{"id":264544,"date":"2022-09-10T13:14:52","date_gmt":"2022-09-10T07:44:52","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-particle-moves-with-a-velocity-v%e2%86%925i%e2%88%923j6k-ms%e2%88%921-under-the-influence-of-a-constant-force-f%e2%86%9210i10j20kn-the-instantaneous-power-ap\/"},"modified":"2022-09-10T13:14:52","modified_gmt":"2022-09-10T07:44:52","slug":"a-particle-moves-with-a-velocity-v%e2%86%925i%e2%88%923j6k-ms%e2%88%921-under-the-influence-of-a-constant-force-f%e2%86%9210i10j20kn-the-instantaneous-power-ap","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-moves-with-a-velocityv5i3j6kms1under\/","title":{"rendered":"A particle moves with a velocity\u00a0v\u2192=(5i^\u22123j^+6k^)\u00a0ms\u22121\u00a0under the influence of a constant force\u00a0F\u2192=(10i^+10j^+20k^)N.\u00a0The instantaneous power applied to the particle is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A particle moves with a velocity\u00a0v\u2192=(5i^\u22123j^+6k^)\u00a0ms\u22121\u00a0under the influence of a constant force\u00a0F\u2192=(10i^+10j^+20k^)N.\u00a0The instantaneous power applied to the particle is","custom_permalink":"question\/physics\/a-particle-moves-with-a-velocityv5i3j6kms1under\/"},"categories":[],"acf":{"question":"<p>A particle moves with a velocity&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover accent=\"true\"><mi mathvariant=\"normal\">v<\/mi><mo stretchy=\"false\">\u2192<\/mo><\/mover><mo>=<\/mo><mo>(<\/mo><mn>5<\/mn><mover><mi mathvariant=\"normal\">i<\/mi><mo>^<\/mo><\/mover><mo>\u2212<\/mo><mn>3<\/mn><mover><mi mathvariant=\"normal\">j<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>6<\/mn><mover><mi mathvariant=\"normal\">k<\/mi><mo>^<\/mo><\/mover><mo>)<\/mo><mo>&nbsp;<\/mo><msup><mi>ms<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/math>&nbsp;under the influence of a constant force&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mover accent=\"true\"><mi mathvariant=\"normal\">F<\/mi><mo stretchy=\"false\">\u2192<\/mo><\/mover><mo>=<\/mo><mo>(<\/mo><mn>10<\/mn><mover><mi mathvariant=\"normal\">i<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>10<\/mn><mover><mi mathvariant=\"normal\">j<\/mi><mo>^<\/mo><\/mover><mo>+<\/mo><mn>20<\/mn><mover><mi mathvariant=\"normal\">k<\/mi><mo>^<\/mo><\/mover><mo>)<\/mo><mi mathvariant=\"normal\">N<\/mi><mo>.<\/mo><\/math>&nbsp;The instantaneous power applied to the particle is<\/p>","options":[{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>200<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">J<\/mi><mo>&nbsp;<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>40<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">J<\/mi><mo>&nbsp;<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>140<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">J<\/mi><mo>&nbsp;<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/math><\/p>","correct":true},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>170<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">J<\/mi><mo>&nbsp;<\/mo><msup><mi mathvariant=\"normal\">s<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/math><\/p>","correct":false}],"solution":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">P<\/mi><mo>=<\/mo><mover><mi mathvariant=\"normal\">F<\/mi><mo>\u2192<\/mo><\/mover><mo>\u22c5<\/mo><mover><mi mathvariant=\"normal\">v<\/mi><mo>\u2192<\/mo><\/mover><mo>=<\/mo><mn>50<\/mn><mo>\u2212<\/mo><mn>30<\/mn><mo>+<\/mo><mn>120<\/mn><mo>=<\/mo><mn>140<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">J<\/mi><mo>\/<\/mo><mi>sec<\/mi><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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