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exam1practice

# exam1practice - Now updated for 2007 1 Convert all of the...

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Now updated for 2007!!! 1. Convert all of the following into proper mks units: (a) 2500 feet hr (b) 3 miles (c) 2 years (d) 12000 cm 3 (e) 45 gram × cm minute 2 1

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2. You are driving along the road at 30 m s , when you notice a deer in the road 40 m in front of you. You immediately slam on the brakes and experience an acceleration of -10 m s 2 . (a) Where would you come to a stop if the deer were not in your way? (b) How fast are you going when you reach the deer’s position? (c) How long does it take you to get there? Luckily this is one smart deer. The deer runs to the side and needs to move a minimum of 1.2 meters to avoid being hit. What acceleration of the deer is necessary to just avoid the collision with your car? 2
3. Two trains are on the same track. Train A is in the back and is moving with a constant velocity, v 0 A = 12 m s . Train B is ahead of train A by 50 m and is moving with a velocity of v 0 B = 10 m s . Just at this moment Train B spots the trouble and begins to accelerate. (a) What is the minimum acceleration necessary to just barely avoid the collision ( i.e. the trains just touch without crashing). (b) What is the velocity of each train when they touch? (c) Where are they located when they touch? (d) When do they touch? 3

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4. You are a reckless teen racing a train in your car as shown in the figure below. Initially, you and the train both have a velocity of 20 m/s, but the train is ahead of you by 150 meters. The train moves with constant velocity and you accelerate in an attempt to reach the finish line before train does. Train Car 2000 m 150 m NOTE: Drawing is not to scale! Finish Line (a) (6 pts) How long does it take the train to reach the finish line? (b) (7 pts) What acceleration is necessary for you to reach the finish line at the same time as the train? (c) (7 pts) How fast are you going when you reach the finish line? 4
5. Bo and Luke Duke are driving in the “General Lee” (a famous sports car), and Cooter is driving the pickup truck as shown in the figure below.

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