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zaman grafiğinin alanına bakarak çizgisel momentum - zaman grafiği çizilmiş, çizgisel momentum - zaman...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/776653/38553c86b97ebfff24ee0408f0b55ff3/564x318_1"},"target":"_self","position":"3","reqid":"1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=videoid:18060994932976467125","teaser":[{"list":{"type":"unordered","items":["Bu video, bir fizik öğretmeninin öğrencilere yönelik hazırladığı eğitim içeriğidir. Öğretmen, EMA adlı bir öğrenciyle diyaloglar halinde konuyu anlatmaktadır.","Video, itme ve çizgisel momentum kavramlarını temel alarak, kuvvet-zaman ve çizgisel momentum-zaman grafiklerinin nasıl çizileceğini ve bunların arasındaki ilişkiyi açıklamaktadır. Öğretmen, itmenin momentum değişimine eşit olduğunu, kuvvet-zaman grafiğinin altındaki alanın itmeyi, çizgisel momentum zaman grafiğinin eğiminin ise net kuvveti verdiğini detaylı şekilde anlatmaktadır.","Videoda ayrıca, itmenin vektörel bir büyüklük olduğu, itme ile momentum değişiminin aynı olduğu ancak son momentumların eşit olmayabileceği örneklerle açıklanmaktadır. İki farklı yöntemle (hız-zaman grafiği ve çizgisel momentum-zaman grafiği) aynı problem çözülerek, çizgisel momentum zaman grafiğinin eğiminin net kuvveti verdiğini göstermektedir. Video, çizgisel momentumun korunumu konusunun bir sonraki derste anlatılacağı bilgisiyle sonlanmaktadır."]},"endTime":1425,"title":"Fizik Dersi: İtme, Momentum ve Kuvvet-Zaman Grafiği","beginTime":0}],"fullResult":[{"index":0,"title":"İtme ve Momentum İlişkisi","list":{"type":"unordered","items":["Son derste itme ve çizgisel momentum kavramları öğrenilmiş, itmenin momentum değişimine eşit olduğu belirtilmiştir.","Bu derste itme ve momentum arasındaki ilişkiyi gösteren grafikler çizilecek ve momentumun korunumu incelenecektir."]},"beginTime":4,"endTime":25,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=4&ask_summarization=1"},{"index":1,"title":"Kuvvet ve Hareket Durumu","list":{"type":"unordered","items":["m kütleli bir cisim sağ tarafa doğru F kuvveti ile t süre boyunca çekildikten sonra, kuvvet ters yöne (eksi yöne) dönerek yine t süre boyunca etki edecektir.","Cisim başlangıçta duruyor ve sağ tarafa doğru F kuvvetine maruz kalınca hızlanmaya başlayıp belirli bir hıza ulaşacaktır.","T süre sonra kuvvet ters yöne döndüğünde cisim yavaşlamaya başlayıp en nihayetinde duracaktır."]},"beginTime":25,"endTime":86,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=25&ask_summarization=1"},{"index":2,"title":"Kuvvet-Zaman Grafiği","list":{"type":"unordered","items":["Sağ taraf artı yön, sol taraf eksi yön olarak belirlenmiştir.","Kuvvet-zaman grafiğinde başlangıçta sağ tarafa doğru sabit bir F kuvveti t süre boyunca etki etmiştir.","T anından sonra kuvvet ters yöne dönmüş ancak yine F kadar olup t süre boyunca etki etmiştir."]},"beginTime":86,"endTime":110,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=86&ask_summarization=1"},{"index":3,"title":"Çizgisel Momentum-Zaman Grafiği","list":{"type":"unordered","items":["Başlangıçta duran bir cismin çizgisel momentumu sıfırdır, hız arttıkça çizgisel momentum da düzgün artar.","Üzerindeki net kuvvet sabit olduğunda, cisim düzgün hızlanır ve çizgisel momentum da düzgün artar.","Kuvvet ters yönde döndüğünde cisim yavaşlar, hız düzgün azalır ve çizgisel momentum da düzgün azalır."]},"beginTime":112,"endTime":172,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=112&ask_summarization=1"},{"index":4,"title":"Kuvvet-Zaman ve Çizgisel Momentum-Zaman Grafiği İlişkisi","list":{"type":"unordered","items":["Kuvvet-zaman grafiğinin alanı itmeyi verirken, çizgisel momentum-zaman grafiğinin eğimi cisme etki eden net kuvveti verir.","Kuvvet-zaman grafiğinin altındaki alan, kısa kenar (F) ile uzun kenar (Δt) çarpımı olan itmeyi verir.","Negatif itme, cismin momentumunu azaltır ve itme bir vektör olduğundan yönü de önemlidir."]},"beginTime":172,"endTime":286,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=172&ask_summarization=1"},{"index":5,"title":"Momentum Değişimi ve İtme","list":{"type":"unordered","items":["Hareketin bütününe bakıldığında, başlangıçtaki momentumla son durumdaki momentum eşittir çünkü toplam itme sıfırdır.","Eksi itme her zaman yavaşlatıcı anlamına gelmez, yön anlamına gelir; negatif itme cismin ters yönde hızlanmasına neden olabilir.","İtme negatif olduğunda, cismin momentum değişimi azalma şeklinde olur."]},"beginTime":286,"endTime":386,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=286&ask_summarization=1"},{"index":6,"title":"Çizgisel Momentum-Zaman Grafiğinin Eğimi","list":{"type":"unordered","items":["Çizgisel momentum-zaman grafiğinin eğimi, momentumdaki değişim (Δp) bölü zamandaki değişim (Δt) olan net kuvveti verir.","Grafiğin eğimi sabitse, üzerindeki kuvvet de sabittir.","Grafiğin eğimi ters yönde döndüğünde, kuvvet de ters yönde ve sabit olur."]},"beginTime":386,"endTime":488,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=386&ask_summarization=1"},{"index":7,"title":"Örnek Problemin Çözümü","list":{"type":"unordered","items":["Sürtünmeden ihmal edildiği yatay düzlemde durmakta olan bir cisme etki eden kuvvetin zamana bağlı değişim grafiği verilmiştir.","Kuvvet-zaman grafiğinin alanı hesaplanarak itme büyüklüğü bulunur.","Toplam itme sıfır olduğunda, cismin çizgisel momentumu değişmez."]},"beginTime":488,"endTime":570,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=488&ask_summarization=1"},{"index":8,"title":"Kuvvet-Zaman Grafiği ve Hareket Analizi","list":{"type":"unordered","items":["Başlangıçta duran bir cisme pozitif yönde artan bir kuvvet etki ediyor, bu nedenle cisim hızlanıyor.","İki saniye sonra kuvvet azalmaya başlıyor, ancak cisim hala artı yönde kuvvete maruz kaldığı için hızlanmaya devam ediyor.","Dört saniye sonunda kuvvet ters yöne dönüyor ve sabit bir değer alıyor, bu nedenle cisim yavaşlayıp duruyor."]},"beginTime":571,"endTime":642,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=571&ask_summarization=1"},{"index":9,"title":"Momentum Kavramı ve Grafiği","list":{"type":"unordered","items":["Başlangıçta duran cismin çizgisel momentumu sıfırdır ve son durumda da sıfır olmak zorundadır çünkü çizgisel momentum değişmemek zorundadır.","Grafiğe göre toplam itme sıfır olduğundan, başlangıçtaki momentum ile sondaki momentum aynı olmalıdır.","Cismin en sonunda durduğu sonucuna varılır."]},"beginTime":642,"endTime":675,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=642&ask_summarization=1"},{"index":10,"title":"İkinci Kuvvet-Zaman Grafiği Analizi","list":{"type":"unordered","items":["Sürtünmelerin ihmal edildiği yatay düzlemde durmakta olan iki kilogram kütleli cisme uygulanan kuvvetin zamana bağlı grafiği inceleniyor.","Kuvvet-zaman grafiğinin alanları hesaplanarak itme değerleri bulunuyor: +20 N·s, +10 N·s ve -10 N·s.","Toplam itme pozitif olduğundan, cisim başlangıçta duruyor ve sağ tarafa doğru hızlanıyor."]},"beginTime":675,"endTime":761,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=675&ask_summarization=1"},{"index":11,"title":"Momentum ve Hız Grafiği Çizimi","list":{"type":"unordered","items":["Çizgisel momentum-zaman grafiği, kuvvet-zaman grafiğinin eğimine eşittir ve bu eğim kuvvet değerini verir.","Hız-zaman grafiği, çizgisel momentum-zaman grafiğinin aynısıdır çünkü çizgisel momentum kütle çarpı hızdır ve kütle sabittir.","Hız-zaman grafiğinde sayısal değerler değişir çünkü hız, çizgisel momentumun kütleye bölünmesiyle bulunur."]},"beginTime":761,"endTime":920,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=761&ask_summarization=1"},{"index":12,"title":"Kuvvet-Zaman Grafiği ve İtme","list":{"type":"unordered","items":["Sürtünmelerin önemsenmediği yatay düzlemde bulunan K ve L cisimlerine etki eden kuvvetlerin zamana bağlı değişim grafiği inceleniyor.","Kuvvet-zaman grafiğinin altında kalan alanlar itmeyi verir; mavi alan F×t, kırmızı alan ise 2F×t/2 = F×t olarak hesaplanıyor.","İtmeler vektörel büyüklük olduğu için yönleri de önemlidir; her iki cisim de pozitif itme alıyor."]},"beginTime":922,"endTime":985,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=922&ask_summarization=1"},{"index":13,"title":"Momentum Değişimi ve Son Momentum","list":{"type":"unordered","items":["Cisimlerin son momentumları eşit olmak zorunda değildir çünkü başlangıç momentumları bilinmemektedir.","İtme, ivme gibi sadece değişim miktarını gösterir, cismin nereye gittiğini veya hızlanıp yavaşladığını göstermez.","İtme formülü F=ma'dan türetilebilir, bu nedenle itme hakkında ivme hakkında düşündüğümüz gibi düşünebiliriz."]},"beginTime":985,"endTime":1166,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=985&ask_summarization=1"},{"index":14,"title":"Çizgisel Momentum-Zaman Grafiği","list":{"type":"unordered","items":["Sürtünmesiz yatay düzlemde bulunan bir cismin çizgisel momentum-zaman grafiği inceleniyor.","Çizgisel momentum m×v formülüyle hesaplanır ve kütle sabit olduğunda momentum değişimi hız değişimiyle doğrudur.","Momentum parabolik azalıyorsa, hız da parabolik azalır; momentum sabitse hız sabittir."]},"beginTime":1166,"endTime":1211,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=1166&ask_summarization=1"},{"index":15,"title":"Hız-Zaman Grafiği Analizi","list":{"type":"unordered","items":["Hız-zaman grafiğinde eğim, ivmeyi verir ve sabit eğim sabit ivmeyi ifade eder.","T2-T3 zaman aralığında hız azaldığı için yavaşlama söz konusudur.","T2-T3 zaman aralığında hız sıfır değil, sabit hızla gidildiği için hız değeri vardır."]},"beginTime":1214,"endTime":1249,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=1214&ask_summarization=1"},{"index":16,"title":"Net Kuvvet Analizi","list":{"type":"unordered","items":["2T-3T zaman aralığında hız azalan bir cismin ivmesi azalmaktadır.","Eğim hesaplandığında, teğetlerin gitgide düzleşmesi ivmenin azaldığını gösterir.","F=ma formülüne göre ivme azalıyorsa net kuvvet de azalmaktadır."]},"beginTime":1249,"endTime":1289,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=1249&ask_summarization=1"},{"index":17,"title":"Çizgisel Momentum-Zaman Grafiği Analizi","list":{"type":"unordered","items":["Çizgisel momentum-zaman grafiğinin eğimi net kuvveti verir (Δp/Δt).","T-T2 zaman aralığında eğim sabit olduğundan net kuvvet sabittir ve cisim sabit ivmeyle yavaşlamaktadır.","T2-T3 zaman aralığında dümdüz bir çizgi olduğundan net kuvvet sıfırdır ve cisim sabit hızla gider."]},"beginTime":1289,"endTime":1397,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=1289&ask_summarization=1"},{"index":18,"title":"Sonuç","list":{"type":"unordered","items":["Sorunun cevabı birinci ve üçüncü öncüllerdir.","Videonun devamında çizgisel momentumun korunumu anlatılacaktır."]},"beginTime":1397,"endTime":1411,"href":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=1397&ask_summarization=1"}],"linkTemplate":"/video/preview/18060994932976467125?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Kuvvet - Zaman ve Çizgisel Momentum - Zaman Grafikleri | 88 Günde AYT Fizik Kampı | 22. 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Öğretmen, öğrencilere çeşitli fizik problemlerini çözerek konuyu açıklamaktadır.","Video, dönerek öteleme hareketi ve açısal momentum konularını kapsayan toplam sekiz farklı problemi adım adım çözmektedir. Problemler arasında serbest bırakılan cismin hareketi, çubuk üzerindeki cisimlerin açısal momentumları, tekerleklerin açısal momentumları, sürtünme kuvvetleri sayesinde dönen tekerlekler ve diskin açısal ivmesini artıran faktörler gibi konular yer almaktadır.","Videoda tork, merkezcil kuvvet, açısal momentum, eylemsizlik momenti ve açısal ivme gibi kavramlar detaylı olarak ele alınmakta, dönen cisimlerin yavaşlaması durumunda ters tork etkisinin nasıl oluştuğu ve merkezi esnek çarpışma durumunda korunan nicelikler (kinetik enerji, açısal momentum ve çizgisel momentum) konuları da açıklanmaktadır. 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potansiyel enerjisi azalırken kinetik enerjisi artar ve çizgisel hızı artar.","Açısal hız (omega) ile çizgisel hız (v) arasında v = omega × r ilişkisi vardır ve ipin boyu sabit olduğundan açısal hız artar.","Açısal ivme birim zamanda açısal hız değişimidir ve tork = I × alfa (τ = I × Δω/Δt) formülü kullanılarak hesaplanır."]},"beginTime":31,"endTime":89,"href":"/video/preview/13496198145667692807?parent-reqid=1765326703128519-946608334477886219-balancer-l7leveler-kubr-yp-sas-10-BAL&text=emreozcanazmak&t=31&ask_summarization=1"},{"index":2,"title":"Tork ve Açısal İvme İlişkisi","list":{"type":"unordered","items":["Cismin O noktasına göre eylemsizlik momenti (I) değişmez çünkü kütlesi ve dönme yarıçapı sabittir.","Cismin üzerine etki eden kuvvetler arasında aşağıya doğru ağırlık kuvveti ve ip gerilmesi vardır.","İp gerilmesi herhangi bir tork oluşturmaz, ağırlık kuvvetinin dik uzaklığı ise cisim aşağıya doğru düştükçe 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