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Pertanyaan

Sebuah bola bilyar A bermassa 100 gram bergerak menuju bola bilyar B bermasasasama yang mula-mula dalam keadaan diam seperti gambar. Besar kecepatan bola A sesudah tumbukan adalah...

Sebuah bola bilyar A bermassa 100 gram bergerak menuju bola bilyar B bermasasasama yang mula-mula dalam keadaan diam seperti gambar.

Besar kecepatan bola A sesudah tumbukan adalah...

  1. 5,0 m/s

  2. square root of 19 m divided by s

  3. 4 m/s

  4. square root of 11 space m divided by s

  5. 3 m/s

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R. Amalia

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Pembahasan

Sumbu x : Sumbu y : Maka :

Sumbu x :

m subscript A v subscript A x end subscript plus m subscript B v subscript B x end subscript equals m subscript A v to the power of apostrophe subscript A x end subscript plus m subscript B v to the power of apostrophe subscript B x end subscript  left parenthesis 100 right parenthesis left parenthesis 5 right parenthesis c o s space 30 to the power of 0 plus 0 equals 100 v to the power of apostrophe subscript A x end subscript plus 0  500 open parentheses 1 half square root of 3 close parentheses equals 100 v to the power of apostrophe subscript A x end subscript  250 square root of 3 equals 100 v apostrophe subscript A x end subscript  v to the power of apostrophe subscript A x end subscript equals fraction numerator 250 square root of 3 over denominator 100 end fraction  v to the power of apostrophe subscript A x end subscript equals 2 comma 5 square root of 3 m divided by s

Sumbu y :

m subscript A v subscript A y plus m subscript B v subscript B y equals m subscript A v to the power of apostrophe subscript A y end subscript plus m subscript B v to the power of apostrophe subscript B y end subscript  left parenthesis 100 right parenthesis left parenthesis 5 right parenthesis space s i n space 30 to the power of 0 plus 0 equals 100 v to the power of apostrophe subscript A y end subscript plus 100 left parenthesis 3 right parenthesis  500 open parentheses 1 half close parentheses equals 100 v to the power of apostrophe subscript A y end subscript plus 300  250 equals 100 v to the power of apostrophe subscript A y end subscript plus 300  100 v to the power of apostrophe subscript A y end subscript equals negative 50  v to the power of apostrophe subscript A y end subscript equals negative 50 over 100  v to the power of apostrophe subscript A y end subscript equals negative 0 comma 5 m divided by s

Maka :

v subscript A equals square root of v to the power of apostrophe subscript A x end subscript squared plus v to the power of apostrophe subscript A y end subscript squared end root  v subscript A equals square root of left parenthesis 2 comma 5 square root of 3 right parenthesis squared plus left parenthesis negative 0 comma 5 right parenthesis squared end root  v subscript A equals square root of 75 over 4 plus 1 fourth end root  v subscript A equals square root of 76 over 4 end root  v subscript A equals square root of 19 m divided by s

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