9. In Anchorage, Alaska, collisions of a vehicle with a moose are so common that
ID: 1458399 • Letter: 9
Question
9. In Anchorage, Alaska, collisions of a vehicle with a moose are so common that they are referred to with the abbreviation MVC. Suppose a 1000 kg car slides into a stationary 500 kg moose on a very slippery road, with the moose being thrown through the windshield (a common MVC result). (a) What percent of the original kinetic energy is lost in the collision to other forms of energy? A similar danger occurs in Saudi Arabia because of camel-vehicle collisions (CVC). (b) What percent of the original kinetic energy is lost if the car hits a 300 kg camel? (c) Generally, does the percent loss increase or decrease if the animal mass decreases? Answer: (a) 33%; (b) 23%; (c) decreasesExplanation / Answer
inelastic collision so m1v1+m2v2=(m1+m2)v3 where v2=0 so m1v1=(m1+m2)v3 so 1050/1550v1=v3 so now the energy eq 1/2*m1v1^2:1/2*(m1+m2)v3^2 1/2*1050*v1^2:1/2*1550*(1050/1550v1)^2 divide by 1/2v1^2 1050:1550*1050^2/1550^2 divide by 1050 1:1050/1550 67.8% remaining so loss of 32.2% in b 1050/(1050+260)=80.15% remaining so 19.85% loss as mass decreases loss decreases.
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