{"id":21729,"date":"2024-04-15T06:10:16","date_gmt":"2024-04-15T06:10:16","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=21729"},"modified":"2024-04-15T06:10:16","modified_gmt":"2024-04-15T06:10:16","slug":"if-two-bodies-of-different-masses-initially-at-rest-are-acted-upon-by-the-same-force-for-the-same-time-then-the-both-bodies-acquire-the-same-a-velocity-b-momentum-c-acceleration-d-kinetic-ener","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-two-bodies-of-different-masses-initially-at-rest-are-acted-upon-by-the-same-force-for-the-same-time-then-the-both-bodies-acquire-the-same-a-velocity-b-momentum-c-acceleration-d-kinetic-ener\/","title":{"rendered":"If two bodies of different masses, initially at rest, are acted upon by the same force for the same time, then the both bodies acquire the same: A. Velocity B. Momentum C. Acceleration D. Kinetic energy"},"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_6a9890ccdbba8\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    Velocity                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    Momentum                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    Acceleration                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    Kinetic energy                <\/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: <strong>C. Acceleration<\/strong><\/p>\n<p>The acceleration of an object is the rate at which its velocity changes. The greater the mass of an object, the more force is required to accelerate it. However, if two objects have different masses but are acted upon by the same force for the same time, they will both acquire the same acceleration. This is because the acceleration of an object is independent of its mass.<\/p>\n<p>To understand this, let&#8217;s consider the following example. Suppose we have two objects, A and B, with masses $m_A$ and $m_B$, respectively. If <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> these objects are acted upon by the same force $F$ for the same time $t$, then the change in their velocities will be the same. This can be expressed mathematically as follows:<\/p>\n<p>$$\\Delta v_A = \\Delta v_B$$<\/p>\n<p>The change in velocity is equal to the acceleration times the time interval, so we can rewrite the above equation as follows:<\/p>\n<p>$$a_A t = a_B t$$<\/p>\n<p>Since the time interval is the same for both objects, we can cancel it out to get the following equation:<\/p>\n<p>$$a_A = a_B$$<\/p>\n<p>Therefore, the acceleration of the two objects is the same.<\/p>\n<p>It is important to note that this <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> only applies if the two objects are acted upon by the same force for the same time. If the force or the time interval are different, then the acceleration of the two objects will also be different.<\/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":[25],"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>If two bodies of different masses, initially at rest, are acted upon by the same force for the same time, then the both bodies acquire the same: A. Velocity B. Momentum C. Acceleration D. 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