{"common":{"save":0,"post_id":"6159","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5241","mon_id":"1158790","chapter_id":"1158796","post_id":"6159","question":"<p>Cho hai l\u1ef1c \u0111ô\u0300ng quy có \u0111\u1ed9 l\u1edbn<span class=\"math-tex\">${F_{1}}=40N$<\/span> và <span class=\"math-tex\">$F_{2}=30N$<\/span>. Hãy tìm \u0111\u1ed9 l\u1edbn c\u1ee7a hai l\u1ef1c khi chúng h\u1ee3p nhau m\u1ed9t góc 60°. <\/p>","options":["A. <span class=\"math-tex\">$7\\sqrt 3 (N)$<\/span>","B. <span class=\"math-tex\">$10\\sqrt {37} (N)$<\/span>","C. <span class=\"math-tex\">$3\\sqrt 7 (N)$<\/span>","D. <span class=\"math-tex\">$73\\sqrt {10} (N)$<\/span>"],"correct":"2","level":"2","hint":"<p>S\u1eed d\u1ee5ng công th\u1ee9c <span class=\"math-tex\">$F=\\sqrt{F_{1}^2+F_{2}^2 + 2F_{1}F_{2}cos\\alpha}$<\/span><\/p>","answer":"<p><span style=\"color:#27ae60;\"><strong>Ch\u1ecdn B.<\/strong><\/span><br \/> <span class=\"svgedit\"><svg height=\"113\" width=\"183\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"115\" id=\"canvas_background\" width=\"185\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <image height=\"139\" id=\"svg_1\" stroke=\"null\" width=\"215.00001\" x=\"-22\" xlink:href=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAABHCAMAAAD2iAPfAAAB1FBMVEX\/\/\/8AAP8AgABYWOf7+\/sAAAD5+fnX1+e9veHr4uL08vK9rJnlYmLfp6f39\/fv8vJiYuVDWHjZzsLc4+Z+fuHy8\/MTEy4LhAsMDPsuLvHCztmFhYV4WEPK18rG1MS3y7Y5lDnw7e+9z72ux66fv591rHXo6+jX39d+sH5rqGtYoFgjjCMXiBfy8u\/t7+3u6ejS0+Tp3d3hvb1efpeHtIeQd4To6u1ra+Ti5+Ln19fkzMytmZmbkJCQt45DmEM7O+7KyuMwAM\/Gxbjgj4\/pTk4iIk5Qmk0ukC70IyNDQ+zi4uu2tuDk4t+urt+UlN8AEN\/d4928xtDT1c6yusnixMSfrsPOwcG4uL+\/uLjgsrJQAK+Zma2km6SCjqSYvJgAOI+kjoLieXkDSnDka2tpRGnnWFhQUFDuOTkAaDAAbiSePQ8jI\/ROTunExOKHh+BOWtAAGM9HWsTGy765lr3Ko7jJnbLGtq+nw6eDp5iEd5AoWo94AIdjd4IbV39qeXmXnXiHAHjWWmtipGIYY2KXfl6xeF6Ii1tuiljaOU04WEzsQ0O\/AEAzjT6yUDHPADDxLi6AZSshhyk\/PyZOIiLKMx34Fxc0dRLTHQkgcAAAMwCfMADfEACXXh\/eAAADMUlEQVRo3u3ZB1MaQRTA8XcIF0BFLIgFURTFjqARIXaNLZrYoyYaS4wxvffee+\/5slm4hSUaztt7BJIZ\/oM6N6P87i0ezq2Q6l9PnGuFJOVuLy4u\/rAoQqqEJ9p0ofJzITnlhOQryeRR4XnxIMQx8XArH99wKG508Do+NsHB60jNAA0fdTOQ6Nj0s1kNR7MAEfq1X0b8EmJ42pwYr7eRIhV8ThHgS88W6TMpPt1mSZe+4Hl1P8fWDMvvyYLEx6bYq5b\/\/6cnvOpMJuBK63S6quLEW\/S+AsIbjByPXg2pbKDjau8oOVTPW\/alCYJgJgNlZPI8nmgiffkUuo7zc9XZJD3wpq2L8KWgJsfYsEAja8+bayCsn3Cr4kfyhHBmXrslanaq8+dIo7xejU1nN4D6unjXviRsd1a0kM9WO0bP41v7kur6sN1Ijoj+2oHUzeRDz2UPEDuYS2O94MXpRPaRtVdu15ZagOayPjaidbDstPZae6WV2azx3j60TvLpFdkPJJvlNeF10ohpZ7umfNs3eTK0WF0uU3lsm2TQYmeXtWs0MjbR35qQ+s62tdIeY0YDYGfnt1meob+iW0prZWyW0aEa1\/p67r18tr4SiGnXV5eAXO7PoF43Cws3L\/r93rUND5fNMgQQemTl3f1ekGqsUG6DMQOwOj1Y94TsTsmua5kEBQUy0TrN0T9K7e+65\/bropJnoDheJ3O\/+yHN\/fSWONneDAqa7kPpBafpQZWzTKP59lOjGewYh\/QiEG1K7jPnAac3MTvY17ttQCK8oh2W+TWszmwyd9vKtHSLvyim32ma3XIC3d3b3mqxetsStcuWgnP302t\/WZdtsW198R3C8G8n4H2B06c6BqntpPeHQ0aQ6ZQgdOmjTseI0M+tvmc2zSj\/p2O\/QCqkJxDYYHuXvPr51U3JfnVtYhfr\/uVdchGenYDfEN67nOLlH0r28SMHhOh63gjKKtQb+kB9m8yObqFHUOpf8iP4mds3zqbx1xUZXsXmIb4xhvNvHuI7w\/AoPlFpTxI8edtnTRTfvnko2hKwg9gae\/NQ3I3gsZuHKT7xPN08RPP4HumyU\/\/7TvWnfgEQTnLqM+o3AgAAAABJRU5ErkJggg==\" y=\"-12.5\"><\/image> <\/g> <\/svg><\/span><br \/>Ta có <span class=\"math-tex\">$\\overrightarrow{F}=\\overrightarrow{F_{1}}+\\overrightarrow{F_{2}}$<\/span> , <span class=\"math-tex\">$(\\overrightarrow{F_{1}};\\overrightarrow{F_{2}})=60$<\/span> °.<\/p><p><span class=\"math-tex\">$\\Rightarrow F^2={F_{1}^2+F_{2}^2 + 2F_{1}F_{2}cos\\alpha}$<\/span><br \/> <span class=\"math-tex\">$\\Rightarrow F^2={40^2+30^2 + 2.40.30cos60\\circ}$<\/span><\/p><p><span class=\"math-tex\">$\\Rightarrow F=10\\sqrt {37} (N)$<\/span> <\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2022-08-30 02:05:30","option_type":"math","len":0},{"id":"5242","mon_id":"1158790","chapter_id":"1158796","post_id":"6159","question":"<p>Cho hai l\u1ef1c \u0111ô\u0300ng quy có \u0111\u1ed9 l\u1edbn<span class=\"math-tex\">${F_{1}}=40N$<\/span> và <span class=\"math-tex\">$F_{2}=30N$<\/span>. Hãy tìm \u0111\u1ed9 l\u1edbn c\u1ee7a hai l\u1ef1c khi chúng h\u1ee3p nhau m\u1ed9t góc 90°:<\/p>","options":["A. 70N ","B. 50N ","C. 60N ","D. 40N"],"correct":"2","level":"2","hint":"<p>S\u1eed d\u1ee5ng công th\u1ee9c <span class=\"math-tex\">$F=\\sqrt{F_{1}^2+F_{2}^2 + 2F_{1}F_{2}cos\\alpha}$<\/span><\/p>","answer":"<p><strong><span style=\"color:#27ae60;\">Ch\u1ecdn B.<\/span><\/strong><br \/> <span class=\"svgedit\"><svg height=\"168\" width=\"231\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"170\" id=\"canvas_background\" width=\"233\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <image height=\"181.00001\" id=\"svg_1\" stroke=\"null\" width=\"253.00001\" x=\"-13.5\" xlink:href=\"data:image\/png;base64,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\" y=\"-3\"><\/image> <\/g> <\/svg><\/span><br \/>Ta có <span class=\"math-tex\">$\\overrightarrow{F}=\\overrightarrow{F_{1}}+\\overrightarrow{F_{2}}$<\/span> , <span class=\"math-tex\">$(\\overrightarrow{F_{1}};\\overrightarrow{F_{2}})=90$<\/span>°.<\/p><p><span class=\"math-tex\">$\\Rightarrow F^2={F_{1}^2+F_{2}^2 }$<\/span><\/p><p><span class=\"math-tex\">$\\Rightarrow F^2={40^2+30^2}$<\/span><\/p><p><span class=\"math-tex\">$\\Rightarrow F=50 (N)$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2022-08-30 02:12:26","option_type":"txt","len":0},{"id":"5243","mon_id":"1158790","chapter_id":"1158796","post_id":"6159","question":"<p>Cho hai l\u1ef1c \u0111ô\u0300ng quy có \u0111\u1ed9 l\u1edbn <span class=\"math-tex\">${F_{1}}=40N$<\/span> và <span class=\"math-tex\">$F_{2}=30N$<\/span>. Hãy tìm \u0111\u1ed9 l\u1edbn c\u1ee7a hai l\u1ef1c khi chúng h\u1ee3p nhau m\u1ed9t góc 120 °.<\/p>","options":["A. 70N ","B. <span class=\"math-tex\">$5\\sqrt {3} N$<\/span> ","C. 60N ","D. <span class=\"math-tex\">$10\\sqrt {13} (N)$<\/span>"],"correct":"4","level":"2","hint":"<p>S\u1eed d\u1ee5ng công th\u1ee9c <span class=\"math-tex\">$F=\\sqrt{F_{1}^2+F_{2}^2 + 2F_{1}F_{2}cos\\alpha}$<\/span><\/p>","answer":"<p><span style=\"color:#27ae60;\"><strong>Ch\u1ecdn D<\/strong><\/span><br \/> <span class=\"svgedit\"><svg height=\"136\" width=\"237\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"138\" id=\"canvas_background\" width=\"239\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <image height=\"187.99999\" id=\"svg_1\" stroke=\"null\" width=\"259.00001\" x=\"-8\" xlink:href=\"data:image\/png;base64,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\" y=\"-29.5\"><\/image> <\/g> <\/svg><\/span><br \/>Ta có <span class=\"math-tex\">$\\overrightarrow{F}=\\overrightarrow{F_{1}}+\\overrightarrow{F_{2}}$<\/span> , <span class=\"math-tex\">$(\\overrightarrow{F_{1}};\\overrightarrow{F_{2}})=120$<\/span> °. <br \/> <span class=\"math-tex\">$\\Rightarrow F^2={F_{1}^2+F_{2}^2 + 2F_{1}F_{2}cos\\alpha}$<\/span><br \/> <span class=\"math-tex\">$\\Rightarrow F^2={40^2+30^2 + 2.40.30cos120\\circ}$<\/span><\/p><p><span class=\"math-tex\">$\\Rightarrow F=10\\sqrt {13} (N)$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2022-08-30 02:19:10","option_type":"math","len":0}]}