Tutorial 2 Solutions

Tutorial 2 Solutions - PHY1010 - Tutorial 2A: Vectors, 1-D...

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PHY1010 - Tutorial 2A: Vectors, 1-D Motion, 2-D Motion Chapter 2 – Motion along a Straight Line Δx = x 2 – x 1 = displacement of a moving object, which is the change in position of the object during its motion. Δt = t 2 – t 1 = elapsed time = the time taken to travel from the initial position to the final position t x v average x = = magnitude of average velocity along the x coordinate axis = displacement/elapsed time dt dx v x = = instantaneous velocity along the x coordinate axis Average speed = elapsed traveled av t d s = = distance traveled / elapsed time t v a x x average = = average acceleration of an object is the rate of change of its velocity. dt dv a x x = = instantaneous acceleration at any instant The Particle under Constant Acceleration Practice 2.1 - Sample Question 3 (ch2, problem 27) - An electron with initial velocity v 0 = 1.50 × 10 5 m/s enters a region 1.00 cm long where it is electrically accelerated (Fig. 2-19). It emerges with velocity v = 5.70 × 10 6 m/s. What is its acceleration, assumed constant? (Such a process occurs in conventional television sets.) 1
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Answer: 1.62× 10 15 m/s 2 Practice 2.2 - Sample Question 4 (ch2, problem 51) - A key falls from a bridge that is 45 m above the water. It falls directly into a model boat, moving with constant velocity that is 12 m from the point of impact when the key is released. What is the speed of the boat? Answer: 4.0 m/s Practice 2.3 - Sample Question 5 (ch2, problem 57) To test the quality of a tennis ball, you drop it onto the floor from a height of 4.00 m. It rebounds to a height of 2.00 m. If the ball is in contact with the floor for 12.0 ms, (a) what is its average acceleration during that contact and (b) is the average acceleration up or down? Answer: 1.26*10 3 m/s 2 , up 2
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Practice 2.4 (exam 2007) – On a dry road, a car with good tires may be able to brake with a constant deceleration of 4.92 m/s 2 . (a) How long does such a car, traveling at 24.6 m/s, take to stop? (b) How far does it travel in this time? Answer: 5.00 s, 61.5 m Practice 2.5 – A person walks first at a constant speed of 5.00 m/s along a straight line from point A to point B and back along the line from B to A at a constant speed of 3.00 m/s. Find: a. Her average speed over the entire trip Answers: 3.75m/s b. Her average velocity 3
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Practice 2.6 - A jet plane lands with a speed of 100 m/s and can decelerate at a maximum rate of 5.00 m/s 2 as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest? (b) Can this plane land on a small tropical island airport where the runway is 0.800
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Tutorial 2 Solutions - PHY1010 - Tutorial 2A: Vectors, 1-D...

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