Claim Missing Document
Check
Articles

Found 1 Documents
Search
Journal : jejak digital jurnal ilmiah multidisiplin

Implementasi Integral Garis pada Medan Vektor dalam Perhitungan Usaha Gaya Pernanda Tanjung, Alpha Reynaldi; Nainggolan , Desta Asina; Simanjuntak, Dewi Efarina; Lumban Gaol , Ian Pedrosa Manatap; Rawiyah, Rawiyah; Nasution , Alvi Sahrin; Nasution, Hamidah
Jejak digital: Jurnal Ilmiah Multidisiplin Vol. 2 No. 3 (2026): MEI 2026
Publisher : INDO PUBLISHING

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63822/rym5yy09

Abstract

Line integrals are one of the fundamental concepts in advanced calculus used to determine the accumulation of a quantity along a specific path within a vector field. This concept has various applications in science, particularly in physics and engineering, especially in calculating the work done by a force acting on an object moving along a certain trajectory. This study aims to examine the application of line integrals in vector fields for calculating the work of a force and to analyze the relationship between a particle’s path and the resulting work. The research method employed is a qualitative approach with mathematical analytical study through theoretical review and calculation of line integrals in two-dimensional vector fields. The analysis process involves defining the vector field function representing the force, parameterizing the particle’s path, and evaluating the line integral to obtain the resulting work. The results show that the work done by a force can be determined through the evaluation of a line integral along the path taken by the particle. Furthermore, the analysis of the vector field indicates that the field is conservative, meaning that the work depends only on the initial and final points of the displacement, not on the shape of the path taken. The visualization of the vector field, particle trajectory graphs, and calculation tables helps provide a clearer understanding of the application of line integrals in analyzing work. Therefore, the concept of line integrals in vector fields can be used as an effective mathematical approach to explain the relationship between force and displacement in a physical system.  
Co-Authors Ahmad Rifai Siregar Ahyaningsih, Faiz Ahyaningsih, Faiz Aida Fitri Harun Pakpahan Alamsyah, Febi Ananda, Rizky Anidah, Anidah Asmin Asmin, Asmin Asrin Lubis Ayuniara, Rini BR Sihaholo, Ruth Salisa Cyntia S., Maria DIdi Febrian Dinda Kartika Dwi Lestari, Riani Elma Batasia Siregar Faigle, Ulrich Farwansyah, Mhd Rio Freddy Giawa Habibi, Rizki Hadi, Rizkiyan Hannum, Syaripah Hashem Beg, Abul Hasibuan, Iman Kamarullah hutabarat, Putri Sari Hutagalung, Goklas Ikhwan, Ali Insan Taufik Ismail Husein, Ismail Izwita Dewi Kana Saputra S Karo, Nur Hidayah Br. Lumban Gaol , Ian Pedrosa Manatap Manihuruk, Hermanto MANSUR AS Manurung, Jeremia Mariani Mariani Mariani Mariani Misgiya, Misgiya Mukhtar Mukhtar Mulyono Mulyono Mulyono, Mulyono Nadya Ramadhani Nainggolan , Desta Asina Nasution , Alvi Sahrin Niska, Debi Yandra Nofertinus Zai, Fidelis Novalia, Essa Nuhrul Huda, Ella Nur Fitriani Nur Halimah Matondang Nur Hidayah Br Karo Nurul Maulida Surbakti Pajariah, Sri Putri Parapak, R Putri Angela Paula Putri Vansia Br. Siahaan Pernanda Tanjung, Alpha Reynaldi Purba, Feronika Paska Putri Sonia Br. Simarmata Rahmadani, Ulfy Rawiyah, Rawiyah Rima Aprilia Riri Syafitri Lubis Roder, Klause Said . Iskandar Sartika, Dewi . Serban, Razvan Sihaloho, Ruth Salisa Silaban, Indah Puspita Simamora, Elmanani Simanjuntak, Dewi Efarina Simanungkalit, Devi Febriany Simarmata, Putri Sonia Siregar, Rudi Sri Dewi Sri Wahyuni Suci Rachmadini, Haliza Syarida Aini, Desti Taruli Marito Silalahi Tri Andri Hutapea Ulfah, Indi Fauziati Ulfy Rahmadani Wahyu Tri Atmojo Widyasari, Rina Zulfahmi Indra, Zulfahmi