{"id":21736,"date":"2024-04-15T06:10:22","date_gmt":"2024-04-15T06:10:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=21736"},"modified":"2024-04-15T06:10:22","modified_gmt":"2024-04-15T06:10:22","slug":"find-the-maximum-velocity-for-the-overturn-of-a-car-moving-on-a-circular-track-of-radius-100-m-the-co-efficient-of-friction-between-the-road-and-tyre-is-0-2-a-0-14-m-s-b-140-m-s-c-1-4-km-s-d-14-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/find-the-maximum-velocity-for-the-overturn-of-a-car-moving-on-a-circular-track-of-radius-100-m-the-co-efficient-of-friction-between-the-road-and-tyre-is-0-2-a-0-14-m-s-b-140-m-s-c-1-4-km-s-d-14-m\/","title":{"rendered":"Find the maximum velocity for the overturn of a car moving on a circular track of radius 100 m. The co-efficient of friction between the road and tyre is 0.2 A. 0.14 m\/s B. 140 m\/s C. 1.4 km\/s D. 14 m\/s"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.14 m\/s&#8221; option2=&#8221;140 m\/s&#8221; option3=&#8221;1.4 km\/s&#8221; option4=&#8221;14 m\/s&#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is D. 14 m\/s.<\/p>\n<p>The maximum velocity for the overturn of a car moving on a circular track of radius 100 m is given by the following formula:<\/p>\n<p>$$v_c = \\sqrt{\\frac{rg}{\\mu}}$$<\/p>\n<p>where $r$ is the radius of the track, $g$ is the acceleration due to gravity, and $\\mu$ is the coefficient of friction between the road and tyre.<\/p>\n<p>In this case, $r = 100$ m, $g = 9.8 \\frac{m}{s^2}$, and $\\mu = 0.2$. Substituting these values into the formula, we get:<\/p>\n<p>$$v_c = \\sqrt{\\frac{(100 \\text{ m})(9.8 \\frac{m}{s^2})}{0.2}} = 14 \\text{ m\/s}$$<\/p>\n<p>Option A is incorrect because it is too small. Option B is incorrect because it is too large. Option C is incorrect because it is a unit of speed, not a velocity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.14 m\/s&#8221; option2=&#8221;140 m\/s&#8221; option3=&#8221;1.4 km\/s&#8221; option4=&#8221;14 m\/s&#8221; correct=&#8221;option4&#8243;]<\/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":[],"class_list":["post-21736","post","type-post","status-publish","format-standard","hentry","category-physics","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>Find the maximum velocity for the overturn of a car moving on a circular track of radius 100 m. 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The co-efficient of friction between the road and tyre is 0.2 A. 0.14 m\/s B. 140 m\/s C. 1.4 km\/s D. 14 m\/s","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\/find-the-maximum-velocity-for-the-overturn-of-a-car-moving-on-a-circular-track-of-radius-100-m-the-co-efficient-of-friction-between-the-road-and-tyre-is-0-2-a-0-14-m-s-b-140-m-s-c-1-4-km-s-d-14-m\/","og_locale":"en_US","og_type":"article","og_title":"Find the maximum velocity for the overturn of a car moving on a circular track of radius 100 m. 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