{"id":87935,"date":"2025-06-01T06:58:08","date_gmt":"2025-06-01T06:58:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87935"},"modified":"2025-06-01T06:58:08","modified_gmt":"2025-06-01T06:58:08","slug":"two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/","title":{"rendered":"Two forces of 5.0 N each are acting on a point mass. If the angle betw"},"content":{"rendered":"

Two forces of 5.0 N each are acting on a point mass. If the angle between the forces is 60\u00b0, then the net force acting on the point mass has magnitude close to :<\/p>\n

[amp_mcq option1=”8.6 N” option2=”4.3 N” option3=”5.0 N” option4=”6.7 N” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is A.
\n<\/section>\n
\nThe magnitude of the resultant of two vectors (forces) can be found using the formula derived from the law of cosines: $|R| = \\sqrt{|F_1|^2 + |F_2|^2 + 2|F_1||F_2|\\cos\\theta}$, where $\\theta$ is the angle between the forces.
\n<\/section>\n
\nGiven $|F_1| = 5.0$ N, $|F_2| = 5.0$ N, and $\\theta = 60\u00b0$. The magnitude of the resultant force is $|R| = \\sqrt{5.0^2 + 5.0^2 + 2 \\cdot 5.0 \\cdot 5.0 \\cdot \\cos(60\u00b0)}$.
\n$|R| = \\sqrt{25 + 25 + 2 \\cdot 25 \\cdot (1\/2)} = \\sqrt{50 + 25} = \\sqrt{75}$.
\n$\\sqrt{75} = \\sqrt{25 \\cdot 3} = 5\\sqrt{3}$.
\nUsing the approximation $\\sqrt{3} \\approx 1.732$, $|R| \\approx 5 \\times 1.732 = 8.66$.
\nThe closest value among the options is 8.6 N.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Two forces of 5.0 N each are acting on a point mass. If the angle between the forces is 60\u00b0, then the net force acting on the point mass has magnitude close to : [amp_mcq option1=”8.6 N” option2=”4.3 N” option3=”5.0 N” option4=”6.7 N” correct=”option1″] This question was previously asked in UPSC NDA-1 – 2023 Download … <\/p>\n

Detailed SolutionTwo forces of 5.0 N each are acting on a point mass. If the angle betw<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1093],"tags":[1105,1129,1128],"class_list":["post-87935","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1105","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nTwo forces of 5.0 N each are acting on a point mass. If the angle betw<\/title>\n<meta name=\"description\" content=\"The correct option is A. The magnitude of the resultant of two vectors (forces) can be found using the formula derived from the law of cosines: $|R| = sqrt{|F_1|^2 + |F_2|^2 + 2|F_1||F_2|costheta}$, where $theta$ is the angle between the forces.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two forces of 5.0 N each are acting on a point mass. If the angle betw\" \/>\n<meta property=\"og:description\" content=\"The correct option is A. The magnitude of the resultant of two vectors (forces) can be found using the formula derived from the law of cosines: $|R| = sqrt{|F_1|^2 + |F_2|^2 + 2|F_1||F_2|costheta}$, where $theta$ is the angle between the forces.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:58:08+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Two forces of 5.0 N each are acting on a point mass. 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The magnitude of the resultant of two vectors (forces) can be found using the formula derived from the law of cosines: $|R| = sqrt{|F_1|^2 + |F_2|^2 + 2|F_1||F_2|costheta}$, where $theta$ is the angle between the forces.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:58:08+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/","url":"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/","name":"Two forces of 5.0 N each are acting on a point mass. 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The magnitude of the resultant of two vectors (forces) can be found using the formula derived from the law of cosines: $|R| = \\sqrt{|F_1|^2 + |F_2|^2 + 2|F_1||F_2|\\cos\\theta}$, where $\\theta$ is the angle between the forces.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/two-forces-of-5-0-n-each-are-acting-on-a-point-mass-if-the-angle-betw\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-1\/"},{"@type":"ListItem","position":3,"name":"Two forces of 5.0 N each are acting on a point mass. 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