{"id":146175,"date":"2024-09-30T12:51:00","date_gmt":"2024-09-30T12:51:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=146175"},"modified":"2024-09-30T12:51:05","modified_gmt":"2024-09-30T12:51:05","slug":"an-electrical-motor-provides-0-50w-of-mechanical-power","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/30\/an-electrical-motor-provides-0-50w-of-mechanical-power\/","title":{"rendered":"An electrical motor provides 0.50W of mechanical power"},"content":{"rendered":"\n<p>An electrical motor provides 0.50W of mechanical power. How much time will it take motor to lift a 0.1 kg mass at constant speed form to a shelf 2.0 m above the floor?<br>a. 0.25s<br>b. 0.40s<br>c. 1.0s<br>d. 4.0s<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To solve the problem of how long it takes for an electric motor to lift a 0.1 kg mass to a height of 2.0 m at a constant speed with a power output of 0.50 W, we can use the relationship between power, work, and time.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the Work Done<\/h3>\n\n\n\n<p>The work done (W) against gravity to lift the mass can be calculated using the formula:<\/p>\n\n\n\n<p>[<br>W = m \\cdot g \\cdot h<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( m ) is the mass (0.1 kg),<\/li>\n\n\n\n<li>( g ) is the acceleration due to gravity (approximately 9.81 m\/s\u00b2),<\/li>\n\n\n\n<li>( h ) is the height (2.0 m).<\/li>\n<\/ul>\n\n\n\n<p>Substituting the values:<\/p>\n\n\n\n<p>[<br>W = 0.1 \\, \\text{kg} \\cdot 9.81 \\, \\text{m\/s}^2 \\cdot 2.0 \\, \\text{m} = 1.962 \\, \\text{J}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Relate Power to Work Done<\/h3>\n\n\n\n<p>Power (P) is defined as the rate at which work is done, given by the formula:<\/p>\n\n\n\n<p>[<br>P = \\frac{W}{t}<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( P ) is the power (0.50 W),<\/li>\n\n\n\n<li>( W ) is the work done (1.962 J),<\/li>\n\n\n\n<li>( t ) is the time in seconds.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Rearrange the Equation to Solve for Time<\/h3>\n\n\n\n<p>Rearranging the power formula gives us:<\/p>\n\n\n\n<p>[<br>t = \\frac{W}{P}<br>]<\/p>\n\n\n\n<p>Substituting in our values:<\/p>\n\n\n\n<p>[<br>t = \\frac{1.962 \\, \\text{J}}{0.50 \\, \\text{W}} = 3.924 \\, \\text{s}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>This means it will take approximately 3.924 seconds to lift the 0.1 kg mass to a height of 2.0 m at constant speed with a power output of 0.50 W.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<p>Given the options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a. 0.25s<\/li>\n\n\n\n<li>b. 0.40s<\/li>\n\n\n\n<li>c. 1.0s<\/li>\n\n\n\n<li>d. 4.0s<\/li>\n<\/ul>\n\n\n\n<p>The closest correct answer is <strong>d. 4.0s<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An electrical motor provides 0.50W of mechanical power. How much time will it take motor to lift a 0.1 kg mass at constant speed form to a shelf 2.0 m above the floor?a. 0.25sb. 0.40sc. 1.0sd. 4.0s The Correct Answer and Explanation is : To solve the problem of how long it takes for an [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-146175","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146175","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=146175"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146175\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146175"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146175"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}