Application of the Pythagorean Theorem as a Quick Solution in Solving Relativistic Momentum Problems

Authors

  • Firdaus Nur Rahmat Jember University
  • Umi Uswatun Khasanah Jember University
  • Halimatus Sa'diyah Jember University
  • Novi Fitri Rahmadani Jember University
  • Bambang Supriadi Jember University

DOI:

https://doi.org/10.58258/jupe.v9i2.7090

Keywords:

Pythagorean Theorem, Relativistic Momentum, Special Relativity

Abstract

The Pythagorean theorem is a fundamental concept in mathematics that is often used to solve various geometric problems. In physics studies, especially in relativistic momentum analysis, the application of this theorem can be a fast and effective solution. This article explores the application of the Pythagorean theorem in the context of relativistic momentum, where the speed and energy of objects approach the speed of light. By exploiting the quadratic relationship between the components of the relativistic momentum and energy vectors, the Pythagorean theorem allows for simpler and more efficient calculations. This research identifies the relationship between the Pythagorean theorem equation and the relativistic momentum equation through several steps. The first step involves calculating the Pythagorean theorem equation. The second step is to calculate Einstein's special relativity equations. The final step is to analyze the relationship between the two equations. In this case, the relativistic and Pythagorean momentum equations have similarities and one of the formulas can be used. 

References

Kurnia, A. (2021). Konsep Pemahaman Teori Relativitas Khusus Einstein Tentang Pemuaian Waktu. Konsep Pemahaman Teori Relativitas, 15(2), 173–179.

Sanusi, E. N., & Haryadi, R. (2022). Studi Literatur Metode Pythagoras Dalam Penyelesaian Soal-Soal Teori Relativitas Khusus Einstein. EduFisika: Jurnal Pendidikan Fisika, 7(2), 242–244. https://doi.org/10.59052/edufisika.v7i2.22309

Supriadi, B., Istighfarini, E. T., Amelia, F., Mardhiana, H., & Sari, P. (2022). the Right Triangle Theorem in Comparison of Relavistic Energy. Jurnal Riset Fisika Edukasi Dan Sains, 9(1), 34–41. https://doi.org/10.22202/jrfes.2022.v9i1.5751

Khasanah, R. U., Supriadi, B., & Prastowo, S. H. B. (2019). Aplikasi Metode Pythagoras Dalam Penyelesaian Soal- Soal Relativitas Khusus Einstein Terhadap Hasil. Jurnal Pembelajaran Fisika, 8(1), 24–31.

Supriadi, B., Bektiarso, S., Damasari, A. F., Ramadhani, P. I., Febrianti, T. R., & Lubna, L. (2022). Respon Siswa Terhadap Metode Pythagoras Sebagai Alternatif Penyelesaian Soal Energi Relativistik. ORBITA: Jurnal Pendidikan Dan Ilmu Fisika, 8(1), 128. https://doi.org/10.31764/orbita.v8i1.8582

Korkmaz, S. D., Aybek, E. C., & Örücü, M. (2016). Special relativity theorem and Pythagoras’s magic. Physics Education, 51(2). https://doi.org/10.1088/0031-9120/51/2/025010

Alivia, H., Wahyudianti, R., Hidayati, H., Imaniyah, K., & Prastowo, S. H. B. (2023). Analisis Penguasaan Konsep Fisika Materi dan Perubahannya Melalui Penyelesaian Soal Isomorfik pada Siswa Kelas VII MTS Zainul Bahar. DIAJAR: Jurnal Pendidikan Dan Pembelajaran, 2(3), 354–358. https://doi.org/10.54259/diajar.v2i3.1695

Supriadi, B., Harijanto, A., Widyawati, T., Alisia, N., Arifin, M. M., & Fikri, A. M. K. (2019). Pythagoras method to complete einstein special relativity issues. Journal of Physics: Conference Series, 1211(1). https://doi.org/10.1088/1742-6596/1211/1/012050

Supriadi, B., Royani, S. N. M., Nanda, A. A. T., Elisa, E., Jannah, E. M., & dan Maryani. (2023). Pythagorean Theorem for Solving Simple RLC Circuit Problems. Atlantis Press International BV. https://doi.org/10.2991/978-94-6463-138-8_12

Rahmat Penius Halawa. (2024). Analisis Pemahaman Konsep Matematika Siswa Pada Materi Teorema Phytagoras Ditinjau Dari Motivasi Belajar Kelas Viii Smp Negeri 1 Lolofitu Moi. Afore : Jurnal Pendidikan Matematika, 3(1), 26–40. https://doi.org/10.57094/afore.v3i1.1706

Hermanto, A., Hanang, R., Budhi, S., Fisika, D., Matematika, F., & Mada, U. G. (2024). Jurnal Fisika A Critical Examination on the Lorentz Contraction of a Rod. 14(1), 9–14.

Okun, L. B. (2009). The theory of relativity and the Pythagorean theorem. Energy and Mass in Relativity Theory, 622, 285–304. https://doi.org/10.1142/9789812814128_0030

Dima, A. S. G., & Lalus, H. F. (2024). Review Nilai Rata-Rata Operator Gaya Potensial Step Pada Partikel Satu Dimensi Dalam Tinjauan Persamaan Schrödinger, Klein-Fock-Gordon, dan Dirac. Journal Online of Physics, 9(2), 112–121. https://doi.org/10.22437/jop.v9i2.32168

Djudin, T. (2021). Pengantar Fisika Modern. Sleman: Penerbit Deepublish.

Surya, Y. (2009). FISIKA MODERN-Persiapan Olimpiade Fisika. Tangerang: KANDEL.

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Published

2024-06-26