{"id":6679,"date":"2024-04-15T02:32:31","date_gmt":"2024-04-15T02:32:31","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6679"},"modified":"2024-04-15T02:32:31","modified_gmt":"2024-04-15T02:32:31","slug":"a-49-kg-lady-stands-on-a-spring-scale-in-an-elevator-during-the-first-5-sec-starting-from-rest-the-scale-reads-69-kg-the-velocity-of-the-elevator-will-be-a-10-m-sec-b-15-m-sec-c-20-m-sec-d-25","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-49-kg-lady-stands-on-a-spring-scale-in-an-elevator-during-the-first-5-sec-starting-from-rest-the-scale-reads-69-kg-the-velocity-of-the-elevator-will-be-a-10-m-sec-b-15-m-sec-c-20-m-sec-d-25\/","title":{"rendered":"A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be A. 10 m\/sec B. 15 m\/sec C. 20 m\/sec D. 25 m\/sec"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;10 m\/sec&#8221; option2=&#8221;15 m\/sec&#8221; option3=&#8221;20 m\/sec&#8221; option4=&#8221;25 m\/sec&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 15 m\/sec}}$.<\/p>\n<p>The scale reads 69 kg, which means that the force of the scale on the lady is 69 N. This force is equal to the lady&#8217;s weight plus the force of the elevator&#8217;s acceleration on her. The lady&#8217;s weight is 49 N, so the force of the elevator&#8217;s acceleration on her is 20 N. This means that the elevator is accelerating at 20 N \/ 49 kg = 0.41 m\/s^2. After 5 seconds, the velocity of the elevator is 0.41 m\/s^2 * 5 s = 2.05 m\/s.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: 10 m\/sec. This is the velocity of the elevator after 5 seconds if it were accelerating at a constant rate of 10 m\/s^2. However, the scale reads 69 kg, which means that the elevator is accelerating at a rate of 0.41 m\/s^2.<\/li>\n<li>Option B: 15 m\/sec. This is the correct answer.<\/li>\n<li>Option C: 20 m\/sec. This is the velocity of the elevator after 5 seconds if it were accelerating at a constant rate of 20 m\/s^2. However, the scale reads 69 kg, which means that the elevator is accelerating at a rate of 0.41 m\/s^2.<\/li>\n<li>Option D: 25 m\/sec. This is the velocity of the elevator after 5 seconds if it were accelerating at a constant rate of 25 m\/s^2. However, the scale reads 69 kg, which means that the elevator is accelerating at a rate of 0.41 m\/s^2.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;10 m\/sec&#8221; option2=&#8221;15 m\/sec&#8221; option3=&#8221;20 m\/sec&#8221; option4=&#8221;25 m\/sec&#8221; correct=&#8221;option1&#8243;]<\/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":[],"class_list":["post-6679","post","type-post","status-publish","format-standard","hentry","category-applied-mechanics-and-graphic-statics","no-featured-image-padding"],"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 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. 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During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be A. 10 m\/sec B. 15 m\/sec C. 20 m\/sec D. 25 m\/sec","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-49-kg-lady-stands-on-a-spring-scale-in-an-elevator-during-the-first-5-sec-starting-from-rest-the-scale-reads-69-kg-the-velocity-of-the-elevator-will-be-a-10-m-sec-b-15-m-sec-c-20-m-sec-d-25\/","og_locale":"en_US","og_type":"article","og_title":"A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. 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