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Sagot :

LEAFE

Bonjour,

[tex]v = 4,50 \times 10^1 \ km/h = \frac{4,50 \times 10^1}{3,6} = 12,5 \ m/s[/tex]

[tex]Ec = \frac{1}{2} \times m \times v^2\\[0,2cm] 7,81 \times 10^3 = \frac{1}{2} \times m \times (12,5)^2\\[0,2cm] 7,81 \times 10^3 = \frac{1}{2} \times m \times 156,25\\[0,2cm] 7,81 \times 10^3 = m \times 78,125[/tex]

Maintenant il suffit d'isoler m :

[tex]\frac{7,81 \times 10^3}{78,125} = \frac{m \times 78,125}{78,125} \\[0,2cm] \frac{7,81 \times 10^3}{78,125} = m \\[0,2cm] 99,968 = m\\m = 99,968 \ kg[/tex]

La masse du léopard est 99,968 kg.

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