{"id":7294,"date":"2024-12-28T21:35:12","date_gmt":"2024-12-28T21:35:12","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=7294"},"modified":"2024-12-28T21:35:12","modified_gmt":"2024-12-28T21:35:12","slug":"solved-examples","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/12\/28\/solved-examples\/","title":{"rendered":"Solved Examples"},"content":{"rendered":"\n<p><strong>Q.1) How much net force is required to accelerate a 1000 kg car at 4.00 m\/s<sup>2<\/sup>?<\/strong><\/p>\n\n\n\n<p><em>Solution:<\/em><\/p>\n\n\n\n<p>Given,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a = 4.00 m\/s<sup>2<\/sup><\/li>\n\n\n\n<li>m = 1000\u00a0kg<\/li>\n<\/ul>\n\n\n\n<p>Therefore,&nbsp;<\/p>\n\n\n\n<p>F = ma<\/p>\n\n\n\n<p>= 1000 \u00d7 4<\/p>\n\n\n\n<p>= 4000 N<\/p>\n\n\n\n<p><strong>Q.2)&nbsp;Aimee has a toy car mass of 2&nbsp;kg. How much force should she apply to the car so that it should travel with the acceleration of 8&nbsp;m\/s<sup>2<\/sup>?<\/strong><\/p>\n\n\n\n<p><em>Solution:<\/em><\/p>\n\n\n\n<p>Known,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>m (Mass of toy car) = 2 Kg,<\/li>\n\n\n\n<li>a (Acceleration) = 8m\/s2,<\/li>\n<\/ul>\n\n\n\n<p>F is Force to be applied by Aimmee = m&nbsp;\u00d7&nbsp;a<\/p>\n\n\n\n<p>= 2 Kg&nbsp;\u00d7&nbsp;8 m\/s2&nbsp;= 16 Kgm\/s2&nbsp; = 16 N.<\/p>\n\n\n\n<p><strong>Q.3) A hammer having a mass of 1 kg going with a speed of 6 m\/s hits a wall and comes to rest in 0.1 sec. Compute the obstacle force that makes the hammer stop.<\/strong><\/p>\n\n\n\n<p><em>Solution:<\/em><\/p>\n\n\n\n<p>Given,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mass of Hammer, m = 1 kg<\/li>\n\n\n\n<li>Initial Velocity, u = 6 m\/s<\/li>\n\n\n\n<li>Final Velocity, v = 0 m\/s<\/li>\n\n\n\n<li>Time Taken, t = 0.1 s<\/li>\n<\/ul>\n\n\n\n<p>The acceleration is:&nbsp;<strong>a<\/strong>&nbsp;= (v \u2013 u)\/t<\/p>\n\n\n\n<p>Therefore, a =&nbsp; -60&nbsp;m\/s2[-ve sign indicates retardation]<\/p>\n\n\n\n<p>Thus, the retarding Force, F = ma = 1&nbsp;\u00d7 60 = 60&nbsp;N<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q.1) How much net force is required to accelerate a 1000 kg car at 4.00 m\/s2? Solution: Given, Therefore,&nbsp; F = ma = 1000 \u00d7 4 = 4000 N Q.2)&nbsp;Aimee has a toy car mass of 2&nbsp;kg. How much force should she apply to the car so that it should travel with the acceleration of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":7195,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[752],"tags":[],"class_list":["post-7294","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-force"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/12\/force.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/7294","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=7294"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/7294\/revisions"}],"predecessor-version":[{"id":7295,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/7294\/revisions\/7295"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/7195"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=7294"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=7294"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=7294"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}