");vwo_$('head').append(_vwo_sel);return vwo_$('head')[0] && vwo_$('head')[0].lastChild;})("HEAD")}}, R_940895_48_1_2_0:{ fn:function(log,nonce=''){return (function(x) { if(!vwo_$.fn.vwoRevertHtml){ return; }; var ctx=vwo_$(x),el; /*vwo_debug log("Revert","content",""); vwo_debug*/; el=vwo_$('[vwo-element-id="1742919897117"]'); el.revertContentOp().remove();})("HEAD")}}, C_940895_48_1_2_1:{ fn:function(log,nonce=''){return (function(x) {var el,ctx=vwo_$(x); /*vwo_debug log("editElement",".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > h2:nth-of-type(1) > span:nth-of-type(1)"); vwo_debug*/(el=vwo_$(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > h2:nth-of-type(1) > span:nth-of-type(1)")).html("Hello! David Brancaccio here. Do you want instant access to the free online course - “Economics 101” - to understand basic economic concepts?");})(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > h2:nth-of-type(1) > span:nth-of-type(1)")}}, R_940895_48_1_2_1:{ fn:function(log,nonce=''){return (function(x) { if(!vwo_$.fn.vwoRevertHtml){ return; }; var el,ctx=vwo_$(x); /*vwo_debug log("Revert","editElement",".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > h2:nth-of-type(1) > span:nth-of-type(1)"); vwo_debug*/(el=vwo_$(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > h2:nth-of-type(1) > span:nth-of-type(1)")).vwoRevertHtml();})(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > h2:nth-of-type(1) > span:nth-of-type(1)")}}, C_940895_48_1_2_2:{ fn:function(log,nonce=''){return (function(x) {var el,ctx=vwo_$(x); /*vwo_debug log("content","[vwo-element-id='1742482566780']"); vwo_debug*/(el=vwo_$("[vwo-element-id='1742482566780']")).replaceWith2("You'll gain real-world insights into how economics impacts your daily life with this easy-to-follow online course. This crash course is based on the acclaimed textbook Economy, Society, and Public Policy by CORE Econ, tailored to help you grasp key concepts without feeling overwhelmed.

Whether you're new to economics or just want to deepen your understanding, this course covers the basics and connects them to today’s pressing issues—from inequality to public policy decisions.

Each week, you'll receive a reading guide that distills core principles, offers actionable takeaways, and explains how they affect the current world. While the full ebook enriches the experience, the guides alone provide a comprehensive understanding of fundamental economic ideas.

You’ll find this course especially useful and unique because…
"),el=vwo_$("[vwo-element-id='1742482566780']");})("[vwo-element-id='1742482566780']")}}, C_940895_16_1_2_0:{ fn:function(log,nonce=''){return (function(x) { try{ var _vwo_sel = vwo_$("`); !vwo_$("head").find('#1738257835657').length && vwo_$('head').append(_vwo_sel);}catch(e) {console.error(e)} try{}catch(e) {console.error(e)} try{const DEAR_READER_HEADING_HTML="

Dear reader,

",DEAR_READER_BODY_HTML="\n

Political debates with family or friends can get heated. But what if there was a way to handle them better?

\n

You can learn how to have civil political conversations with our new e-book!

\n

Download our free e-book, Talking Sense: Have Hard Political Conversations, Better, and learn how to talk without the tension.

\n",DEAR_READER_CTA_TEXT="Get your free ebook »",DEAR_READER_CTA_LINK="https://cloud.connect.mpr.org/mprnews-cfw03-01-talking-sense?utm_campaign=cfw_talkingsense&utm_term=dearreader_co";!function(){const e=async function(r,t=100,n=1e4){t=Number.isInteger(t)&&t>0&&t<=100?t:parseInt(t);let a="Array";if("NaN"==t)return console.error("Invalid refresh interval:",t);Array.isArray(r)||"string"!=typeof r||(a="string",r=[r]);let o=e=>document.querySelector(e),i=e=>e.every(e=>!!o(e));return new Promise((l,s)=>{let c=(e,r=null)=>(r&&clearInterval(r),l("Array"==a||e.length>1?e.map(e=>o(e)):o(e[0]))),d=a=>{console.error(`${a.name}: ${a.message}`);return s(a,()=>e(r,t=100,n=1e4))};try{if(i(r))return c(r);let e=setInterval(()=>{if(i(r))return c(r,e)},1e3/t);setTimeout(()=>{try{if(!i(r)){clearInterval(e);let r=Error(`Failed to find matching elements within ${n}ms`);throw r.name="Timed Out",r}}catch(e){return d(e)}},n)}catch(e){return d(e)}})};e("article").then(e=>{e.insertAdjacentHTML("beforeend",`
\n
\n

Dear reader,

\n ${DEAR_READER_BODY_HTML}\n \n \n \n
\n
`)})}();}catch(e) {console.error(e)} return vwo_$('head')[0] && vwo_$('head')[0].lastChild;})("head")}}, C_940895_48_1_2_3:{ fn:function(log,nonce=''){return (function(x) {var el,ctx=vwo_$(x); /*vwo_debug log("content",".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)"); vwo_debug*/(el=vwo_$(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)")).replaceWith2("
You'll gain real-world insights into how economics impacts your daily life with this easy-to-follow online course. This crash course is based on the acclaimed textbook Economy, Society, and Public Policy by CORE Econ, tailored to help you grasp key concepts without feeling overwhelmed.

Whether you're new to economics or just want to deepen your understanding, this course covers the basics and connects them to today’s pressing issues—from inequality to public policy decisions.

Each week, you'll receive a reading guide that distills core principles, offers actionable takeaways, and explains how they affect the current world. While the full ebook enriches the experience, the guides alone provide a comprehensive understanding of fundamental economic ideas.

You’ll find this course especially useful and unique because…
Are you ready to build a foundation in economics that empowers you to think critically about the world around you?

Get instant access today and keep an eye on your inbox for a confirmation email and your first lesson.
 
"),el=vwo_$(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)");})(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)")}}, R_940895_48_1_2_3:{ fn:function(log,nonce=''){return (function(x) { if(!vwo_$.fn.vwoRevertHtml){ return; }; var el,ctx=vwo_$(x); /*vwo_debug log("Revert","content",".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)"); vwo_debug*/(el=vwo_$(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)")).revertContentOp(),el=vwo_$(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)");})(".stylingblock-content-margin-cell > table:nth-of-type(1) > tbody:nth-of-type(1) > tr:nth-of-type(1) > td:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1) > div:nth-of-type(1)")}}, C_940895_48_1_2_4:{ fn:function(log,nonce=''){return (function(x) {})(".author,.img-wrapper,.img-wrapper img,.author-copy")}}, GL_940895_16_pre:{ fn:function(VWO_CURRENT_CAMPAIGN, VWO_CURRENT_VARIATION,nonce = ""){try{!function(){try{var e=function(e){return Object.keys(e).find((function(e){return e.startsWith("__reactInternalInstance$")||e.startsWith("__reactFiber$")}))},n=function(e,n){if(e&&n)return e[n]},t=function(e,n,t){var i=(i=e.nodeName)&&i.toLowerCase();n.stateNode=e,n.child=null,n.tag=e.nodeType===Node.ELEMENT_NODE?5:6,n.type&&(n.type=n.elementType="vwo-"+i),n.alternate&&(n.alternate.stateNode=e),e[t]=n},i=function(e,n){var t=Date.now();!function i(){var l=Object.keys(n).find((function(e){return e.startsWith("__reactProps$")}))||"",r=Date.now();if(l&&n[l])switch(e.name){case"href":n[l].href=e.value;break;case"onClick":n[l].onClick&&delete n[l].onClick;break;case"onChange":n[l].onChange&&n[l].onChange({target:n})}l||3e3.dear-reader{background-color:#f2f2f2;border-radius:3px;padding:2rem;margin:0 auto;width:100%;max-width:640px}.dear-reader h4{font-size:1.2em}.dear-reader h4,.dear-reader p{margin:0;margin-bottom:1rem}.dear-reader-cta{background-color:var(--color-mpr-button-blue);color:#fff;padding:18px 12px;border-radius:22px;font-weight:700}`); !vwo_$("head").find('#1738257835661').length && vwo_$('head').append(_vwo_sel);}catch(e) {console.error(e)} try{}catch(e) {console.error(e)} try{const DEAR_READER_HEADING_HTML="

Dear reader,

",DEAR_READER_BODY_HTML="\n

The trustworthy and factual news you find here at MPR News relies on the generosity of readers like you.\n

\n

Your donation ensures that our journalism remains available to all, connecting communities and facilitating better conversations for everyone.\n

\n

Will you make a gift today to help keep this trusted new source accessible to all?\n

\n",DEAR_READER_CTA_TEXT="Donate now »",DEAR_READER_CTA_LINK="https://support.mpr.org/secure/news-dear-reader?utm_term=dearreader_da";!function(){const e=async function(r,t=100,n=1e4){t=Number.isInteger(t)&&t>0&&t<=100?t:parseInt(t);let a="Array";if("NaN"==t)return console.error("Invalid refresh interval:",t);Array.isArray(r)||"string"!=typeof r||(a="string",r=[r]);let o=e=>document.querySelector(e),s=e=>e.every(e=>!!o(e));return new Promise((i,l)=>{let c=(e,r=null)=>(r&&clearInterval(r),i("Array"==a||e.length>1?e.map(e=>o(e)):o(e[0]))),u=a=>{console.error(`${a.name}: ${a.message}`);return l(a,()=>e(r,t=100,n=1e4))};try{if(s(r))return c(r);let e=setInterval(()=>{if(s(r))return c(r,e)},1e3/t);setTimeout(()=>{try{if(!s(r)){clearInterval(e);let r=Error(`Failed to find matching elements within ${n}ms`);throw r.name="Timed Out",r}}catch(e){return u(e)}},n)}catch(e){return u(e)}})};e("article").then(e=>{e.insertAdjacentHTML("beforeend",`
\n
\n

Dear reader,

\n ${DEAR_READER_BODY_HTML}\n \n \n \n
\n
`)})}();}catch(e) {console.error(e)} return vwo_$('head')[0] && vwo_$('head')[0].lastChild;})("head")}}, C_940895_63_1_2_0:{ fn:function(log,nonce=''){return (function(x) {var el,ctx=vwo_$(x); /*vwo_debug log("paste",".actions"); vwo_debug*/!(el=vwo_$(".actions")).parent().find('[vwo-op-1742589780926=""]').length&&el.after('


By submitting, you consent to receive information about MPR\'s programs and offerings. You may opt-out at any time clicking the unsubscribe link at the bottom of any email communication. View our Privacy Policy.

'),(el=vwo_$("#tfa_31-HTML > p:nth-of-type(1)")).vwoCss({display:"none !important"});})(".hintsBelow")}}, R_940895_63_1_2_0:{ fn:function(log,nonce=''){return (function(x) { if(!vwo_$.fn.vwoRevertHtml){ return; }; var el,ctx=vwo_$(x); /*vwo_debug log("Revert","remove","#tfa_31-HTML > p:nth-of-type(1)"); vwo_debug*/(el=vwo_$("#tfa_31-HTML > p:nth-of-type(1)")).vwoRevertCss(),(el=vwo_$('[vwo-element-id="1742589780114"]')).remove();})(".hintsBelow")}}, C_940895_62_1_2_0:{ fn:function(log,nonce=''){return (function(x) {var el,ctx=vwo_$(x); /*vwo_debug log("visibility","H1:tm('Support The Splendid Table Today')"); vwo_debug*/(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoCss({visibility:"hidden !important"}),(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoCss({display:"none !important"});})("H1:tm('Support The Splendid Table Today')")}}, R_940895_62_1_2_0:{ fn:function(log,nonce=''){return (function(x) { if(!vwo_$.fn.vwoRevertHtml){ return; }; var el,ctx=vwo_$(x); /*vwo_debug log("Revert","remove","H1:tm('Support The Splendid Table Today')"); vwo_debug*/(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoRevertCss(),(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoRevertCss();})("H1:tm('Support The Splendid Table Today')")}}, C_940895_62_1_2_1:{ fn:function(log,nonce=''){return (function(x) {var el,ctx=vwo_$(x); /*vwo_debug log("editElement","STRONG:tm('Success! You’re subscribed!')"); vwo_debug*/(el=vwo_$("STRONG:tm('Success! You’re subscribed!')")).vwoCss({"font-size":"22px !important"}),(el=vwo_$("STRONG:tm('Success! You’re subscribed!')")).vwoCss({"font-size":"24px !important"});})("STRONG:tm('Success! You’re subscribed!')")}}, R_940895_62_1_2_1:{ fn:function(log,nonce=''){return (function(x) { if(!vwo_$.fn.vwoRevertHtml){ return; }; var el,ctx=vwo_$(x); /*vwo_debug log("Revert","editElement","STRONG:tm('Success! You’re subscribed!')"); vwo_debug*/(el=vwo_$("STRONG:tm('Success! You’re subscribed!')")).vwoRevertCss(),(el=vwo_$("STRONG:tm('Success! You’re subscribed!')")).vwoRevertCss();})("STRONG:tm('Success! You’re subscribed!')")}}, C_940895_62_1_3_0:{ fn:function(log,nonce=''){return (function(x) {var el,ctx=vwo_$(x); /*vwo_debug log("visibility","H1:tm('Support The Splendid Table Today')"); vwo_debug*/(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoCss({visibility:"hidden !important"}),(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoCss({display:"none !important"});})("H1:tm('Support The Splendid Table Today')")}}, R_940895_62_1_3_0:{ fn:function(log,nonce=''){return (function(x) { if(!vwo_$.fn.vwoRevertHtml){ return; }; var el,ctx=vwo_$(x); /*vwo_debug log("Revert","remove","H1:tm('Support The Splendid Table Today')"); vwo_debug*/(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoRevertCss(),(el=vwo_$("H1:tm('Support The Splendid Table Today')")).vwoRevertCss();})("H1:tm('Support The Splendid Table Today')")}}},rules:[{"tags":[{"id":"metric","data":{"campaigns":[{"c":39,"g":7}],"type":"g"},"metricId":0}],"triggers":["12454062"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":48,"g":2}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":16,"g":2}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":54,"g":1}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":62,"g":5}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":63,"g":5}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":64,"g":5}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":61,"g":5}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":39,"g":4}],"type":"m"},"metricId":951905},{"id":"metric","data":{"campaigns":[{"c":55,"g":1}],"type":"m"},"metricId":951905}],"triggers":["8459768"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":48,"g":3}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":16,"g":3}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":54,"g":3}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":62,"g":1}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":63,"g":2}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":64,"g":2}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":61,"g":2}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":39,"g":2}],"type":"m"},"metricId":959033},{"id":"metric","data":{"campaigns":[{"c":55,"g":2}],"type":"m"},"metricId":959033}],"triggers":["8536415"]},{"tags":[{"priority":4,"id":"runCampaign","data":"campaigns.48"},{"priority":4,"id":"runCampaign","data":"campaigns.16"},{"priority":4,"id":"runCampaign","data":"campaigns.54"},{"priority":4,"id":"runCampaign","data":"campaigns.62"},{"priority":4,"id":"runCampaign","data":"campaigns.63"},{"priority":4,"id":"runCampaign","data":"campaigns.64"},{"priority":4,"id":"runCampaign","data":"campaigns.61"},{"priority":4,"id":"runCampaign","data":"campaigns.55"}],"triggers":["10589191"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":16,"g":5}],"type":"g"},"metricId":0}],"triggers":["12639747"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":39,"g":5}],"type":"g"},"metricId":0}],"triggers":["12454056"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":48,"g":4}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":16,"g":4}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":54,"g":2}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":62,"g":2}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":63,"g":3}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":64,"g":3}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":61,"g":3}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":39,"g":1}],"type":"m"},"metricId":959030},{"id":"metric","data":{"campaigns":[{"c":55,"g":3}],"type":"m"},"metricId":959030}],"triggers":["8536412"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":39,"g":6}],"type":"g"},"metricId":0}],"triggers":["12454059"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":48,"g":5}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":16,"g":1}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":54,"g":4}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":62,"g":3}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":63,"g":4}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":64,"g":4}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":61,"g":4}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":39,"g":3}],"type":"m"},"metricId":959027},{"id":"metric","data":{"campaigns":[{"c":55,"g":4}],"type":"m"},"metricId":959027}],"triggers":["8536409"]},{"tags":[{"priority":4,"id":"runCampaign","data":"campaigns.39"}],"triggers":["12454053"]},{"tags":[{"id":"metric","data":{"campaigns":[{"c":48,"g":1}],"type":"m"},"metricId":951908},{"id":"metric","data":{"campaigns":[{"c":16,"g":6}],"type":"m"},"metricId":951908},{"id":"metric","data":{"campaigns":[{"c":54,"g":5}],"type":"m"},"metricId":951908},{"id":"metric","data":{"campaigns":[{"c":62,"g":4}],"type":"m"},"metricId":951908},{"id":"metric","data":{"campaigns":[{"c":63,"g":1}],"type":"m"},"metricId":951908},{"id":"metric","data":{"campaigns":[{"c":64,"g":1}],"type":"m"},"metricId":951908},{"id":"metric","data":{"campaigns":[{"c":61,"g":1}],"type":"m"},"metricId":951908},{"id":"metric","data":{"campaigns":[{"c":55,"g":5}],"type":"m"},"metricId":951908}],"triggers":["8639604"]},{"tags":[{"priority":2,"id":"groupCampaigns"},{"id":"prePostMutation","priority":3}],"triggers":["8"]},{"tags":[{"priority":2,"id":"visibilityService"}],"triggers":["9"]},{"tags":[{"id":"runTestCampaign"}],"triggers":["2"]},{"tags":[{"id":"urlChange"}],"triggers":["75"]},{"tags":[{"id":"checkEnvironment"}],"triggers":["5"]}],pages:{"pc":[{"141375":{"inc":["o",["url","urlReg","(?i)^https?\\:\\\/\\\/(w{3}\\.)?mprnews\\.org\\\/story.*"],["url","urlReg","(?i)^https?\\:\\\/\\\/(w{3}\\.)?mprnews\\.org\\\/episode.*"]]}}],"ec":[{"1625289":{"inc":["o",["url","urlReg","(?i).*"]]}},{"2121531":{"inc":["o",["pg","eq","141375"]]}}]},pagesEval:{"pc":[141375],"ec":[1625289,2121531]},stags:{}}})(); ;;var commonWrapper=function(argument){if(!argument){argument={valuesGetter:function(){return{}},valuesSetter:function(){},verifyData:function(){return{}}}}const getVisitorUuid=function(){if(window._vwo_acc_id>=1037725){return window.VWO&&window.VWO.get("visitor.id")}else{return window.VWO._&&window.VWO._.cookies&&window.VWO._.cookies.get("_vwo_uuid")}};var pollInterval=100;var timeout=6e4;return function(){var accountIntegrationSettings={};var _interval=null;function waitForAnalyticsVariables(){try{accountIntegrationSettings=argument.valuesGetter();accountIntegrationSettings.visitorUuid=getVisitorUuid()}catch(error){accountIntegrationSettings=undefined}if(accountIntegrationSettings&&argument.verifyData(accountIntegrationSettings)){argument.valuesSetter(accountIntegrationSettings);return 1}return 0}var currentTime=0;_interval=setInterval((function(){currentTime=currentTime||performance.now();var result=waitForAnalyticsVariables();if(result||performance.now()-currentTime>=timeout){clearInterval(_interval)}}),pollInterval)}}; var pushBasedCommonWrapper=function(argument){var firedCamp={};if(!argument){argument={integrationName:"",getExperimentList:function(){},accountSettings:function(){},pushData:function(){}}}return function(){window.VWO=window.VWO||[];const getVisitorUuid=function(){if(window._vwo_acc_id>=1037725){return window.VWO&&window.VWO.get("visitor.id")}else{return window.VWO._&&window.VWO._.cookies&&window.VWO._.cookies.get("_vwo_uuid")}};var sendDebugLogsOld=function(expId,variationId,errorType,user_type,data){try{var errorPayload={f:argument["integrationName"]||"",a:window._vwo_acc_id,url:window.location.href,exp:expId,v:variationId,vwo_uuid:getVisitorUuid(),user_type:user_type};if(errorType=="initIntegrationCallback"){errorPayload["log_type"]="initIntegrationCallback";errorPayload["data"]=JSON.stringify(data||"")}else if(errorType=="timeout"){errorPayload["timeout"]=true}if(window.VWO._.customError){window.VWO._.customError({msg:"integration debug",url:window.location.href,lineno:"",colno:"",source:JSON.stringify(errorPayload)})}}catch(e){window.VWO._.customError&&window.VWO._.customError({msg:"integration debug failed",url:"",lineno:"",colno:"",source:""})}};var sendDebugLogs=function(expId,variationId,errorType,user_type){var eventName="vwo_debugLogs";var eventPayload={};try{eventPayload={intName:argument["integrationName"]||"",varId:variationId,expId:expId,type:errorType,vwo_uuid:getVisitorUuid(),user_type:user_type};if(window.VWO._.event){window.VWO._.event(eventName,eventPayload,{enableLogs:1})}}catch(e){eventPayload={msg:"integration event log failed",url:window.location.href};window.VWO._.event&&window.VWO._.event(eventName,eventPayload)}};const callbackFn=function(data){if(!data)return;var expId=data[1],variationId=data[2],repeated=data[0],singleCall=0,debug=0;var experimentList=argument.getExperimentList();var integrationName=argument["integrationName"]||"vwo";if(typeof argument.accountSettings==="function"){var accountSettings=argument.accountSettings();if(accountSettings){singleCall=accountSettings["singleCall"];debug=accountSettings["debug"]}}if(debug){sendDebugLogs(expId,variationId,"intCallTriggered",repeated)}if(singleCall&&(repeated==="vS"||repeated==="vSS")||firedCamp[expId]){return}window.expList=window.expList||{};var expList=window.expList[integrationName]=window.expList[integrationName]||[];if(expId&&variationId&&["VISUAL_AB","VISUAL","SPLIT_URL"].indexOf(_vwo_exp[expId].type)>-1){if(experimentList.indexOf(+expId)!==-1){firedCamp[expId]=variationId;var visitorUuid=getVisitorUuid();var pollInterval=100;var currentTime=0;var timeout=6e4;var user_type=_vwo_exp[expId].exec?"vwo-retry":"vwo-new";var interval=setInterval((function(){if(expList.indexOf(expId)!==-1){clearInterval(interval);return}currentTime=currentTime||performance.now();var toClearInterval=argument.pushData(expId,variationId,visitorUuid);if(debug&&toClearInterval){sendDebugLogsOld(expId,variationId,"",user_type);sendDebugLogs(expId,variationId,"intDataPushed",user_type)}var isTimeout=performance.now()-currentTime>=timeout;if(isTimeout&&debug){sendDebugLogsOld(expId,variationId,"timeout",user_type);sendDebugLogs(expId,variationId,"intTimeout",user_type)}if(toClearInterval||isTimeout){clearInterval(interval)}if(toClearInterval){window.expList[integrationName].push(expId)}}),pollInterval||100)}}};window.VWO.push(["onVariationApplied",callbackFn]);window.VWO.push(["onVariationShownSent",callbackFn])}}; var surveyDataCommonWrapper=function(argument){if(!argument){argument={getCampaignList:function(){return[]},surveyStatusChange:function(){},answerSubmitted:function(){}}}return function(){window.VWO=window.VWO||[];function getValuesFromAnswers(answers){var values=[];for(var i=0;i=timeout;if(toClearInterval||isTimeout){clearInterval(interval)}}),pollInterval)}}window.VWO.push(["onSurveyShown",function(data){commonSurveyCallback(data,argument.surveyStatusChange,"surveyShown")}]);window.VWO.push(["onSurveyCompleted",function(data){commonSurveyCallback(data,argument.surveyStatusChange,"surveyCompleted")}]);window.VWO.push(["onSurveyAnswerSubmitted",function(data){commonSurveyCallback(data,argument.answerSubmitted,"surveySubmitted")}])}}; (function(){var VWOOmniTemp={};window.VWOOmni=window.VWOOmni||{};for(var key in VWOOmniTemp)Object.prototype.hasOwnProperty.call(VWOOmniTemp,key)&&(window.VWOOmni[key]=VWOOmniTemp[key]);;})();(function(){window.VWO=window.VWO||[];var pollInterval=100;var _vis_data={};var intervalObj={};var analyticsTimerObj={};var experimentListObj={};window.VWO.push(["onVariationApplied",function(data){if(!data){return}var expId=data[1],variationId=data[2];if(expId&&variationId&&["VISUAL_AB","VISUAL","SPLIT_URL"].indexOf(window._vwo_exp[expId].type)>-1){}}])})();; ;var vD=VWO.data||{};VWO.data={content:{"fns":{"list":{"args":{"1":{}},"vn":1}}},as:"r5.visualwebsiteoptimizer.com",dacdnUrl:"https://dev.visualwebsiteoptimizer.com",accountJSInfo:{"pc":{"a":0,"t":0},"rp":30,"ts":1743697062,"noSS":false}};for(var k in vD){VWO.data[k]=vD[k]};;var gcpfb=function(a,loadFunc,status,err,success){function vwoErr() {_vwo_err({message:"Google_Cdn failing for " + a + ". Trying Fallback..",code:"cloudcdnerr",status:status});} if(a.indexOf("/cdn/")!==-1){loadFunc(a.replace("cdn/",""),err,success); vwoErr(); return true;} else if(a.indexOf("/dcdn/")!==-1&&a.indexOf("evad.js") !== -1){loadFunc(a.replace("dcdn/",""),err,success); vwoErr(); return true;}};window.VWO=window.VWO || [];window.VWO._= window.VWO._ || {};window.VWO._.gcpfb=gcpfb;;var d={cookie:document.cookie,URL:document.URL,referrer:document.referrer};var w={VWO:{_:{}},location:{href:window.location.href,search:window.location.search},_vwoCc:window._vwoCc};;window._vwo_cdn="https://dev.visualwebsiteoptimizer.com/cdn/";window._vwo_apm_debug_cdn="https://dev.visualwebsiteoptimizer.com/cdn/";window.VWO._.useCdn=true;window.vwo_eT="br";window._VWO=window._VWO||{};window._VWO.fSeg={};window._VWO.dcdnUrl="/dcdn/settings.js";window.VWO.sTs=1743694821;window._VWO._vis_nc_lib=window._vwo_cdn+"edrv/nc-e76f33e8accfa6859749db0f9a4d4230br.js";var loadWorker=function(url){_vwo_code.load(url, { dSC: true, onloadCb: function(xhr,a){window._vwo_wt_l=true;if(xhr.status===200 ||xhr.status===304){var code="var window="+JSON.stringify(w)+",document="+JSON.stringify(d)+";window.document=document;"+xhr.responseText;var blob=new Blob([code||"throw new Error('code not found!');"],{type:"application/javascript"}),url=URL.createObjectURL(blob);window.mainThread={webWorker:new Worker(url)};window.vwoChannelFW=new MessageChannel();window.vwoChannelToW=new MessageChannel();window.mainThread.webWorker.postMessage({vwoChannelToW:vwoChannelToW.port1,vwoChannelFW:vwoChannelFW.port2},[vwoChannelToW.port1, vwoChannelFW.port2]);if(!window._vwo_mt_f)return window._vwo_wt_f=true;_vwo_code.addScript({text:window._vwo_mt_f});delete window._vwo_mt_f}else{if(gcpfb(a,loadWorker,xhr.status)){return;}_vwo_code.finish("&e=loading_failure:"+a)}}, onerrorCb: function(a){if(gcpfb(a,loadWorker)){return;}window._vwo_wt_l=true;_vwo_code.finish("&e=loading_failure:"+a);}})};loadWorker("https://dev.visualwebsiteoptimizer.com/cdn/edrv/worker-1135852b6bc11a94eb64017a8d120ad8br.js");;var _vis_opt_file;var _vis_opt_lib;if(window.VWO._.allSettings.dataStore.previewExtraSettings!=undefined&&window.VWO._.allSettings.dataStore.previewExtraSettings.isSurveyPreviewMode){var surveyHash=window.VWO._.allSettings.dataStore.plugins.LIBINFO.SURVEY_DEBUG_EVENTS.HASH;var param1="evad.js?va=";var param2="&d=debugger_new";var param3="&sp=1&a=940895&sh="+surveyHash;_vis_opt_file=vwoCode.use_existing_jquery&&typeof vwoCode.use_existing_jquery()!=="undefined"?vwoCode.use_existing_jquery()?param1+"vanj"+param2:param1+"va_gq"+param2:param1+"edrv/va_gq-a062e7c4223b2b89f5cddb5055816677br.js"+param2;_vis_opt_file=_vis_opt_file+param3;_vis_opt_lib="https://dev.visualwebsiteoptimizer.com/dcdn/"+_vis_opt_file}else if(window.VWO._.allSettings.dataStore.mode!=undefined&&window.VWO._.allSettings.dataStore.mode=="PREVIEW"){ var path1 = 'edrv/pd_'; var path2 = window.VWO._.allSettings.dataStore.plugins.LIBINFO.EVAD.HASH + ".js"; ;_vis_opt_file=vwoCode.use_existing_jquery&&typeof vwoCode.use_existing_jquery()!=="undefined"?vwoCode.use_existing_jquery()?path1+"vanj"+path2:path1+"va_gq"+path2:path1+"edrv/va_gq-a062e7c4223b2b89f5cddb5055816677br.js"+path2;_vis_opt_lib="https://dev.visualwebsiteoptimizer.com/cdn/"+_vis_opt_file}else{_vis_opt_file=vwoCode.use_existing_jquery&&typeof vwoCode.use_existing_jquery()!=="undefined"?vwoCode.use_existing_jquery()?"edrv/vanj-55389bda300ad24b514d62f335aa126abr.js":"edrv/va_gq-a062e7c4223b2b89f5cddb5055816677br.js":"edrv/va_gq-a062e7c4223b2b89f5cddb5055816677br.js"}window._vwo_library_timer=setTimeout((function(){vwoCode.removeLoaderAndOverlay&&vwoCode.removeLoaderAndOverlay();vwoCode.finish()}),vwoCode.library_tolerance&&typeof vwoCode.library_tolerance()!=="undefined"?vwoCode.library_tolerance():2500),_vis_opt_lib=typeof _vis_opt_lib=="undefined"?window._vwo_cdn+_vis_opt_file:_vis_opt_lib;var loadLib=function(url){_vwo_code.load(url, { dSC: true, onloadCb:function(xhr,a){window._vwo_mt_l=true;if(xhr.status===200 || xhr.status===304){if(!window._vwo_wt_f)return window._vwo_mt_f=xhr.responseText;_vwo_code.addScript({text:xhr.responseText});delete window._vwo_wt_f;}else{if(gcpfb(a,loadLib,xhr.status)){return;}_vwo_code.finish("&e=loading_failure:"+a);}}, onerrorCb: function(a){if(gcpfb(a,loadLib)){return;}window._vwo_mt_l=true;_vwo_code.finish("&e=loading_failure:"+a);}})};loadLib(_vis_opt_lib);VWO.load_co=function(u,opts){return window._vwo_code.load(u,opts);};;;}}catch(e){_vwo_code.finish();_vwo_code.removeLoaderAndOverlay&&_vwo_code.removeLoaderAndOverlay();_vwo_err(e);window.VWO.caE=1}})();

The curl in curling is a physics mystery

Pyeongchang Olympics Curling Rock Baby
Joe Polo, of the United States, launches the stone during practice at the 2018 Winter Olympics in Gangneung, South Korea.
Aaron Favila | AP

If you plan to watch the Olympic curling gold match between Sweden and USA, you might wonder "why does that stone curl on the ice?"

Well, scientists ask the same question, though they have some theories. NOVA on PBS explored the science behind the sport.

"There is no single theory that explains the behavior of what we observe," Don Wade of the Broomstones Curling Club in Wayland Massachusetts told NOVA.

The game is based on the ability to "curl" the stone. By rotating the stone during the release, the stone can curl away from the line of delivery, allowing players to strategize on throwing stones to bump their opponents stones out of the way, or curl a stone behind another stone on the playing field, called the "sheet."

But the stone doesn't curl the way we typically expect it to.

As the video shows, if you spin an object counterclockwise and slide it along a surface, it will curl to the right. Spin and slide with a clockwise rotation, it will curl to the left. There's more friction at the front of the object than the back, because as it moves, it tilts slightly forward. That results in a curl from the opposite direction of the rotation.

Curling stones, however, do the opposite.

"On ice, it curls in the same direction as the rotation," Wade told NOVA.

So with a clockwise rotation the stone curls to the right and a counterclockwise rotation results in a curl to the left.

Why does it do this?

The top three theories that physicists have pondered are:

• Because the ice isn't flat but 'pebbled' with bumps, the pebbling may be part of the reason that stones curl in the same direction of the rotation. It's possible the stone is catching on the pebbles and turns with the stone's rotation.

• Remember how normal items build up friction in front of the item? With a curling stone, the pressure on the front of the stone may warm the ice and make a thin film of water that decreases the friction on the front end. That might cause more friction on the back half of the stone compared to the front, pushing the stone with its rotation.

• The final theory involves the fact that only a thin ring of the stone touches the ice at any time. That thin ring will scratch the ice and create tiny valleys running in the direction of the curl. The valleys then guide the other bumps on the back half of the stone, and curl the stone.

Volume Button
Volume
Now Listening To Livestream
Headshot of 1A host Jenn White
On Air
1A with Jenn White