{"id":338584,"date":"2023-01-06T10:29:15","date_gmt":"2023-01-06T04:59:15","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-body-with-mass-5kg-is-acted-upon-by-a-force-f%e2%88%923i4jn-if-its-initial-velocity-at-t0-v6i%e2%88%9212jms%e2%88%921-the-time-at-which-it-will-just-have-a-velocity-along-th\/"},"modified":"2025-06-26T17:54:54","modified_gmt":"2025-06-26T12:24:54","slug":"a-body-with-mass-5kg-is-acted-upon-by-a-force-f%e2%88%923i4jn-if-its-initial-velocity-at-t0-v6i%e2%88%9212jms%e2%88%921-the-time-at-which-it-will-just-have-a-velocity-along-th","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-body-with-mass-5kg-is-acted-upon-by-a-forcef3i4jn\/","title":{"rendered":"A body with mass 5kg is acted upon by a force\u00a0f=(\u22123i^+4j^)N. If its initial velocity at t=0,\u00a0v=(6i^\u221212j^)ms\u22121, the time at which it will just have a velocity along the y axis is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A body with mass 5kg is acted upon by a force\u00a0f=(\u22123i^+4j^)N. If its initial velocity at t=0,\u00a0v=(6i^\u221212j^)ms\u22121, the time at which it will just have a velocity along the y axis is","custom_permalink":"question\/physics\/a-body-with-mass-5kg-is-acted-upon-by-a-forcef3i4jn\/"},"categories":[],"acf":{"question":"<p>A body with mass 5kg is acted upon by a force&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">f<\/mi><mo>=<\/mo><mo>(<\/mo><mo>\u2212<\/mo><mn>3<\/mn><mover><mi mathvariant=\"normal\">i<\/mi><mo stretchy=\"false\">^<\/mo><\/mover><mo>+<\/mo><mn>4<\/mn><mover><mi mathvariant=\"normal\">j<\/mi><mo stretchy=\"false\">^<\/mo><\/mover><mo>)<\/mo><mi mathvariant=\"normal\">N<\/mi><\/math>. If its initial velocity at t=0,&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">v<\/mi><mo>=<\/mo><mo>(<\/mo><mn>6<\/mn><mover><mi mathvariant=\"normal\">i<\/mi><mo stretchy=\"false\">^<\/mo><\/mover><mo>\u2212<\/mo><mn>12<\/mn><mover><mi mathvariant=\"normal\">j<\/mi><mo stretchy=\"false\">^<\/mo><\/mover><mo>)<\/mo><msup><mi>ms<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/math>, the time at which it will just have a velocity along the y axis is<\/p>","options":[{"option":"<p>15 sec<\/p>","correct":false},{"option":"<p>10 sec<\/p>","correct":true},{"option":"<p>2 sec<\/p>","correct":false},{"option":"<p>Never<\/p>","correct":false}],"solution":"<p>When the body has velocity along y-axis its velocity along the X-axis becomes zero then V<sub>x<\/sub> = 0<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\"><mtr><mtd><msub><mi mathvariant=\"normal\">V<\/mi><mi mathvariant=\"normal\">x<\/mi><\/msub><\/mtd><mtd><mo>=<\/mo><msub><mi mathvariant=\"normal\">u<\/mi><mi mathvariant=\"normal\">x<\/mi><\/msub><mo>+<\/mo><msub><mi mathvariant=\"normal\">a<\/mi><mi mathvariant=\"normal\">x<\/mi><\/msub><mi mathvariant=\"normal\">t<\/mi><\/mtd><\/mtr><mtr><mtd>&nbsp;<\/mtd><mtd><mo>=<\/mo><msub><mi mathvariant=\"normal\">u<\/mi><mi mathvariant=\"normal\">x<\/mi><\/msub><mo>+<\/mo><mfrac><msub><mi>F<\/mi><mi mathvariant=\"normal\">x<\/mi><\/msub><mi mathvariant=\"normal\">m<\/mi><\/mfrac><mi mathvariant=\"normal\">t<\/mi><\/mtd><\/mtr><mtr><mtd><mn>0<\/mn><\/mtd><mtd><mo>=<\/mo><mn>6<\/mn><mover><mi mathvariant=\"normal\">i<\/mi><mo stretchy=\"false\">^<\/mo><\/mover><mo>\u2212<\/mo><mfrac><mrow><mn>3<\/mn><mover><mi mathvariant=\"normal\">i<\/mi><mo stretchy=\"false\">^<\/mo><\/mover><\/mrow><mn>5<\/mn><\/mfrac><mi mathvariant=\"normal\">t<\/mi><\/mtd><\/mtr><mtr><mtd><mo stretchy=\"false\">\u21d2<\/mo><\/mtd><mtd><mn>3<\/mn><mi mathvariant=\"normal\">t<\/mi><mo>=<\/mo><mn>30<\/mn><\/mtd><\/mtr><mtr><mtd><mo stretchy=\"false\">\u21d2<\/mo><\/mtd><mtd><mi mathvariant=\"normal\">t<\/mi><mo>=<\/mo><mn>10<\/mn><mi>sec<\/mi><\/mtd><\/mtr><\/mtable><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A body with mass 5kg is acted upon by a force\u00a0f=(\u22123i^+4j^)N. If its initial velocity at t=0,\u00a0v=(6i^\u221212j^)ms\u22121, the time at which it will just have a velocity along the y axis is - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A body with mass 5kg is acted upon by a force\u00a0f=(\u22123i^+4j^)N. If its initial velocity at t=0,\u00a0v=(6i^\u221212j^)ms\u22121, the time at which it will just have a velocity along the y axis is\" \/>\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-body-with-mass-5kg-is-acted-upon-by-a-forcef3i4jn\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A body with mass 5kg is acted upon by a force\u00a0f=(\u22123i^+4j^)N. 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