{"id":6803,"date":"2024-04-15T02:34:24","date_gmt":"2024-04-15T02:34:24","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6803"},"modified":"2024-04-15T02:34:24","modified_gmt":"2024-04-15T02:34:24","slug":"newtons-law-of-collision-of-elastic-bodies-states-that-when-two-moving-bodies-collide-each-other-their-velocity-of-separation-a-is-directly-proportional-to-their-velocity-of-approach-b-is-inverse","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/newtons-law-of-collision-of-elastic-bodies-states-that-when-two-moving-bodies-collide-each-other-their-velocity-of-separation-a-is-directly-proportional-to-their-velocity-of-approach-b-is-inverse\/","title":{"rendered":"Newton&#8217;s law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation A. Is directly proportional to their velocity of approach B. Is inversely proportional to their velocity of approach C. Bears a constant ratio to their velocity of approach D. Is equal to the sum of their velocities of approach"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9fa8dc7610a\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    Is directly proportional to their velocity of approach                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    Is inversely proportional to their velocity of approach                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    Bears a constant ratio to their velocity of approach                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    Is equal to the sum of their velocities of approach                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is: C. Bears a constant ratio to their velocity of approach.<\/p>\n<p>Newton&#8217;s law of collision of elastic bodies states that when two moving bodies collide each other, the velocities of separation are in the same ratio as the velocities of approach, and the relative speed of separation is equal to the relative speed of approach before the collision.<\/p>\n<p>In other words, if two objects are moving towards each other with velocities $v_1$ and <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> $v_2$, and they collide elastically, then after the collision they will be moving away from each other with velocities $v_1&#8217;$ and $v_2&#8217;$, such that:<\/p>\n<p>$$\\frac{v_1&#8242;}{v_2&#8242;} = \\frac{v_1}{v_2}$$<\/p>\n<p>and<\/p>\n<p>$$v_1&#8242; + v_2&#8242; = v_1 + v_2$$<\/p>\n<p>This law can be derived from the conservation of momentum and the conservation of energy.<\/p>\n<p>Option A is incorrect because the velocities of separation are not directly proportional to the velocities of approach.<\/p>\n<p>Option B is incorrect because the velocities of separation are <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> not inversely proportional to the velocities of approach.<\/p>\n<p>Option D is incorrect because the velocities of separation are not equal to the sum of the velocities of approach.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[645],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Newton&#039;s law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation A. Is directly proportional to their velocity of approach B. Is inversely proportional to their velocity of approach C. Bears a constant ratio to their velocity of approach D. Is equal to the sum of their velocities of approach<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/newtons-law-of-collision-of-elastic-bodies-states-that-when-two-moving-bodies-collide-each-other-their-velocity-of-separation-a-is-directly-proportional-to-their-velocity-of-approach-b-is-inverse\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Newton&#039;s law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation A. Is directly proportional to their velocity of approach B. 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