{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-05-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":52065,"title":"Nuclear Binding Energy","description":"Compute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. Round to the nearest MeV.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCompute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. Round to the nearest MeV.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function E = bindingEnergy(f)\r\n  E=m*c^2;\r\nend","test_suite":"%%\r\nf={'U-233','U-234','U-235','U-238'};\r\nbe =[1778,1785,1791,1810];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Xe-124','I-125','Ba-138','Ce-136','Pr-143','Sm-147','Pm-147'};\r\nbe=[1048,1057,1154,1139,1190,1218,1219];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Gd-157','Dy-159'};\r\nbe=[1290,1303];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Yb-171','Lu-176'};\r\nbe=[1386,1420];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Hf-180','Os-192','Re-187','Pt-198','Hg-204'};\r\nbe=[1448,1527,1493,1565,1603];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Tl-203','Pb-208','Po-209','Ra-228'};\r\nbe=[1596,1628,1632,1750];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Ti-46','Ca-48','S-32','Si-30'};\r\nbe=[400,413,269,255];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Th-232','Pa-231','Pu-241','Am-243','Cm-246'};\r\nbe=[1774,1767,1826,1837,1855];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Bk-249','Es-255','Fm-257','Db-262','P-33','F-19','Li-7'};\r\nbe=[1871,1905,1916,1932,280,149,38];\r\nassert(isequal(bindingEnergy(f),be));","published":true,"deleted":false,"likes_count":1,"comments_count":8,"created_by":145982,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-06-16T16:56:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-15T22:04:38.000Z","updated_at":"2021-06-16T16:56:42.000Z","published_at":"2021-06-15T22:07:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. 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Round to the nearest MeV.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCompute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. Round to the nearest MeV.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function E = bindingEnergy(f)\r\n  E=m*c^2;\r\nend","test_suite":"%%\r\nf={'U-233','U-234','U-235','U-238'};\r\nbe =[1778,1785,1791,1810];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Xe-124','I-125','Ba-138','Ce-136','Pr-143','Sm-147','Pm-147'};\r\nbe=[1048,1057,1154,1139,1190,1218,1219];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Gd-157','Dy-159'};\r\nbe=[1290,1303];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Yb-171','Lu-176'};\r\nbe=[1386,1420];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Hf-180','Os-192','Re-187','Pt-198','Hg-204'};\r\nbe=[1448,1527,1493,1565,1603];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Tl-203','Pb-208','Po-209','Ra-228'};\r\nbe=[1596,1628,1632,1750];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Ti-46','Ca-48','S-32','Si-30'};\r\nbe=[400,413,269,255];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Th-232','Pa-231','Pu-241','Am-243','Cm-246'};\r\nbe=[1774,1767,1826,1837,1855];\r\nassert(isequal(bindingEnergy(f),be));\r\n%%\r\nf={'Bk-249','Es-255','Fm-257','Db-262','P-33','F-19','Li-7'};\r\nbe=[1871,1905,1916,1932,280,149,38];\r\nassert(isequal(bindingEnergy(f),be));","published":true,"deleted":false,"likes_count":1,"comments_count":8,"created_by":145982,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-06-16T16:56:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-15T22:04:38.000Z","updated_at":"2021-06-16T16:56:42.000Z","published_at":"2021-06-15T22:07:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. Round to the nearest MeV.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"errors":[],"facets":[[],[{"value":"medium","count":1,"selected":false}]],"term":"tag:\"nuclear binding energy\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}