{"id":6685,"date":"2024-04-15T02:32:36","date_gmt":"2024-04-15T02:32:36","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6685"},"modified":"2024-04-15T02:32:36","modified_gmt":"2024-04-15T02:32:36","slug":"a-50-kg-boy-climbs-up-a-8-m-rope-in-gymnasium-in-10-sec-the-average-power-developed-by-the-boy-is-approximately-a-400-watts-b-500-watts-c-4000-watts-d-none-of-these","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-50-kg-boy-climbs-up-a-8-m-rope-in-gymnasium-in-10-sec-the-average-power-developed-by-the-boy-is-approximately-a-400-watts-b-500-watts-c-4000-watts-d-none-of-these\/","title":{"rendered":"A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately A. 400 watts B. 500 watts C. 4000 watts D. None of these"},"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_6a9967043f280\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    400 watts                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    500 watts                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    4000 watts                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    None of these                <\/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 A. 400 watts.<\/p>\n<p>The power developed by the boy is given by:<\/p>\n<p>$P = \\frac{W}{t}$<\/p>\n<p>where $W$ is the work done and $t$ is the time taken.<\/p>\n<p>The work done in climbing up the rope is given by:<\/p>\n<p>$W = mgh$<\/p>\n<p>where $m$ is the mass of the boy, $g$ is the acceleration due to gravity, and $h$ is the height of the rope.<\/p>\n<p>The height of the rope is given by:<\/p>\n<p>$h = 8 \\text{ m}$<\/p>\n<p>The mass of the boy is given <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           <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>      <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> by:<\/p>\n<p>$m = 50 \\text{ kg}$<\/p>\n<p>The acceleration due to gravity is given by:<\/p>\n<p>$g = 9.8 \\text{ m\/s}^2$<\/p>\n<p>Therefore, the work done in climbing up the rope is:<\/p>\n<p>$W = (50 \\text{ kg})(9.8 \\text{ m\/s}^2)(8 \\text{ m}) = 3920 \\text{ J}$<\/p>\n<p>The time taken to climb up the rope is given by:<\/p>\n<p>$t = 10 \\text{ s}$<\/p>\n<p>Therefore, the average power developed by the boy is:<\/p>\n<p>$P = \\frac{3920 \\text{ J}}{10 \\text{ s}} = 392 \\text{ W}$<\/p>\n<p>Since the options are given in multiples of 100, we can round 392 to 400. Therefore, the correct answer is A. 400 watts.<\/p>\n<p>Option B is incorrect because it is twice the actual power. Option C is incorrect because it is 10 times the actual power. Option D is incorrect because it is not a possible value of power.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately A. 400 watts B. 500 watts C. 4000 watts D. 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