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Skema sebuah uji balistik ditunjukkan pada gambar ...

Skema sebuah uji balistik ditunjukkan pada gambar berikut.

Massa balok dan massa peluru berturut turut adalah 49,9 kg dan 0,1 kg. Setelah peluru bersarang di dalam baiok, balok naik hingga ketinggian 49 cm. Kecepatan peluru adalah... 
 

  1. begin mathsize 14px style 3500 square root of 2 space straight m over straight s end style 

  2. begin mathsize 14px style 350 square root of 2 space straight m over straight s end style 

  3. begin mathsize 14px style 35 square root of 2 space straight m over straight s end style 

  4. begin mathsize 14px style 3 comma 5 square root of 2 space straight m over straight s end style 

  5. begin mathsize 14px style 0 comma 35 square root of 2 space straight m over straight s end style 

Jawaban:

Diketahui:
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript p end cell equals cell 0 comma 1 space kg end cell row cell m subscript b end cell equals cell 49 comma 9 space kg end cell row h equals cell 4 comma 9 space cm equals 0 comma 049 space straight m end cell end table end style 

Ditanya:
v = ?

Jawab

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell E m subscript p plus E m subscript b end cell equals cell E m subscript T o t end subscript end cell row cell E p subscript p plus E k subscript p plus E p subscript b plus E k subscript b end cell equals cell E p subscript T o t end subscript plus E k subscript T o t end subscript end cell row cell 0 plus 1 half m subscript p v subscript p squared plus 0 plus 0 end cell equals cell m subscript T o t end subscript times g times h plus 0 end cell row cell 1 half m subscript p v subscript p squared end cell equals cell m subscript T o t end subscript times g times h end cell row cell v subscript p squared end cell equals cell fraction numerator 2 times m subscript T o t end subscript times g times h over denominator m subscript p end fraction end cell row cell v subscript p end cell equals cell square root of fraction numerator 2 times m subscript T o t end subscript times g times h over denominator m subscript p end fraction end root end cell row blank equals cell square root of fraction numerator 2 times 50 times 10 times 0 comma 049 over denominator 0 comma 1 end fraction end root end cell row blank equals cell square root of 10000 times 0 comma 049 end root end cell row blank equals cell square root of 490 end cell row blank equals cell 7 square root of 10 space straight m over straight s end cell end table end style 

Jadi, Kecepatan peluru adalah begin mathsize 14px style 7 square root of 10 space straight m over straight s end style

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