{"id":6764,"date":"2024-04-15T02:33:49","date_gmt":"2024-04-15T02:33:49","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6764"},"modified":"2024-04-15T02:33:49","modified_gmt":"2024-04-15T02:33:49","slug":"a-ball-of-mass-1-kg-moving-with-a-velocity-of-2-m-sec-collides-a-stationary-ball-of-mass-2-kg-and-comes-to-rest-after-impact-the-velocity-of-the-second-ball-after-impact-will-be-a-zero-b-0-5-m-sec","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-ball-of-mass-1-kg-moving-with-a-velocity-of-2-m-sec-collides-a-stationary-ball-of-mass-2-kg-and-comes-to-rest-after-impact-the-velocity-of-the-second-ball-after-impact-will-be-a-zero-b-0-5-m-sec\/","title":{"rendered":"A ball of mass 1 kg moving with a velocity of 2 m\/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be A. Zero B. 0.5 m\/sec C. 1.0 m\/sec D. 2.0 m\/sec"},"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_6a9db64ad4975\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    Zero                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    0.5 m\/sec                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    1.0 m\/sec                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    2.0 m\/sec                <\/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 $\\boxed{\\text{B}}$.<\/p>\n<p>The total momentum of the system is conserved, so the momentum of the first ball before the collision must equal the momentum of the second ball after the collision. The momentum of the first ball is $p_1 = mv_1 = 1 \\text{ kg} \\times 2 \\text{ m\/s} = 2 \\text{ kg m\/s}$. The momentum of the second ball after the collision is $p_2 = mv_2$. We know that $v_2$ is positive, so the second ball <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> must be moving to the right after the collision.<\/p>\n<p>To conserve momentum, we must have $p_1 = p_2$. Solving for $v_2$, we get $v_2 = \\frac{p_1}{m_2} = \\frac{2 \\text{ kg m\/s}}{2 \\text{ kg}} = 1 \\text{ m\/s}$.<\/p>\n<p>Option A is incorrect because the second ball cannot be moving to the left after the collision. Option C is incorrect because the second ball cannot be moving at a speed of 2 m\/s after <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> the collision. Option D is incorrect because the second ball cannot be moving at a speed of 0 m\/s after the collision.<\/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>A ball of mass 1 kg moving with a velocity of 2 m\/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be A. 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