{"id":28412,"date":"2025-06-20T12:17:27","date_gmt":"2025-06-20T12:17:27","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=28412"},"modified":"2025-06-20T12:17:29","modified_gmt":"2025-06-20T12:17:29","slug":"in-a-lab-a-block-weighing-80-n-is-attached-to-a-spring-scale-and-both-are-pulled-to-the-right-on-a-horizontal-surface-as-shown-above","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/in-a-lab-a-block-weighing-80-n-is-attached-to-a-spring-scale-and-both-are-pulled-to-the-right-on-a-horizontal-surface-as-shown-above\/","title":{"rendered":"In a lab, a block weighing 80 N is attached to a spring scale, and both are pulled to the right on a horizontal surface, as shown above."},"content":{"rendered":"\n<p> In a lab, a block weighing 80 N is attached to a spring scale, and both are pulled to the right on a horizontal surface, as shown above. Friction between the block and the surface is negligible. What is the acceleration of the block when the scale reads 32 N? A 2.0 m\/s<br>B 2.5 m\/s<br>C 4.0 m\/s<br>D 6.0 m\/s<br>E 8.0 m\/s<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the <strong>acceleration<\/strong> of the block, we can use <strong>Newton&#8217;s Second Law of Motion<\/strong>:F=maF = maF=ma<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>FFF is the net force acting on the object (in newtons)<\/li>\n\n\n\n<li>mmm is the mass of the object (in kilograms)<\/li>\n\n\n\n<li>aaa is the acceleration (in meters per second squared)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Find the mass of the block<\/strong><\/h3>\n\n\n\n<p>We are given the <strong>weight<\/strong> of the block as <strong>80 N<\/strong>.<br>Weight is related to mass by the equation:W=mgW = mgW=mg<\/p>\n\n\n\n<p>Where g=9.8\u2009m\/s2g = 9.8 \\, \\text{m\/s}^2g=9.8m\/s2 is the acceleration due to gravity.<\/p>\n\n\n\n<p>So we can find the mass mmm:m=Wg=809.8\u22488.16\u2009kgm = \\frac{W}{g} = \\frac{80}{9.8} \\approx 8.16 \\, \\text{kg}m=gW\u200b=9.880\u200b\u22488.16kg<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Use Newton\u2019s Second Law<\/strong><\/h3>\n\n\n\n<p>The spring scale reads <strong>32 N<\/strong>, which is the <strong>net force<\/strong> acting on the block since friction is negligible.<\/p>\n\n\n\n<p>Now apply:F=ma\u21d2a=Fm=328.16\u22483.92\u2009m\/s2F = ma \\Rightarrow a = \\frac{F}{m} = \\frac{32}{8.16} \\approx 3.92 \\, \\text{m\/s}^2F=ma\u21d2a=mF\u200b=8.1632\u200b\u22483.92m\/s2<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Choose the closest answer<\/strong><\/h3>\n\n\n\n<p>The closest choice to <strong>3.92 m\/s\u00b2<\/strong> is:<\/p>\n\n\n\n<p><strong>C. 4.0 m\/s\u00b2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final Answer: C. 4.0 m\/s\u00b2<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation Summary<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The block\u2019s weight gives us the mass using m=Wgm = \\frac{W}{g}m=gW\u200b<\/li>\n\n\n\n<li>The spring scale reading represents the net force<\/li>\n\n\n\n<li>Using Newton\u2019s Second Law, a=Fma = \\frac{F}{m}a=mF\u200b, we find the acceleration<\/li>\n\n\n\n<li>The calculation gives about <strong>3.92 m\/s\u00b2<\/strong>, which rounds to <strong>4.0 m\/s\u00b2<\/strong><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-213.jpeg\" alt=\"\" class=\"wp-image-28419\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-213.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-213-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-213-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In a lab, a block weighing 80 N is attached to a spring scale, and both are pulled to the right on a horizontal surface, as shown above. Friction between the block and the surface is negligible. What is the acceleration of the block when the scale reads 32 N? A 2.0 m\/sB 2.5 m\/sC [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-28412","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28412","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=28412"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28412\/revisions"}],"predecessor-version":[{"id":28420,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28412\/revisions\/28420"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28412"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28412"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}