{"id":259526,"date":"2022-09-10T12:15:54","date_gmt":"2022-09-10T06:45:54","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-particle-of-mass-10g-moves-along-a-circle-of-radius-6-4cm-with-a-constant-tangential-acceleration-what-is-the-magnitude-of-this-acceleration-if-the-kinetic-energy-of-the-particl\/"},"modified":"2022-09-10T12:15:54","modified_gmt":"2022-09-10T06:45:54","slug":"a-particle-of-mass-10g-moves-along-a-circle-of-radius-6-4cm-with-a-constant-tangential-acceleration-what-is-the-magnitude-of-this-acceleration-if-the-kinetic-energy-of-the-particl","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-mass10gmoves-along-a-circle-of-radius64cm\/","title":{"rendered":"A particle of mass\u00a010g\u00a0moves along a circle of radius\u00a06.4cm\u00a0with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to\u00a08\u00d710-4\u00a0J\u00a0by the end of the second revolution after the beginning of the motion?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A particle of mass\u00a010g\u00a0moves along a circle of radius\u00a06.4cm\u00a0with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to\u00a08\u00d710-4\u00a0J\u00a0by the end of the second revolution after the beginning of the motion?","custom_permalink":"question\/physics\/a-particle-of-mass10gmoves-along-a-circle-of-radius64cm\/"},"categories":[],"acf":{"question":"<p>A particle of mass&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>10<\/mn><mi>g<\/mi><\/math>&nbsp;moves along a circle of radius&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>6<\/mn><mo>.<\/mo><mn>4<\/mn><mi>c<\/mi><mi>m<\/mi><\/math>&nbsp;with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>8<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>4<\/mn><\/mrow><\/msup><mo>&nbsp;<\/mo><mi>J<\/mi><\/math>&nbsp;by the end of the second revolution after the beginning of the motion?<\/p>","options":[{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>18<\/mn><mo>&nbsp;<\/mo><mi>m<\/mi><mo>\/<\/mo><msup><mi>s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>2<\/mn><mo>&nbsp;<\/mo><mi>m<\/mi><mo>\/<\/mo><msup><mi>s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>1<\/mn><mo>&nbsp;<\/mo><mi>m<\/mi><mo>\/<\/mo><msup><mi>s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":true},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>15<\/mn><mo>&nbsp;<\/mo><mi>m<\/mi><mo>\/<\/mo><msup><mi>s<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false}],"solution":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtext>&nbsp;Here,&nbsp;<\/mtext><mi>m<\/mi><mo>=<\/mo><mn>10<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">g<\/mi><mo>=<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><\/msup><mo>&nbsp;<\/mo><mi>kg<\/mi><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>R<\/mi><mo>=<\/mo><mn>6<\/mn><mo>.<\/mo><mn>4<\/mn><mo>&nbsp;<\/mo><mi>cm<\/mi><mo>=<\/mo><mn>6<\/mn><mo>.<\/mo><mn>4<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><mo>,<\/mo><msub><mi>K<\/mi><mi>f<\/mi><\/msub><mo>=<\/mo><mn>8<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>4<\/mn><\/mrow><\/msup><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">J<\/mi><mo>,<\/mo><msub><mi>K<\/mi><mi>i<\/mi><\/msub><mo>=<\/mo><mn>0<\/mn><mo>,<\/mo><msub><mi>a<\/mi><mi>t<\/mi><\/msub><mo>=<\/mo><mo>?<\/mo><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>U<\/mi><mi>sin<\/mi><mi>g<\/mi><mo>&nbsp;<\/mo><mi>w<\/mi><mi>o<\/mi><mi>r<\/mi><mi>k<\/mi><mo>-<\/mo><mi>e<\/mi><mi>n<\/mi><mi>e<\/mi><mi>r<\/mi><mi>g<\/mi><mi>y<\/mi><mo>&nbsp;<\/mo><mi>t<\/mi><mi>h<\/mi><mi>e<\/mi><mi>o<\/mi><mi>r<\/mi><mi>e<\/mi><mi>m<\/mi><mo>,<\/mo><mo>&nbsp;<\/mo><mi>W<\/mi><mi>o<\/mi><mi>r<\/mi><mi>k<\/mi><mo>&nbsp;<\/mo><mi>d<\/mi><mi>o<\/mi><mi>n<\/mi><mi>e<\/mi><mo>&nbsp;<\/mo><mi>b<\/mi><mi>y<\/mi><mo>&nbsp;<\/mo><mi>a<\/mi><mi>l<\/mi><mi>l<\/mi><mo>&nbsp;<\/mo><mi>t<\/mi><mi>h<\/mi><mi>e<\/mi><mo>&nbsp;<\/mo><mi>f<\/mi><mi>o<\/mi><mi>r<\/mi><mi>c<\/mi><mi>e<\/mi><mi>s<\/mi><mo>&nbsp;<\/mo><mo>=<\/mo><mo>&nbsp;<\/mo><mi>C<\/mi><mi>h<\/mi><mi>a<\/mi><mi>n<\/mi><mi>g<\/mi><mi>e<\/mi><mo>&nbsp;<\/mo><mi>i<\/mi><mi>n<\/mi><mo>&nbsp;<\/mo><mi>K<\/mi><mi>E<\/mi><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mi>W<\/mi><mtext>tangential force&nbsp;<\/mtext><\/msub><mo>+<\/mo><msub><mi>W<\/mi><mtext>centripetal force&nbsp;<\/mtext><\/msub><mo>=<\/mo><msub><mi>K<\/mi><mi>f<\/mi><\/msub><mo>-<\/mo><msub><mi>K<\/mi><mi>i<\/mi><\/msub><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtable><mtr><mtd><mo>\u21d2<\/mo><mo>&nbsp;&nbsp;<\/mo><msub><mi>F<\/mi><mi>t<\/mi><\/msub><mo>\u00d7<\/mo><mi>s<\/mi><mo>+<\/mo><mn>0<\/mn><mo>=<\/mo><msub><mi>K<\/mi><mi>f<\/mi><\/msub><mo>-<\/mo><mn>0<\/mn><mo>\u21d2<\/mo><mi>m<\/mi><msub><mi>a<\/mi><mi>t<\/mi><\/msub><mo>\u00d7<\/mo><mo>(<\/mo><mn>2<\/mn><mo>\u00d7<\/mo><mn>2<\/mn><mi>\u03c0<\/mi><mi>R<\/mi><mo>)<\/mo><mo>=<\/mo><msub><mi>K<\/mi><mi>f<\/mi><\/msub><\/mtd><\/mtr><mtr><mtd><mo>\u21d2<\/mo><msub><mi>a<\/mi><mi>t<\/mi><\/msub><mo>=<\/mo><mfrac><msub><mi>K<\/mi><mi>f<\/mi><\/msub><mrow><mn>4<\/mn><mi>\u03c0<\/mi><mi>R<\/mi><mi>m<\/mi><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mn>8<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>4<\/mn><\/mrow><\/msup><\/mrow><mrow><mn>4<\/mn><mo>\u00d7<\/mo><mfrac><mn>22<\/mn><mn>7<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>6<\/mn><mo>.<\/mo><mn>4<\/mn><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><\/msup><mo>\u00d7<\/mo><msup><mn>10<\/mn><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><\/msup><\/mrow><\/mfrac><\/mtd><\/mtr><mtr><mtd><mo>=<\/mo><mn>0<\/mn><mo>.<\/mo><mn>099<\/mn><mo>\u2248<\/mo><mn>0<\/mn><mo>.<\/mo><mn>1<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">m<\/mi><msup><mrow><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">s<\/mi><\/mrow><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><\/msup><\/mtd><\/mtr><\/mtable><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to\u00a08\u00d710-4\u00a0J\u00a0by the end of the second revolution after the beginning of the motion? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A particle of mass\u00a010g\u00a0moves along a circle of radius\u00a06.4cm\u00a0with a constant tangential acceleration. 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