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Berapa energi kinetik suatu roket ruang angkasa yang massanya 40 ton dan bergerak dengan kecepatan 0,5c?

Pertanyaan

Berapa energi kinetik suatu roket ruang angkasa yang massanya 40 ton dan bergerak dengan kecepatan 0,5c?undefined 

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Pembahasan Soal:

Eneegi kinetik relatiivistik:

begin mathsize 14px style E subscript k equals E minus E subscript o E subscript k equals fraction numerator m subscript o c squared over denominator square root of 1 minus begin display style v squared over c squared end style end root end fraction minus m subscript o c squared E subscript k equals fraction numerator m subscript o c squared over denominator square root of 1 minus begin display style open parentheses 0 comma 5 c close parentheses squared over c squared end style end root end fraction minus m subscript o c squared E subscript k equals fraction numerator m subscript o c squared over denominator square root of 1 minus begin display style fraction numerator 0 comma 25 c squared over denominator c squared end fraction end style end root end fraction minus m subscript o c squared E subscript k equals fraction numerator m subscript o c squared over denominator square root of 0 comma 75 end root end fraction minus m subscript o c squared E subscript k equals fraction numerator m subscript o c squared over denominator 0 comma 866 end fraction minus m subscript o c squared E subscript k equals m subscript o c squared left parenthesis fraction numerator 1 over denominator 0 comma 866 end fraction minus 1 right parenthesis E subscript k equals 40000 times left parenthesis 3 cross times 10 to the power of 8 right parenthesis squared times left parenthesis 0 comma 155 right parenthesis space E subscript k equals 40000 times 9 cross times 10 to the power of 16 times left parenthesis 0 comma 155 right parenthesis E subscript k equals 55800 cross times 10 to the power of 16 E subscript k equals 5 comma 58 cross times 10 to the power of 20 space straight J end style  

Jadi, energi kinetik partikel adalah 5,58x1020 J.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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