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10. -12 points Tipler6 2,P084 My Notes Ask Your Teacher Two trains face each oth

ID: 1573288 • Letter: 1

Question

10. -12 points Tipler6 2,P084 My Notes Ask Your Teacher Two trains face each other on adjacent tracks. They are initially at rest, and their front ends are 50 m apart. The train on the left accelerates rightward at 0.81 m/s2. The train on the right accelerates leftward at 1.02 m/s2 (a) How far does the train on the left travel before the front ends of the trains pass? (b) If the trains are each 1s0 m In length, how long after the start are they completely past one another, assuming their accelerations are constant? Submit Answer Save P Practice Another Version 11. 12 points Tipler6 2.P.086. My Notes Ask Your Teacher A motorcycle officer hidden at an intersection observes a car driven by an oblivious driver who ignores a stop sign and continues through the intersection at constant speed. The police officer takes off in pursuit 1.82 s after the car has passed the stop sign. She accelerates at 4.0 m/s2 until her speed is 105 km/h, and then continues at this speed until she catches the car. At that instant, the car is 1.9 km from the intesection. (a) How long did it take for the officer to catch up to the car? (b) How fast was the car traveling? mi/h

Explanation / Answer

The left hand train appears to be accelerating at 0.81 + 1.02 = 1.83 m/s2 and covers the 50 m in

s = 0.5 at2

t = (2s/a) = (2(50) / 1.83) = 54.64 s

So with the reference frame now attached to the rails, the left train travels

s = 0.5(0.81)54.642 = 22.13 m  

when the front ends are adjacent.

B) Again fixing the reference frame to the right train,

The left train must travel 50 + 150 + 150 = 350 m to completely pass the right train

350 = 0.5(2.1)t2

t = 18.26 s

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