33%) Problem 2: A car with mass me 1353 kg is traveling west through an NO) inte
ID: 1640569 • Letter: 3
Question
33%) Problem 2: A car with mass me 1353 kg is traveling west through an NO) intersection at a magnitude of velocity of ve 65 m/s when a truck of mass mt m 1647 kg traveling south at vt 15A m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction of uk m05. Incorrect Answer The provided answer is not correct and no specific f available. E(a) Please view available hints and review the relevant material Ctheexpertta.com 50% Part (a) Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j. Grade Summary 7 8 9 Attempts remaining: 2 (i per attempt) 1 2 3 Hint give up! Hints: 4% deduction per hint. Hints remaining: 1 Feedback deduction per feedback. A 50% Part a) How far, in meters, will the vehicles slide after the collision? All coracat 02017 Expert TA.ucExplanation / Answer
Let's make west and south "positive".
initial p = final p = 1353kg*6.5m/s i + 1647kg*15.4m/s = 8794.5kg·m/s i + 25363.8kg·m/s j
Divide by the total mass (1353 + 1647)kg = 3000 kg to get velocity:
v = 8794.5 / 30000 m/s i + 25363.8 / 3000m/s jmag
V = 2.9 m/s i + 8.5 m/s j
v = (2.9² + 8.5²) m/s = 8.98 m/s
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