Dua benda masing-masing bermassa 2 kg dan 3 kg. Be...

Dua benda masing-masing bermassa 2 kg dan 3 kg. Benda-benda itu digantung pada suatu katrol melalui seutas kawat seperti pada gambar berikut.

Jika katrol licin maka percepatan kedua benda tersebut adalah.....

2 m/s²
3 m/s²
5 m/s²
6 m/s²
12 m/s²

Jawaban:

Untuk menghitung besarnya percepatan kedua benda, ditinjau gaya yang bekerja pada setiap benda.

Benda 1

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bold italic capital sigma bold italic F subscript bold 1 bold space end cell bold equals cell bold space bold italic m subscript bold 1 bold italic a end cell row cell T space minus space W subscript 1 space end cell equals cell space m subscript 1 a end cell row cell T space end cell equals cell space W subscript 1 space plus space m subscript 1 a end cell row cell T space end cell equals cell space m subscript 1 g space plus space m subscript 1 a end cell row cell T space end cell equals cell space 2 space kg space open parentheses 10 space straight m divided by straight s squared close parentheses space plus space open parentheses 2 space kg close parentheses space a end cell row cell bold italic T bold space end cell bold equals cell bold space bold 20 bold space bold N bold space bold plus bold space bold 2 bold italic a end cell end table end style$

Benda 2

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bold italic capital sigma bold italic F subscript bold 2 bold space end cell bold equals cell bold space bold italic m subscript bold 2 bold italic a end cell row cell W subscript 2 space minus space T space end cell equals cell space m subscript 2 a end cell row cell T space end cell equals cell space W subscript 2 space minus space m subscript 2 a end cell row cell T space end cell equals cell space m subscript 2 g space minus space m subscript 2 a end cell row cell T space end cell equals cell space 3 space kg space open parentheses 10 space straight m divided by straight s squared close parentheses space minus space open parentheses 3 space kg close parentheses space a end cell row cell bold italic T bold space end cell bold equals cell bold space bold 30 bold space bold N bold space bold minus bold space bold 3 bold italic a end cell end table end style$

Kemudian, dihitung :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bold italic T bold space end cell bold equals cell bold space bold italic T end cell row cell 20 space straight N space plus space 2 a space end cell equals cell space 30 space straight N space minus space 3 a end cell row cell 2 a space plus space 3 a space end cell equals cell space 30 space straight N space minus space 20 space straight N end cell row cell 5 a space end cell equals cell space 10 space straight N end cell row cell a space end cell equals cell space fraction numerator 10 space straight N over denominator 5 end fraction end cell row cell bold italic a bold space end cell bold equals cell bold space bold 2 bold space bold m bold divided by bold s to the power of bold 2 end cell end table end style$

Maka, percepatan kedua benda pada katrol tersebut adalah 2 m/s².

Jadi, jawaban yang tepat adalah A.

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