Roboguru

Dua bola bermassa m1 = 5 kg dan m2 = 3 kg bergerak berlawanan dengan kecepatan masing-masing 1 m/s dan 3 m/s. Tentukan kecepatan kedua bola setelah tumbukan jika tumbukannya lenting sempurna

Pertanyaan

Dua bola bermassa m1 = 5 kg dan m2 = 3 kg bergerak berlawanan dengan kecepatan masing-masing 1 m/s dan 3 m/s. Tentukan kecepatan kedua bola setelah tumbukan jika tumbukannya lenting sempurna

Pembahasan Soal:

Diketahui

m subscript 1 equals 5 space k straight g m subscript 2 equals 3 space kg v subscript 1 equals 1 space straight m divided by straight s v subscript 2 equals 3 space straight m divided by straight s

Ditanyakan v1, dan v2,

Penyelesaian

Gunakan hukum kekekalan momentum, perhatikan arah gerak benda

p equals p apostrophe m subscript 1 v subscript 1 plus m subscript 2 v subscript 2 equals m subscript 1 v subscript 1 to the power of apostrophe plus m subscript 2 v subscript 2 to the power of apostrophe 5 times 1 plus 3 times left parenthesis negative 3 right parenthesis equals 5 v subscript 1 to the power of apostrophe plus 3 v subscript 2 to the power of apostrophe 5 minus 9 equals 5 v subscript 1 to the power of apostrophe plus 3 v subscript 2 to the power of apostrophe 5 v subscript 1 to the power of apostrophe plus 3 v subscript 2 to the power of apostrophe equals negative 4

kemudian gunakan persamaan koefisien restitusi

e equals fraction numerator negative left parenthesis v subscript 2 to the power of apostrophe minus v subscript 1 to the power of apostrophe right parenthesis over denominator v subscript 2 minus v subscript 1 end fraction 1 equals fraction numerator negative v subscript 2 to the power of apostrophe plus v subscript 1 to the power of apostrophe over denominator negative 3 minus 1 end fraction minus 4 equals negative v subscript 2 to the power of apostrophe plus v subscript 1 to the power of apostrophe v subscript 1 to the power of apostrophe equals v subscript 2 to the power of apostrophe minus 4

subtitusi v1' kedalam persamaan hukum kekekalan momentum

5 v subscript 1 to the power of apostrophe plus 3 v subscript 2 to the power of apostrophe equals negative 4 5 open parentheses v subscript 2 to the power of apostrophe minus 4 close parentheses plus 3 v subscript 2 to the power of apostrophe equals negative 4 5 v subscript 2 to the power of apostrophe minus 20 plus 3 v subscript 2 to the power of apostrophe equals negative 4 8 v subscript 2 to the power of apostrophe equals 16 v subscript 2 to the power of apostrophe equals 2 space straight m divided by straight s

subtitusi v2' kedalam persamaan koefisien restitusi

v subscript 1 to the power of apostrophe equals v subscript 2 to the power of apostrophe minus 4 v subscript 1 to the power of apostrophe equals 2 minus 4 v subscript 1 to the power of apostrophe equals negative 2 space straight m divided by straight s

Dengan demikian, besar kecepatan kedua bola setelah bertumbukan adalah -2 m/s dan 2 m/s

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

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