- #1
aboakye
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I solved the following problem using Energy instead of conservation of momentum. Unfortunately, my answer is different from the expected solution. I'm not sure why my method doesn't work.
Any insights would be appreciated!
Problem:
A 2000 kg truck is traveling east through an intersection at 2 m/s when it is hit simultaneously from the side and the rear. One car is a 1000 kg compact traveling north at 5 m/s. The other car is a 1500 kg midsize traveling east at 10 m/s. The three vehicles become entangled and slide at one body. What are their speeds and direction just after the collision?
My Attempt:
Energy east/x: (1/2)*1500*100 + (1/2)*2000*4 = 79 kJ
Energy north/y: (1/2)*1000*25 = 12.5 kJ
Final speed: \sqrt{2.2^{2} + 5.92^{2} } = 6.32 m/s
@Angle: tan^{-1}(2.2/5.92) = 20.4°
Solution:
mvxfinal = 1500*100 + 2000*4 solve for v in x-dir
mvyfinal = 1000*5 solve for v in y-dir
Any insights would be appreciated!
Problem:
A 2000 kg truck is traveling east through an intersection at 2 m/s when it is hit simultaneously from the side and the rear. One car is a 1000 kg compact traveling north at 5 m/s. The other car is a 1500 kg midsize traveling east at 10 m/s. The three vehicles become entangled and slide at one body. What are their speeds and direction just after the collision?
My Attempt:
Energy east/x: (1/2)*1500*100 + (1/2)*2000*4 = 79 kJ
Energy north/y: (1/2)*1000*25 = 12.5 kJ
Final speed: \sqrt{2.2^{2} + 5.92^{2} } = 6.32 m/s
@Angle: tan^{-1}(2.2/5.92) = 20.4°
Solution:
mvxfinal = 1500*100 + 2000*4 solve for v in x-dir
mvyfinal = 1000*5 solve for v in y-dir
