{"id":191,"date":"2018-01-19T07:39:07","date_gmt":"2018-01-18T23:39:07","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=191"},"modified":"2018-01-19T07:39:07","modified_gmt":"2018-01-18T23:39:07","slug":"motion-on-horizontal-surface-without-friction-force-application-of-newtons-law-of-motion-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/motion-on-horizontal-surface-without-friction-force-application-of-newtons-law-of-motion-problems-and-solutions.htm","title":{"rendered":"Motion on the horizontal surface without the friction force \u2013 application of Newton’s law of motion problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1. Mass of the object 1 is 2 kg, the mass of the object 2 is 4 kg, acceleration of gravity<\/a> is 10 m\/s<\/span><\/span>2<\/span><\/span><\/sup>, the magnitude of the force F is 12 Newton. Determine the magnitude and direction of the objects’ acceleration.<\/span><\/span><\/p>\n

\"Motion<\/p>\n

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

m<\/span><\/span>1<\/span><\/sub> = 2 kg, m<\/span><\/span>2<\/span><\/sub> = 4 kg, g = 10 m\/s<\/span><\/span>2<\/span><\/span><\/sup>, F = 12 Newton<\/span><\/span><\/p>\n

Wanted <\/u><\/span><\/span> : a<\/span><\/span><\/p>\n

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

\u03a3<\/span><\/span>F = m a<\/span><\/span><\/p>\n

F <\/span><\/span>= (m<\/span><\/span>1<\/span><\/sub> + m<\/span><\/span>2<\/span><\/sub>) a<\/span><\/span><\/p>\n

12 = (2 + 4) a<\/span><\/span><\/p>\n

12 = 6 a<\/span><\/span><\/p>\n

a = 12 \/ 6<\/span><\/span><\/p>\n

a = 2 m\/s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

Magnitude of the acceleration is 2 m\/s<\/span><\/span>2<\/span><\/span><\/sup>, direction of the acceleration = direction of the net force = rightward.<\/span><\/span><\/p>\n

<\/p>\n

2. Mass<\/a> of the object 1 is 2 kg, mass of the object 2 is 4 kg, acceleration of gravity is 10 m\/s<\/span><\/span>2<\/span><\/span><\/sup>, magnitude of the force F is 24 N. Determine the magnitude and direction of the acceleration<\/a>.<\/span><\/span><\/p>\n

\"Motion<\/p>\n

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

m<\/span><\/span>1<\/span><\/span><\/sub> = 2 kg, m<\/span><\/span>2<\/span><\/span><\/sub> = 4 kg, g = 10 m\/s<\/span><\/span>2<\/span><\/span><\/sup>, F = 24 Newton<\/span><\/span><\/p>\n

Wanted:<\/u><\/span><\/span> acceleration (a)<\/span><\/span><\/p>\n

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

\u03a3<\/span><\/span>F = m a<\/span><\/span><\/p>\n

F <\/span><\/span>= (m<\/span><\/span>1<\/span><\/sub> + m<\/span><\/span>2<\/span><\/sub>) a<\/span><\/span><\/p>\n

24 = (2 + 4) a<\/span><\/span><\/p>\n

24 = 6 a<\/span><\/span><\/p>\n

a = 24 \/ 6<\/span><\/span><\/p>\n

a = 4 m\/s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

The direction of the acceleration = the direction of the net force = rightward.<\/span><\/span><\/p>\n

<\/p>\n

[wpdm_package id=’474′]<\/p>\n

    \n
  1. Mass and weight<\/a><\/li>\n
  2. Normal force<\/a><\/li>\n
  3. Newton’s second law of motion<\/a><\/li>\n
  4. Friction force<\/a><\/li>\n
  5. Motion on the horizontal surface without friction force<\/a><\/li>\n
  6. The motion of two bodies with the same acceleration on the rough horizontal surface with the friction force<\/a><\/li>\n
  7. Motion on the inclined plane without friction force<\/a><\/li>\n
  8. Motion on the rough inclined plane with the friction force<\/a><\/li>\n
  9. Motion in an elevator<\/a><\/li>\n
  10. The motion of bodies connected by cord and pulley<\/a><\/li>\n
  11. Two bodies with the same magnitude of accelerations<\/a><\/li>\n
  12. Rounding a flat curve – dynamics of circular motion<\/a><\/li>\n
  13. Rounding a banked curve – dynamics of circular motion<\/a><\/li>\n
  14. Uniform motion in a horizontal circle<\/a><\/li>\n
  15. Centripetal force in uniform circular motion<\/a><\/li>\n<\/ol>\n

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

    1. Mass of the object 1 is 2 kg, the mass of the object 2 is 4 kg, acceleration of gravity is 10 m\/s2, the magnitude of the force F is 12 Newton. Determine the magnitude and direction of the objects’ acceleration. Known : m1 = 2 kg, m2 = 4 kg, g = 10 … Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","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":"","_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":"Motion on the horizontal surface without the friction force \u2013 application of Newton's law of motion problems and solutions","_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-191","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\/191","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=191"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/191\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=191"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=191"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}