Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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12. What could we conclude if a system has a phase trajectory that sweeps out larger and larger area as time goes by?
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A cab driver heads south with a steady speed of v₁ = 20.0 m/s for t₁ = 3.00 min, then makes a right turn and travels at v₂ = 25.0 m/s for t₂ = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.80-min trip, calculate the following.
Assume +x is in the eastward direction.
(a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.)
magnitude
direction
For each straight-line movement, model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the starting point be the origin of your coordinate system. Use the relationship
speed = distance/time to find the distances traveled during each segment. Write the displacement vector, and calculate its magnitude and direction. Don't forget to convert min to s! m
Model the car as a particle under constant velocity, and draw a diagram of the displacements, labeling the distances and angles. Let the…
Chapter 3 Solutions
Physics: Principles with Applications
Ch. 3 - A small heavy box of emergency supplies is dropped...Ch. 3 - One car travels due east at 40 km/h, and a second...Ch. 3 - Can you conclude that a car is not accelerating if...Ch. 3 - Give several examples of an object's motion in...Ch. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a player hits a very...Ch. 3 - If V =V 1+V 2 , is V necessarily greater than V1,...Ch. 3 - Two vectors have length V1=3.5km and V2=4.0km ....Ch. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...
Ch. 3 - Prob. 10QCh. 3 - How could you determine the speed a slingshot...Ch. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - A projectile is launched at an upward angle of 300...Ch. 3 - Prob. 16QCh. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - 18. A person sitting in an enclosed train car,...Ch. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - A baseball player hits a ball that soars high into...Ch. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Which of the three kicks in Fig. 3-32 is in the...Ch. 3 - A baseball is hit high and far. Which of the...Ch. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - A car travels 10 m/s east. Another car travels 10...Ch. 3 - A car is driven 225 km west and then 98 km...Ch. 3 - A delivery truck travels 21 blocks north, 16...Ch. 3 - If Vx=9.80 units and Vy=6.40 units, determine the...Ch. 3 - Graphically determine the resultant of the...Ch. 3 - V is a vector 24.8 units in magnitude and points...Ch. 3 - Vector V is 6.6 using long and points along the...Ch. 3 - Figure 3-33 shows two vectors, A and B , whose...Ch. 3 - Prob. 8PCh. 3 - Three vectors are shown in Fig. 3-35 Q. Their...Ch. 3 - (a) given the vectors A and B shown in Fig. 3-35,...Ch. 3 - Determine the vector AC , given the vectors A and...Ch. 3 - For the vectors shown in Fig. 3—35, determine (a)...Ch. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - 17. (l) A tiger leaps horizontally from a...Ch. 3 - 18. (l) A diver running 2.5 m/s dives out...Ch. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - 21. (Il) A ball thrown horizontally at 12.2 m/s...Ch. 3 - (Il) A football is kicked at ground level with a...Ch. 3 - Prob. 23PCh. 3 - You buy a plastic dart gun,and being a clever...Ch. 3 - Prob. 25PCh. 3 - Extreme-sports enthusiasts have been known to jump...Ch. 3 - A projectile is fired with an initial speed of...Ch. 3 - An athlete performing a long jump leaves the...Ch. 3 - A shot-putter throws the "shot" (mass = 7.3 kg)...Ch. 3 - Prob. 30PCh. 3 - A rescue plane wants to drop supplies to isolated...Ch. 3 - Suppose the rescue plane of Problem 31 releases...Ch. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Suppose the kick in Example 3—6 is attempted 36.0...Ch. 3 - Revisit Example 3—7, and assume that the boy with...Ch. 3 - A stunt driver wants to make his car jump over 8...Ch. 3 - Prob. 38PCh. 3 - Huck Finn walks at a speed of 0.70 m/s across his...Ch. 3 - Determine the speed of the boat with respect to...Ch. 3 - Two planes approach each other head-on. Each has a...Ch. 3 - A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - A person in the passenger basket of a hot-air...Ch. 3 - 44. (Il) An airplane is heading due south at a...Ch. 3 - In what direction should the pilot aim the plane...Ch. 3 - 46. (Il) A swimmer is capable of swimming 0.60 m/s...Ch. 3 - (a) At what upstream angle must the swimmer in...Ch. 3 - 48. (Il) A boat, whose speed in still water is...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Two cars approach a street comer at right angles...Ch. 3 - Prob. 52GPCh. 3 - Prob. 53GPCh. 3 - A light plane is headed due south with a speed...Ch. 3 - Prob. 55GPCh. 3 - Prob. 56GPCh. 3 - 57. Apollo astronauts took a "nine iron" to the...Ch. 3 - 58. (a) A long jumper leaves the ground at above...Ch. 3 - Prob. 59GPCh. 3 - Prob. 60GPCh. 3 - Prob. 61GPCh. 3 - Prob. 62GPCh. 3 - Prob. 63GPCh. 3 - Prob. 64GPCh. 3 - When Babe Ruth hit a homer over the 8.0-m-high...Ch. 3 - At serve, a tennis player aims to hit the ball...Ch. 3 - Prob. 67GPCh. 3 - Prob. 68GPCh. 3 - 69. A boat can travel 2.20 m/s in still water. (a)...Ch. 3 - Prob. 70GPCh. 3 - Prob. 71GPCh. 3 - A rock is kicked horizontally at 15 m/s from a...Ch. 3 - Prob. 73GPCh. 3 - A ball is shot from the top of a building with an...Ch. 3 - If a baseball pitch leaves the pitcher's hand...
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- î A proton is projected in the positive x direction into a region of uniform electric field E = (-5.50 x 105) i N/C at t = 0. The proton travels 7.20 cm as it comes to rest. (a) Determine the acceleration of the proton. magnitude 5.27e13 direction -X m/s² (b) Determine the initial speed of the proton. 8.71e-6 magnitude The electric field is constant, so the force is constant, which means the acceleration will be constant. m/s direction +X (c) Determine the time interval over which the proton comes to rest. 1.65e-7 Review you equations for constant accelerated motion. sarrow_forwardThree charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q = 2.00 μC, and L = 0.750 m.) y 7.00 με 60.0° L 9 -4.00 μC x (a) Calculate the electric field at the position of charge q due to the 7.00-μC and -4.00-μC charges. 112 Once you calculate the magnitude of the field contribution from each charge you need to add these as vectors. KN/CI + 64 × Think carefully about the direction of the field due to the 7.00-μC charge. KN/Cĵ (b) Use your answer to part (a) to determine the force on charge q. 240.0 If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mN Î + 194.0 × If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mNarrow_forwardIn the Donkey Kong Country video games you often get around by shooting yourself out of barrel cannons. Donkey Kong wants to launch out of one barrel and land in a different one that is a distance in x of 9.28 m away. To do so he launches himself at a velocity of 22.6 m/s at an angle of 30.0°. At what height does the 2nd barrel need to be for Donkey Kong to land in it? (measure from the height of barrel 1, aka y0=0)arrow_forward
- For which value of θ is the range of a projectile fired from ground level a maximum? 90° above the horizontal 45° above the horizontal 55° above the horizontal 30° above the horizontal 60° above the horizontalarrow_forwardA map from The Legend of Zelda: The Breath of the Wild shows that Zora's Domain is 7.55 km in a direction 25.0° north of east from Gerudo Town. The same map shows that the Korok Forest is 3.13 km in a direction 55.0° west of north from Zora's Domain. The figure below shows the location of these three places. Modeling Hyrule as flat, use this information to find the displacement from Gerudo Town to Korok Forest. What is the magnitude of the displacement? Find the angle of the displacement. Measure the angle in degrees north of east of Gerudo Town.arrow_forwardRace car driver is cruising down the street at a constant speed of 28.9 m/s (~65 mph; he has a “lead” foot) when the traffic light in front of him turns red. a) If the driver’s reaction time is 160 ms, how far does he and his car travel down the road from the instant he sees the light change to the instant he begins to slow down? b) If the driver’s combined reaction and movement time is 750 ms, how far do he and his car travel down the road from the instant he sees the light change to the instant he slams on her brakes and car begins to slow down? c) If the driver’s average rate of acceleration is -9.5 m/s2 as he slows down, how long does it take him to come to a stop (use information about his speed of 28.9 m/s but do NOT use his reaction and movement time in this computation)? Please answer parts a-c. Show all work. For each question draw a diagram to show the vector/s. Show all the step and provide units in the answers. Provide answer to 2 decimal places unless stated otherwise.arrow_forward
- Below you will find 100 m split times for the American and France men’s 4x100 meter free style relay race during the 2008 Beijing Summer Olympics). Answer questions a-d. a) What was the total race time for each team, in seconds? b) Which team won the race? What was the difference in the teams’ times? c) What was the average speed for each team for the whole race? (provide answer to 3 decimal places). d) Calculate the average speed for each swimmer and report the results in a table like the one above. Remember to show the calculation steps. (provide answer to 3 decimal places). PLEASE SHOW ALL WORK AND STEPS.arrow_forwardNeed complete solution Pleasearrow_forwardBelow you will find 100 m split times for the American and France men’s 4x100 meter free style relay race during the 2008 Beijing Summer Olympics). Fill out the chart below. Calculate average speed per split (m/s). Show all work.arrow_forward
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