{"id":84514,"date":"2025-06-01T02:33:12","date_gmt":"2025-06-01T02:33:12","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=84514"},"modified":"2025-06-01T02:33:12","modified_gmt":"2025-06-01T02:33:12","slug":"the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant\/","title":{"rendered":"The rate of change of momentum of a body is equal to the resultant :"},"content":{"rendered":"

The rate of change of momentum of a body is equal to the resultant :<\/p>\n

[amp_mcq option1=”energy” option2=”power” option3=”force” option4=”impulse” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-1 – 2016<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is C) force.
\n<\/section>\n
\nAccording to Newton’s Second Law of Motion, the rate of change of momentum of a body is directly proportional to the net force applied to it and occurs in the direction of the applied force. Mathematically, this is expressed as F = dp\/dt, where F is the net force, p is the momentum, and t is time.
\nMomentum (p) is defined as the product of mass (m) and velocity (v), i.e., p = mv.
\nIf mass is constant, the rate of change of momentum is d(mv)\/dt = m(dv\/dt) = ma, where a is acceleration. This is the more commonly known form of Newton’s Second Law, F = ma.
\n<\/section>\n
\nEnergy is related to work and the capacity to do work. Power is the rate at which work is done or energy is transferred. Impulse is the change in momentum, calculated as the product of force and the time interval over which it acts (Impulse = F * \u0394t = \u0394p). The question specifically asks for the *rate* of change of momentum, which is defined as force.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The rate of change of momentum of a body is equal to the resultant : [amp_mcq option1=”energy” option2=”power” option3=”force” option4=”impulse” correct=”option3″] This question was previously asked in UPSC CDS-1 – 2016 Download PDFAttempt Online The correct option is C) force. According to Newton’s Second Law of Motion, the rate of change of momentum of a … <\/p>\n

Detailed SolutionThe rate of change of momentum of a body is equal to the resultant :<\/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":[1087],"tags":[1098,1129,1128],"class_list":["post-84514","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-1","tag-1098","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe rate of change of momentum of a body is equal to the resultant :<\/title>\n<meta name=\"description\" content=\"The correct option is C) force. According to Newton's Second Law of Motion, the rate of change of momentum of a body is directly proportional to the net force applied to it and occurs in the direction of the applied force. Mathematically, this is expressed as F = dp\/dt, where F is the net force, p is the momentum, and t is time. Momentum (p) is defined as the product of mass (m) and velocity (v), i.e., p = mv. If mass is constant, the rate of change of momentum is d(mv)\/dt = m(dv\/dt) = ma, where a is acceleration. This is the more commonly known form of Newton's Second Law, F = ma.\" \/>\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\/the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The rate of change of momentum of a body is equal to the resultant :\" \/>\n<meta property=\"og:description\" content=\"The correct option is C) force. According to Newton's Second Law of Motion, the rate of change of momentum of a body is directly proportional to the net force applied to it and occurs in the direction of the applied force. Mathematically, this is expressed as F = dp\/dt, where F is the net force, p is the momentum, and t is time. Momentum (p) is defined as the product of mass (m) and velocity (v), i.e., p = mv. If mass is constant, the rate of change of momentum is d(mv)\/dt = m(dv\/dt) = ma, where a is acceleration. This is the more commonly known form of Newton's Second Law, F = ma.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T02:33:12+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":"The rate of change of momentum of a body is equal to the resultant :","description":"The correct option is C) force. According to Newton's Second Law of Motion, the rate of change of momentum of a body is directly proportional to the net force applied to it and occurs in the direction of the applied force. Mathematically, this is expressed as F = dp\/dt, where F is the net force, p is the momentum, and t is time. Momentum (p) is defined as the product of mass (m) and velocity (v), i.e., p = mv. If mass is constant, the rate of change of momentum is d(mv)\/dt = m(dv\/dt) = ma, where a is acceleration. This is the more commonly known form of Newton's Second Law, F = ma.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant\/","og_locale":"en_US","og_type":"article","og_title":"The rate of change of momentum of a body is equal to the resultant :","og_description":"The correct option is C) force. According to Newton's Second Law of Motion, the rate of change of momentum of a body is directly proportional to the net force applied to it and occurs in the direction of the applied force. Mathematically, this is expressed as F = dp\/dt, where F is the net force, p is the momentum, and t is time. Momentum (p) is defined as the product of mass (m) and velocity (v), i.e., p = mv. If mass is constant, the rate of change of momentum is d(mv)\/dt = m(dv\/dt) = ma, where a is acceleration. This is the more commonly known form of Newton's Second Law, F = ma.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T02:33:12+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\/the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-rate-of-change-of-momentum-of-a-body-is-equal-to-the-resultant\/","name":"The rate of change of momentum of a body is equal to the resultant :","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T02:33:12+00:00","dateModified":"2025-06-01T02:33:12+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is C) force. According to Newton's Second Law of Motion, the rate of change of momentum of a body is directly proportional to the net force applied to it and occurs in the direction of the applied force. Mathematically, this is expressed as F = dp\/dt, where F is the net force, p is the momentum, and t is time. Momentum (p) is defined as the product of mass (m) and velocity (v), i.e., p = mv. If mass is constant, the rate of change of momentum is d(mv)\/dt = m(dv\/dt) = ma, where a is acceleration. 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