{"id":339758,"date":"2023-01-06T11:10:15","date_gmt":"2023-01-06T05:40:15","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-force-applied-on-a-body-of-mass-4-kg-for-5-seconds-changes-its-velocity-from10-m-s-to-20-m-s-the-power-required-is-1-w\/"},"modified":"2025-06-26T18:00:26","modified_gmt":"2025-06-26T12:30:26","slug":"a-force-applied-on-a-body-of-mass-4-kg-for-5-seconds-changes-its-velocity-from10-m-s-to-20-m-s-the-power-required-is-1-w","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-force-applied-on-a-body-of-mass-4kgfor-5seconds-changes\/","title":{"rendered":"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. The power required is [[1]] W."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. The power required is [[1]] W.","custom_permalink":"question\/physics\/a-force-applied-on-a-body-of-mass-4kgfor-5seconds-changes\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:0pt; line-height:normal; font-size:12pt\"><span>A force applied on a body of mass <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn mathcolor=\"0E101A\">4<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;kg&nbsp;<\/mi><\/math><span>for <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn mathcolor=\"0E101A\">5<\/mn><mi mathcolor=\"0E101A\">&nbsp;<\/mi><\/math><span>seconds changes its velocity from<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn mathcolor=\"0E101A\">10<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;m<\/mi><mo mathcolor=\"0E101A\">\/<\/mo><mi mathvariant=\"italic\" mathcolor=\"0E101A\">s to&nbsp;<\/mi><mn mathcolor=\"0E101A\">20<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;m<\/mi><mo mathcolor=\"0E101A\">\/<\/mo><mi mathcolor=\"0E101A\">s<\/mi><\/math><span>. The power required is [[1]] <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathcolor=\"0E101A\">W<\/mi><\/math><span>.<\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';color:#0e101a;-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';color:#0e101a;-aw-import:ignore\"><p><\/p><\/spanstyle=\"font-family:'timesnewroman';color:#0e101a;-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';color:#0e101a;-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\">","options":null,"solution":"<span>A force applied on a body of mass <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn mathcolor=\"0E101A\">4<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;kg&nbsp;<\/mi><\/math><span>for <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn mathcolor=\"0E101A\">5<\/mn><mi mathcolor=\"0E101A\">&nbsp;<\/mi><\/math><span>seconds changes its velocity from<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn mathcolor=\"0E101A\">10<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;m<\/mi><mo mathcolor=\"0E101A\">\/<\/mo><mi mathvariant=\"italic\" mathcolor=\"0E101A\">s to&nbsp;<\/mi><mn mathcolor=\"0E101A\">20<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;m<\/mi><mo mathcolor=\"0E101A\">\/<\/mo><mi mathcolor=\"0E101A\">s<\/mi><\/math><span>. The power required is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn mathcolor=\"0E101A\">120<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;W<\/mi><mo mathcolor=\"0E101A\">.<\/mo><\/math><br><span>Given:<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathcolor=\"0E101A\">m<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mn mathcolor=\"0E101A\">4<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;kg<\/mi><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathcolor=\"0E101A\">t<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mn mathcolor=\"0E101A\">5<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;s<\/mi><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathcolor=\"0E101A\">u<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mn mathcolor=\"0E101A\">10<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;m<\/mi><mo mathcolor=\"0E101A\">\/<\/mo><mi mathcolor=\"0E101A\">s<\/mi><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathcolor=\"0E101A\">v<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mn mathcolor=\"0E101A\">20<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;m<\/mi><mo mathcolor=\"0E101A\">\/<\/mo><mi mathcolor=\"0E101A\">s<\/mi><\/math><br><span>Using kinetic energy formula we have,<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\" mathcolor=\"0E101A\">W&nbsp;&nbsp;<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mfrac><mrow><mn mathcolor=\"0E101A\">1<\/mn><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/mfrac><mi mathcolor=\"0E101A\">m<\/mi><mfenced separators=\"|\"><mrow><msup><mrow><mi mathcolor=\"0E101A\">v<\/mi><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/msup><mo mathcolor=\"0E101A\">-<\/mo><msup><mrow><mi mathcolor=\"0E101A\">u<\/mi><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><\/math><span>&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo mathcolor=\"0E101A\">=<\/mo><mfrac><mrow><mn mathcolor=\"0E101A\">1<\/mn><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/mfrac><mi mathcolor=\"0E101A\">m<\/mi><mfenced separators=\"|\"><mrow><msup><mrow><mn mathcolor=\"0E101A\">20<\/mn><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/msup><mo mathcolor=\"0E101A\">-<\/mo><msup><mrow><mn mathcolor=\"0E101A\">10<\/mn><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathcolor=\"0E101A\">&nbsp;<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mfrac><mrow><mn mathcolor=\"0E101A\">1<\/mn><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/mfrac><mo mathcolor=\"0E101A\">\u00d7<\/mo><mn mathcolor=\"0E101A\">4<\/mn><mo mathcolor=\"0E101A\">\u00d7<\/mo><mo mathcolor=\"0E101A\">(<\/mo><mn mathcolor=\"0E101A\">400<\/mn><mo mathcolor=\"0E101A\">-<\/mo><mn mathcolor=\"0E101A\">100<\/mn><mo mathcolor=\"0E101A\">)<\/mo><mi mathcolor=\"0E101A\">&nbsp;<\/mi><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><\/math><span>&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo mathcolor=\"0E101A\">=<\/mo><mfrac><mrow><mn mathcolor=\"0E101A\">1<\/mn><\/mrow><mrow><mn mathcolor=\"0E101A\">2<\/mn><\/mrow><\/mfrac><mo mathcolor=\"0E101A\">\u00d7<\/mo><mn mathcolor=\"0E101A\">4<\/mn><mo mathcolor=\"0E101A\">\u00d7<\/mo><mn mathcolor=\"0E101A\">300<\/mn><\/math><br><span>&nbsp;<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathcolor=\"0E101A\">W<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mn mathcolor=\"0E101A\">600<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;J &nbsp;<\/mi><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\" mathcolor=\"0E101A\">Power&nbsp;&nbsp;<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mfrac><mrow><mi mathcolor=\"0E101A\">W<\/mi><\/mrow><mrow><mi mathcolor=\"0E101A\">t<\/mi><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathcolor=\"0E101A\">&nbsp;<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mfrac><mrow><mn mathcolor=\"0E101A\">600<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;J<\/mi><\/mrow><mrow><mn mathcolor=\"0E101A\">5<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;s<\/mi><\/mrow><\/mfrac><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;&nbsp;<\/mi><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathcolor=\"0E101A\">&nbsp;<\/mi><mo mathcolor=\"0E101A\">=<\/mo><mn mathcolor=\"0E101A\">120<\/mn><mi mathvariant=\"italic\" mathcolor=\"0E101A\">&nbsp;W<\/mi><\/math><br><span>&nbsp;<\/span>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. The power required is [[1]] W. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. The power required is [[1]] W.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-force-applied-on-a-body-of-mass-4kgfor-5seconds-changes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. The power required is [[1]] W. - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. 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The power required is [[1]] W. - Infinity Learn by Sri Chaitanya","description":"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. The power required is [[1]] W.","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:\/\/infinitylearn.com\/surge\/question\/physics\/a-force-applied-on-a-body-of-mass-4kgfor-5seconds-changes\/","og_locale":"en_US","og_type":"article","og_title":"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. The power required is [[1]] W. - Infinity Learn by Sri Chaitanya","og_description":"A force applied on a body of mass 4\u00a0kg\u00a0for 5\u00a0seconds changes its velocity from10\u00a0m\/s to\u00a020\u00a0m\/s. 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