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Perhatikan gambar di bawah ini! Besarnya perubahan momentum pada gambar di atas jika massa benda 0,1 kg adalah ....

Perhatikan gambar di bawah ini!

Besarnya perubahan momentum pada gambar di atas jika massa benda 0,1 kg adalah ....

  1. begin mathsize 14px style 0 end style 

  2. begin mathsize 14px style 0 comma 4 space kg times straight m divided by straight s end style 

  3. begin mathsize 14px style 0 comma 4 square root of 3 space kg times straight m divided by straight s end style 

  4. begin mathsize 14px style 0 comma 8 space kg times straight m divided by straight s end style 

  5. begin mathsize 14px style 0 comma 8 square root of 3 space kg times straight m divided by straight s end style 

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Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

jawaban yang benar adalah C.

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Pembahasan

Diketahui: Ditanyakan: Perubahan momentum, Jawab: Misalkan arah positif sumbu X ke kanan dan arah sumbu Y ke atas. Penguraian komponen vektor kecepatan benda sebelum dan sesudah tumbukan: Perubahan momentum pada komponen vektor sumbu X dan Y: Perubahan momentum total (sumbu X dan Y): Dengan demikian, perubahan momentum saat benda bertumbukan sebesar . Jadi, jawaban yang benar adalah C.

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell 0 comma 1 space kg end cell row v equals cell 8 space straight m divided by straight s end cell row cell v apostrophe end cell equals cell 4 space straight m divided by straight s end cell row theta equals cell theta apostrophe equals 30 degree end cell end table end style 

Ditanyakan:

Perubahan momentum, begin mathsize 14px style open vertical bar bold increment bold p close vertical bar equals ? end style 

Jawab:

Misalkan arah positif sumbu X ke kanan dan arah sumbu Y ke atas.

Penguraian komponen vektor kecepatan benda sebelum dan sesudah tumbukan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell v subscript x end cell equals cell v space cos space 30 degree equals open parentheses 8 close parentheses open parentheses 1 half square root of 3 close parentheses equals 4 square root of 3 space straight m divided by straight s space left parenthesis rightwards arrow right parenthesis end cell row cell v subscript y end cell equals cell v space sin space 30 degree equals open parentheses 8 close parentheses open parentheses 1 half close parentheses end cell row blank equals cell 4 space straight m divided by straight s space left parenthesis downwards arrow right parenthesis end cell row cell v subscript x apostrophe end cell equals cell v apostrophe space cos space 30 degree equals open parentheses 4 close parentheses open parentheses 1 half square root of 3 close parentheses equals 2 square root of 3 space straight m divided by straight s space left parenthesis rightwards arrow right parenthesis end cell row cell v subscript y apostrophe end cell equals cell v apostrophe space sin space 30 degree equals open parentheses 4 close parentheses open parentheses 1 half close parentheses end cell row blank equals cell 2 space straight m divided by straight s space left parenthesis upwards arrow right parenthesis end cell end table end style 

Perubahan momentum pada komponen vektor sumbu X dan Y:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell increment p subscript x end cell equals cell m open parentheses v subscript x apostrophe minus v subscript x close parentheses end cell row blank equals cell open parentheses 0 comma 1 close parentheses open parentheses 2 square root of 3 minus 4 square root of 3 close parentheses end cell row blank equals cell open parentheses 0 comma 1 close parentheses open parentheses negative 2 square root of 3 close parentheses equals negative 0 comma 23 space kg times straight m divided by straight s end cell row cell increment p subscript y end cell equals cell m open parentheses v subscript y apostrophe minus v subscript y close parentheses end cell row blank equals cell open parentheses 0 comma 1 close parentheses open parentheses 2 minus open parentheses negative 4 close parentheses close parentheses end cell row blank equals cell open parentheses 0 comma 1 close parentheses open parentheses 6 close parentheses equals 0 comma 6 space kg times straight m divided by straight s end cell end table end style 

Perubahan momentum total (sumbu X dan Y):

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar bold increment bold p close vertical bar end cell equals cell square root of open parentheses increment p subscript x close parentheses squared plus open parentheses increment p subscript y close parentheses squared end root end cell row blank equals cell square root of open parentheses negative 0 comma 2 square root of 3 close parentheses squared plus open parentheses 0 comma 6 close parentheses squared end root end cell row blank equals cell square root of 0 comma 12 plus 0 comma 36 end root equals square root of 0 comma 48 end root equals bold 0 bold comma bold 4 square root of bold 3 bold space bold kg bold times bold m bold divided by bold s end cell end table end style 

Dengan demikian, perubahan momentum saat benda bertumbukan sebesar begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank kg end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight m end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank divided by end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight s end table end style.

Jadi, jawaban yang benar adalah C.

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