Two identical cars are traveling at the same speed. One isheading due east and t
ID: 1751114 • Letter: T
Question
Two identical cars are traveling at the same speed. One isheading due east and the other due north, as the drawing shows (Itried to draw the picture but was unsuccessful). Which statement istrue regarding the kinetic energies and momenta of the cars? (Hint:Think in terms of scalar and vector quantities) a. They have the samekinetic energies and the same momentum. (mychoice) b. They have the same kinetic eneries, but diffent momenta. c.They have different kinetic energies, but the same momenta. d. Theyhave different kinetic energies, and different momenta. Two identical cars are traveling at the same speed. One isheading due east and the other due north, as the drawing shows (Itried to draw the picture but was unsuccessful). Which statement istrue regarding the kinetic energies and momenta of the cars? (Hint:Think in terms of scalar and vector quantities) a. They have the samekinetic energies and the same momentum. (mychoice) b. They have the same kinetic eneries, but diffent momenta. c.They have different kinetic energies, but the same momenta. d. Theyhave different kinetic energies, and different momenta.Explanation / Answer
While your answer may seem logical at first, you are missing aslight, but important nuance in physics. Kinetic energy is ascaler, and thus independent of direction. Momentum on the otherhand is a vector and is dependent on direction. Since the cars areidentitcal and traveling at the same speed their kinetic energy,defined through .5mv2 is the same between bothcars. Since the momentum relies on direction, while numericallytheir momentum is the same, it is not in the same direction, andtherefore different. I hope this helps, and if you need more help,let me know! And please rate!!!
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