{"id":44430,"date":"2025-06-30T15:43:42","date_gmt":"2025-06-30T15:43:42","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=44430"},"modified":"2025-06-30T15:43:43","modified_gmt":"2025-06-30T15:43:43","slug":"a-rugby-player-with-a-mass-of-60-0-kg-is-running-to-the-right-at-a-speed-of-5-50-m-s-toward-another-player-of-mass-94-0-kg-who-is-running-in-the-opposite-direction-at-a-speed-of-5-20-m-s","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-rugby-player-with-a-mass-of-60-0-kg-is-running-to-the-right-at-a-speed-of-5-50-m-s-toward-another-player-of-mass-94-0-kg-who-is-running-in-the-opposite-direction-at-a-speed-of-5-20-m-s\/","title":{"rendered":"A rugby player with a mass of 60.0 kg is running to the right at a speed of 5.50 m\/s toward another player of mass 94.0 kg, who is running in the opposite direction at a speed of 5.20 m\/s"},"content":{"rendered":"\n<p>A rugby player with a mass of 60.0 kg is running to the right at a speed of 5.50 m\/s toward another player of mass 94.0 kg, who is running in the opposite direction at a speed of 5.20 m\/s. What is the total momentum of the two players? (Assume the positive direction is to the right. Indicate the direction with the sign of your answer.)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To calculate the total momentum of the two rugby players, we need to use the formula for momentum, which is: p=m\u00d7vp = m \\times v<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>pp is momentum,<\/li>\n\n\n\n<li>mm is mass,<\/li>\n\n\n\n<li>vv is velocity.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the momentum of the first player<\/h3>\n\n\n\n<p>The first player has a mass of 60.0 kg and is moving to the right with a speed of 5.50 m\/s. Since the direction to the right is considered positive, we have: p1=(60.0\u2009kg)\u00d7(5.50\u2009m\/s)=330.0\u2009kg\u22c5m\/sp_1 = (60.0 \\, \\text{kg}) \\times (5.50 \\, \\text{m\/s}) = 330.0 \\, \\text{kg} \\cdot \\text{m\/s}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the momentum of the second player<\/h3>\n\n\n\n<p>The second player has a mass of 94.0 kg and is moving in the opposite direction (to the left) at 5.20 m\/s. Since this player is moving in the opposite direction, we assign a negative sign to the velocity. Therefore: p2=(94.0\u2009kg)\u00d7(\u22125.20\u2009m\/s)=\u2212488.8\u2009kg\u22c5m\/sp_2 = (94.0 \\, \\text{kg}) \\times (-5.20 \\, \\text{m\/s}) = -488.8 \\, \\text{kg} \\cdot \\text{m\/s}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Find the total momentum<\/h3>\n\n\n\n<p>The total momentum is the sum of the momenta of both players: ptotal=p1+p2=330.0\u2009kg\u22c5m\/s+(\u2212488.8\u2009kg\u22c5m\/s)p_{\\text{total}} = p_1 + p_2 = 330.0 \\, \\text{kg} \\cdot \\text{m\/s} + (-488.8 \\, \\text{kg} \\cdot \\text{m\/s}) ptotal=\u2212158.8\u2009kg\u22c5m\/sp_{\\text{total}} = -158.8 \\, \\text{kg} \\cdot \\text{m\/s}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The total momentum of the two players is <strong>-158.8 kg\u00b7m\/s<\/strong>, which means that the total momentum is directed to the left (negative direction). This result occurs because the second player (with a greater mass) is moving faster in the opposite direction, so their momentum &#8220;overpowers&#8221; that of the first player. This negative value indicates that the overall motion of the system is towards the left.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A rugby player with a mass of 60.0 kg is running to the right at a speed of 5.50 m\/s toward another player of mass 94.0 kg, who is running in the opposite direction at a speed of 5.20 m\/s. What is the total momentum of the two players? (Assume the positive direction is to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-44430","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44430","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=44430"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44430\/revisions"}],"predecessor-version":[{"id":44431,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44430\/revisions\/44431"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=44430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=44430"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=44430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}