{"id":85217,"date":"2025-06-01T03:08:00","date_gmt":"2025-06-01T03:08:00","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=85217"},"modified":"2025-06-01T03:08:00","modified_gmt":"2025-06-01T03:08:00","slug":"what-happens-to-the-gravitational-force-between-two-objects-if-the-mas","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/what-happens-to-the-gravitational-force-between-two-objects-if-the-mas\/","title":{"rendered":"What happens to the gravitational force between two objects if the mas"},"content":{"rendered":"

What happens to the gravitational force between two objects if the mass of one object is doubled and the distance between them is also doubled ?<\/p>\n

[amp_mcq option1=”The force would remain the same” option2=”The force would be doubled” option3=”The force would be halved” option4=”The force would increase by a factor of 4″ correct=”option3″]<\/p>\n

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\n
This question was previously asked in<\/div>\n
UPSC CDS-1 – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nAccording to Newton’s Law of Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. Doubling one mass increases the force by a factor of 2. Doubling the distance increases the distance squared by a factor of 4 (2^2), which decreases the force by a factor of 4. The combined effect is a force that is (2 * 1) \/ 4 = 1\/2 times the original force.
\n<\/section>\n
\nNewton’s Law of Gravitation is given by F = G * (m1 * m2) \/ r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.
\n<\/section>\n
\nIf the mass of one object is doubled (m1′ = 2m1) and the distance is doubled (r’ = 2r), the new force F’ is given by F’ = G * (m1′ * m2) \/ (r’)^2 = G * (2m1 * m2) \/ (2r)^2 = G * (2m1 * m2) \/ (4r^2) = (2\/4) * G * (m1 * m2) \/ r^2 = (1\/2) * F. Thus, the force would be halved.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

What happens to the gravitational force between two objects if the mass of one object is doubled and the distance between them is also doubled ? [amp_mcq option1=”The force would remain the same” option2=”The force would be doubled” option3=”The force would be halved” option4=”The force would increase by a factor of 4″ correct=”option3″] This question … <\/p>\n

Detailed SolutionWhat happens to the gravitational force between two objects if the mas<\/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":[1108,1129,1128],"class_list":["post-85217","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-1","tag-1108","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nWhat happens to the gravitational force between two objects if the mas<\/title>\n<meta name=\"description\" content=\"According to Newton's Law of Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. Doubling one mass increases the force by a factor of 2. Doubling the distance increases the distance squared by a factor of 4 (2^2), which decreases the force by a factor of 4. The combined effect is a force that is (2 * 1) \/ 4 = 1\/2 times the original force. Newton's Law of Gravitation is given by F = G * (m1 * m2) \/ r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.\" \/>\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\/what-happens-to-the-gravitational-force-between-two-objects-if-the-mas\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What happens to the gravitational force between two objects if the mas\" \/>\n<meta property=\"og:description\" content=\"According to Newton's Law of Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. Doubling one mass increases the force by a factor of 2. Doubling the distance increases the distance squared by a factor of 4 (2^2), which decreases the force by a factor of 4. The combined effect is a force that is (2 * 1) \/ 4 = 1\/2 times the original force. Newton's Law of Gravitation is given by F = G * (m1 * m2) \/ r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/what-happens-to-the-gravitational-force-between-two-objects-if-the-mas\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:08:00+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":"What happens to the gravitational force between two objects if the mas","description":"According to Newton's Law of Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. 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Newton's Law of Gravitation is given by F = G * (m1 * m2) \/ r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.","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\/what-happens-to-the-gravitational-force-between-two-objects-if-the-mas\/","og_locale":"en_US","og_type":"article","og_title":"What happens to the gravitational force between two objects if the mas","og_description":"According to Newton's Law of Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. Doubling one mass increases the force by a factor of 2. Doubling the distance increases the distance squared by a factor of 4 (2^2), which decreases the force by a factor of 4. The combined effect is a force that is (2 * 1) \/ 4 = 1\/2 times the original force. Newton's Law of Gravitation is given by F = G * (m1 * m2) \/ r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/what-happens-to-the-gravitational-force-between-two-objects-if-the-mas\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:08:00+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\/what-happens-to-the-gravitational-force-between-two-objects-if-the-mas\/","url":"https:\/\/exam.pscnotes.com\/mcq\/what-happens-to-the-gravitational-force-between-two-objects-if-the-mas\/","name":"What happens to the gravitational force between two objects if the mas","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:08:00+00:00","dateModified":"2025-06-01T03:08:00+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"According to Newton's Law of Gravitation, the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. 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