{"id":1110,"date":"2018-02-25T05:46:03","date_gmt":"2018-02-24T21:46:03","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=1110"},"modified":"2018-02-25T05:46:03","modified_gmt":"2018-02-24T21:46:03","slug":"linear-momentum-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/linear-momentum-problems-and-solutions.htm","title":{"rendered":"Linear momentum \u2013 problems and solutions"},"content":{"rendered":"

1. An object travels at a constant 10 m\/s. Calculate the linear momentum<\/a> of the object. <\/span><\/span><\/p>\n

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

Mass<\/a> (m) = 1 kg<\/span><\/span><\/p>\n

Velocity<\/a> (v) = 10 m\/s<\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> linear momentum (p)<\/span><\/span><\/p>\n

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

Formula of the linear momentum :<\/span><\/span><\/p>\n

p = m v<\/span><\/span><\/p>\n

p = linear momentum, m = mass, v = velocity<\/i><\/span><\/span><\/p>\n

The linear momentum :<\/span><\/span><\/p>\n

p = m v = (1)(10) = 10 kg m\/s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

<\/p>\n

2. A 2-kg block and a 4-kg blocks moves at a constant 20 m\/s. What is the linear momentum of the blocks. <\/span><\/span><\/p>\n

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

Mass <\/span><\/span>of block <\/span><\/span>A (m<\/span><\/span>A<\/span><\/sub>) = 2 kg<\/span><\/span><\/p>\n

Mass <\/span><\/span>of block <\/span><\/span>B (m<\/span><\/span>B<\/span><\/sub>) = 4 kg<\/span><\/span><\/p>\n

Velocity of block A (v<\/span><\/span>A<\/span><\/sub>) = 20 m\/s<\/span><\/span><\/p>\n

Velocity of block B (v<\/span><\/span>B<\/span><\/sub>) = 20 m\/s<\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> Linear momentum of block A (p<\/span><\/span>A<\/span><\/sub>) and linear momentum of block B (p<\/span><\/span>B<\/span><\/sub>)<\/span><\/span><\/p>\n

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

Linear momentum of block A <\/b><\/span><\/span>:<\/span><\/span><\/p>\n

p<\/span><\/span>A<\/span><\/sub> = m<\/span><\/span>A<\/span><\/sub> v<\/span><\/span>A<\/span><\/sub> = (2)(20) = 40 kg m\/s<\/span><\/span><\/p>\n

Linear momentum of block B <\/b><\/span><\/span>:<\/span><\/span><\/p>\n

p<\/span><\/span>B<\/span><\/sub> = m<\/span><\/span>B<\/span><\/sub> v<\/span><\/span>B<\/span><\/sub> = (4)(20) = 80 kg m\/s<\/span><\/span><\/p>\n

<\/p>\n

3. <\/span><\/span>A 2-kg block moves at a constant 2 m\/s and a 2-kg block moves at a constant 4 m\/s. Determine the linear momentum of the blocks. <\/span><\/span><\/p>\n

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

Mass <\/span><\/span>of block <\/span><\/span>A (m<\/span><\/span>A<\/span><\/sub>) = 2 kg<\/span><\/span><\/p>\n

Mass of block B <\/span><\/span>(m<\/span><\/span>B<\/span><\/sub>) = 2 kg<\/span><\/span><\/p>\n

Velocity of block <\/span><\/span>A (v<\/span><\/span>A<\/span><\/sub>) = 2 m\/s<\/span><\/span><\/p>\n

Velocity of block B <\/span><\/span>(v<\/span><\/span>B<\/span><\/sub>) = 4 m\/s<\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> the linear momentum of blocks<\/span><\/span><\/p>\n

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

Linear m<\/b><\/span><\/span>omentum <\/b><\/span><\/span>of block A <\/b><\/span><\/span>:<\/span><\/span><\/p>\n

p<\/span><\/span>A<\/span><\/sub> = m<\/span><\/span>A<\/span><\/sub> v<\/span><\/span>A<\/span><\/sub> = (2)(2) = 4 kg m\/s<\/span><\/span><\/p>\n

Linear momentum of block B :<\/span><\/span><\/b><\/p>\n

p<\/span><\/span>B<\/span><\/sub> = m<\/span><\/span>B<\/span><\/sub> v<\/span><\/span>B<\/span><\/sub> = (2)(4) = 8 kg m\/s<\/span><\/span><\/p>\n

<\/p>\n

4. <\/span><\/span>A 5-kg object at rest. What is the linear momentum of the momentum. <\/span><\/span><\/p>\n

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

Mass (m) = 5 kg<\/span><\/span><\/p>\n

Object’s velocity <\/span><\/span>(v) = 0<\/span><\/span><\/p>\n

Wanted <\/u><\/span><\/span>:<\/u><\/span><\/span> the linear momentum <\/span><\/span>(p)<\/span><\/span><\/p>\n

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

p = m v = (5)(0) = 0<\/span><\/span><\/p>\n

[wpdm_package id=’1155′]<\/p>\n

    \n
  1. Linear momentum problems and solutions<\/a><\/li>\n
  2. Momentum and impulse problems and solutions<\/a><\/li>\n
  3. Perfectly elastic collisions in one dimension problems and solutions<\/a><\/li>\n
  4. Perfectly inelastic collisions in one dimension problems and solutions<\/a><\/li>\n
  5. Inelastic collisions in one dimension problems and solutions<\/a><\/li>\n<\/ol>\n

    <\/p>\n","protected":false},"excerpt":{"rendered":"

    1. An object travels at a constant 10 m\/s. Calculate the linear momentum of the object. Known : Mass (m) = 1 kg Velocity (v) = 10 m\/s Wanted : linear momentum (p) Solution : Formula of the linear momentum : p = m v p = linear momentum, m = mass, v = velocity … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","jetpack_post_was_ever_published":false},"categories":[3],"tags":[],"class_list":["post-1110","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"jetpack_featured_media_url":"","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1110","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=1110"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1110\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=1110"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=1110"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=1110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}