{"id":255218,"date":"2022-09-10T11:25:14","date_gmt":"2022-09-10T05:55:14","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-body-of-mass-5kg-starts-from-the-origin-with-an-initial-velocityu%e2%86%9230i40jms%e2%88%921-if-a-constant-forcef%e2%86%92%e2%88%92i5jn-acts-on-the-body-the-time-i\/"},"modified":"2022-09-10T11:25:14","modified_gmt":"2022-09-10T05:55:14","slug":"a-body-of-mass-5kg-starts-from-the-origin-with-an-initial-velocityu%e2%86%9230i40jms%e2%88%921-if-a-constant-forcef%e2%86%92%e2%88%92i5jn-acts-on-the-body-the-time-i","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-body-of-mass-5kg-starts-from-the-origin-with-an--initial-v\/","title":{"rendered":"A body of mass 5kg starts from the origin with an initial velocityu\u2192=30i^+40j^ms\u22121 . \u00a0If a constant forceF\u2192=\u2212(i^+5j^)N \u00a0acts on the body, the time in which the y\u2013component of the velocity becomes zero is :"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A body of mass 5kg starts from the origin with an initial velocityu\u2192=30i^+40j^ms\u22121 . \u00a0If a constant forceF\u2192=\u2212(i^+5j^)N \u00a0acts on the body, the time in which the y\u2013component of the velocity becomes zero is :","custom_permalink":"question\/physics\/a-body-of-mass-5kg-starts-from-the-origin-with-an--initial-v\/"},"categories":[],"acf":{"question":"

A body of mass 5kg starts from the origin with an initial velocityu<\/mi>\u2192<\/mo><\/mover>=<\/mo>30<\/mn>i<\/mi>^<\/mo><\/mover>+<\/mo>40<\/mn>j<\/mi>^<\/mo><\/mover>m<\/mi>s<\/mi>\u2212<\/mo>1<\/mn><\/mrow><\/msup><\/mrow><\/math> <\/xml>.  If a constant forceF<\/mi>\u2192<\/mo><\/mover>=<\/mo>\u2212<\/mo>(<\/mo>i<\/mi>^<\/mo><\/mover>+<\/mo>5<\/mn>j<\/mi>^<\/mo><\/mover><\/mrow>)<\/mo><\/mrow>N<\/mi><\/mrow><\/math> <\/xml> acts on the body, the time in which the y\u2013component of the velocity becomes zero is :<\/p>","options":[{"option":"

5s <\/p>","correct":false},{"option":"

20s<\/b> <\/p>","correct":false},{"option":"

40s <\/p>","correct":true},{"option":"

80s <\/p>","correct":false}],"solution":"

m<\/mi>=<\/mo>5<\/mn>k<\/mi>g<\/mi>,<\/mo>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>u<\/mi>\u00af<\/mo><\/mover>=<\/mo>30<\/mn>i<\/mi>+<\/mo>40<\/mn>j<\/mi><\/mrow><\/math> <\/xml> <\/p>

F<\/mi>\u00af<\/mo><\/mover>=<\/mo>\u2212<\/mo>i<\/mi>\u2212<\/mo>5<\/mn>j<\/mi>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>V<\/mi>y<\/mi><\/msub>=<\/mo>0<\/mn>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>t<\/mi>=<\/mo>?<\/mo><\/mrow><\/math> <\/xml><\/p>

v<\/mi>y<\/mi><\/msub>=<\/mo>u<\/mi>y<\/mi><\/msub>+<\/mo>a<\/mi>y<\/mi><\/msub>t<\/mi>=<\/mo>u<\/mi>y<\/mi><\/msub>+<\/mo>F<\/mi>y<\/mi><\/msub><\/mrow>m<\/mi><\/mfrac>t<\/mi><\/mrow><\/math> <\/xml><\/p>

0<\/mn>=<\/mo>40<\/mn>+<\/mo>(<\/mo>\u2212<\/mo>5<\/mn><\/mrow>)<\/mo><\/mrow><\/mrow>5<\/mn><\/mfrac>t<\/mi>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>\u2009<\/mtext>t<\/mi>=<\/mo>40<\/mn>s<\/mi><\/mrow><\/math> <\/xml><\/p>

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