{"id":8160,"date":"2023-05-01T02:27:02","date_gmt":"2023-05-01T02:27:02","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=8160"},"modified":"2024-05-25T06:49:34","modified_gmt":"2024-05-25T06:49:34","slug":"spring-constant-equation","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/spring-constant-equation.htm","title":{"rendered":"Spring constant equation","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

3 questions about Spring constant equation<\/span><\/p>\n

1. A spring in free suspension has a length of 10 cm. At the free end, a 200 gram weight is suspended so that the length of the spring is 11 cm. If g = 10 m\/s2<\/sup>, what is the spring force constant?<\/span><\/p>\n

Known:<\/u><\/span><\/p>\n

The initial length of the spring (y1<\/sub>) = 10 cm = 0.10 m<\/span><\/p>\n

The final length of the spring (y2<\/sub>) = 11 cm = 0.11 m<\/span><\/p>\n

Spring length change (\u0394y) = 0.11 \u2013 0.10 = 0.01 meter<\/span><\/p>\n

The mass of the load (m) = 200 grams = 0.2 kg<\/span><\/p>\n

Load weight (w) = m g = (0,2)(10) = 2 Newtons<\/span><\/p>\n

Wanted:<\/u> Spring constant (k)<\/span><\/p>\n

Solution:<\/u><\/span><\/p>\n

Spring constant formula:<\/span><\/p>\n

F = k \u0394y<\/span><\/p>\n

k = F \/ \u0394y = 2 \/ 0,01 = 200 \/ 1 = 200 Newton\/meter<\/span><\/p>\n

2. A spring can be stretched so that it is extended by 10 cm with a potential energy of 0.5 Joule. What is the spring constant?<\/span><\/p>\n

Known:<\/u><\/span><\/p>\n

The addition of the spring length (\u0394y) = 10 cm = 0.1 meter<\/span><\/p>\n

Spring potential energy (EP) = 0.5 Joule<\/span><\/p>\n

Wanted:<\/u> Spring constant (k)<\/span><\/p>\n

Solution:<\/u><\/span><\/p>\n

The spring constant is calculated using the Spring Potential Energy formula:<\/span><\/p>\n

EP = \u00bd k \u0394y2<\/sup> <\/span><\/p>\n

2 EP = k \u0394y2<\/sup> <\/span><\/p>\n

2 (0,5) = k (0,1)2<\/sup> <\/span><\/p>\n

1 = k (0,01)<\/span><\/p>\n

k = 1 \/ 0,01 = 100 \/ 1 = 100 Newton\/meter<\/span><\/p>\n

3. A spring pulled with a force of 100 N increases its length by 5 cm. Calculate the spring constant.<\/span><\/p>\n

Known:<\/u><\/span><\/p>\n

Force (F) = 100 N<\/span><\/p>\n

Increase in spring length (\u0394x) = 5 cm = 0.05 m<\/span><\/p>\n

Wanted:<\/u> Spring constant (k)<\/span><\/p>\n

Solution:<\/u><\/span><\/p>\n

F = k \u0394x<\/span><\/p>\n

k = F \/ \u0394x = 100 \/ 0,05 = 10.000 \/ 5 = 2000 Newton\/meter <\/span><\/p>\n

\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

3 questions about Spring constant equation 1. A spring in free suspension has a length of 10 cm. At the free end, a 200 gram weight is suspended so that the length of the spring is 11 cm. If g = 10 m\/s2, what is the spring force constant? Known: The initial length of the … Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"3","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Spring constant equation","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-8160","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/8160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=8160"}],"version-history":[{"count":9,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/8160\/revisions"}],"predecessor-version":[{"id":9843,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/8160\/revisions\/9843"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=8160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=8160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=8160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}