Greetings! If you could go through this process step-by-step that would be great
ID: 2265206 • Letter: G
Question
Greetings! If you could go through this process step-by-step that would be greatly appreciated! Thanks.
A hungry 177-kg lion running northward at 81.8 km/hr attacks and holds onto a 34.4-kg Thomson's gazelle running eastward at 61.4 km/hr. Find the final speed of the lion-gazelle system, immediately after the attack.
Explanation / Answer
from momentum conservation along north; 177*81.8 = (177+34.4)*Vy => Vy = 68.49 km/h from momentum conservation along east; 34.4*61.4 = (177 +34.4)*Vx => Vx = 9.99 km/h magnitude of velocity, v = sqrt[Vx^2 + Vy^2] => v = 69.215 km/h direction = tan^-1(68.49/9.99) = 81.7 degrees north of east
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