeyde cisim 3 saniyede yere çakılıyor ve düşey hızı 30 m/s oluyor, bu nedenle düşey momentum değişimi 60 m olarak bulunuyor.","Sürtünmelerin olmadığı ortamda cisme etki eden tek kuvvet ağırlık olduğundan, itme değeri 60 Newton saniye olarak hesaplanıyor."]},"beginTime":1292,"endTime":1458,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1292&ask_summarization=1"},{"index":11,"title":"Duvarla Çarpışma Problemi","list":{"type":"unordered","items":["1 kg kütleli bir cisim duvara 20 m/s hızla çarpıyor ve kinetik enerjisinin %75'ini kaybederek geri yansıyor.","Cismin kinetik enerjisi 200 jul olduğundan, %75'ini kaybetmesi 50 jul kinetik enerji kalması anlamına geliyor ve bu durumda son hızı 10 m/s olarak bulunuyor.","Momentum değişimi 30 jul olarak hesaplanıyor ve duvarın cisme uyguladığı ortalama kuvvet 300 Newton olarak bulunuyor."]},"beginTime":1458,"endTime":1652,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1458&ask_summarization=1"},{"index":12,"title":"İtme ve Momentum Değişimi","list":{"type":"unordered","items":["İtme, momentum değişimi ile eşittir ve F×t formülüyle hesaplanamaz.","Momentum değişimi, son momentumdan ilk momentumu vektörel olarak çıkarmak demektir.","İki vektör eşitse ve aralarındaki açı 120 derece ise, sonuç vektör tam ortadan bir tanesidir."]},"beginTime":1654,"endTime":1758,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1654&ask_summarization=1"},{"index":13,"title":"İtme Hesaplama Örnekleri","list":{"type":"unordered","items":["İlk örnekte, K cismine etki eden itme 1mv kadardır.","İkinci örnekte, iki cisme etki eden itme 1,2mv kadardır.","Üçüncü örnekte, üçüncü cisme etki eden itme 1,60 mv kadardır."]},"beginTime":1758,"endTime":1908,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1758&ask_summarization=1"},{"index":14,"title":"Grafiklerin Yorumlanması","list":{"type":"unordered","items":["Kuvvet-zaman grafiğinin alanı itmeyi verir, üst taraf pozitif itme, alt taraf negatif itme verir.","Momentum-zaman grafiğinin eğimi cisme etki eden net kuvveti verir.","Momentum-hız grafiğinin eğimi kütleyi verir ve alanı kinetik enerjiyi verir."]},"beginTime":1908,"endTime":2157,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=1908&ask_summarization=1"},{"index":15,"title":"Kinetik Enerji Formülü","list":{"type":"unordered","items":["Kinetik enerji formülü E = 1/2 mv²'dir.","Kinetik enerji formülü E = 1/2 p²/m şeklinde de yazılabilir.","Bu formül, kinetik enerji formülünden momentum kullanılarak elde edilir."]},"beginTime":2157,"endTime":2219,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2157&ask_summarization=1"},{"index":16,"title":"İtme ve Momentum Kavramları","list":{"type":"unordered","items":["İki cisim (x ve y) için net kuvvet-zaman grafiğinin alanı, cisme yapılan itmeyi verir ve bu itme momentum değişimine eşittir.","İki cisme de aynı büyüklükte ve aynı yönde itme yapılmış olduğundan, momentumları da eşittir.","Cisimlerin t anındaki hız büyüklükleri kesin olarak eşit olmayabilir, ancak momentum büyüklükleri aynıdır."]},"beginTime":2231,"endTime":2486,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2231&ask_summarization=1"},{"index":17,"title":"Kuvvet-Zaman Grafiği Sorusu","list":{"type":"unordered","items":["Yatay düzlemde durmakta olan cisme etki eden net kuvvetin zamana bağlı grafiğinde, cismin t anındaki hızı ve momentumları hesaplanabilir.","Cismin momentumu, uygulanan itme miktarına eşittir ve başlangıçta momentumu sıfır olan cisim, uygulanan itme miktarına göre momentum kazanır.","Kuvvet-zaman grafiğinde kuvvetin azalması, cismin yavaşlaması anlamına gelmez; kuvvet azalsa bile cisim hala itildiği için hızlanmaya devam eder."]},"beginTime":2486,"endTime":2704,"href":"/video/preview/10234407424114306838?parent-reqid=1765291020154014-1296155238806287181-znjl6qkmk2bip2zr-BAL&text=momentum+%5Beducate+++innovate%5D&t=2486&ask_summarization=1"},{"index":18,"title":"Ödev Bilgileri","list":{"type":"unordered","items":["İtme ve momentum konusundaki test ödevi sayfa 100 ile 101 arasında bulunmaktadır.","Başlangıçta çözemediğiniz sorular için ikinci ve üçüncü video izlemeniz önerilmektedir.","Konu ilerledikçe mantıklar oturacağı için başlangıçta çözemediğiniz sorular ilerleyen zamanlarda daha kolay 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