Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise.
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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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- Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.arrow_forwardLL Axax = B x ax; (d) A C = BC and Ax C = B x C where C is any vector except C = 0. 29 ax Express the unit vector a, in spherical components at the point: (a) r = 2, 0 = 1 rad, p = 0.8 rad; (b) x = 3, y = 2, z = -1; (c) p = 2.5, p = 0.7 rad, z = 1.5. 1.30 Consider a problem analogous to the varying wind velocities encountered byarrow_forwardE Vectors → and are shown in the figure. Vector is given by →→→→. The magnitude of A B C C B A vectoris 16.0 units, and the magnitude of vectoris 7.00 units. What is the angle of vector, A B measured counterclockwise from the +x-axis? 41.0 F4 S4 31.0 B 73.1° 287° F5 R % 5 V F6 T G Bi F7 B C H F8 & 7 00 D F9 * 00 J N M F10 K F11 FO: L F12 P PrtScr [ Insert ? 81°F Sunny ^ Delete Backspace ] PgUparrow_forward
- The position vector for an electron is r→=(1.3m)î-(6.1m)ĵ+(5.2m)k̂. Find the magnitude of r→.arrow_forwardWrite an expression for a unit vector at 45∘ clockwise from the x-axis. Express your answer in terms of the unit vectors i^ and j^.arrow_forwardb) Consider two vectors ä = î - 2] + 3k, and b = 3î - 2zj + 5k, where z is a scalar. vector & such that 3ä 4b-2c = 0.arrow_forward
- Vector A→, which is directed along an x axis, is to be added to vector B→, which has a magnitude of 9.30 m. The sum is a third vector that is directed along the y axis, with a magnitude that is 5.10 times that of A→. What is the magnitude of A→?arrow_forwardThe figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of 64.064.0, and vector ?⃗ C→ has a length of 22.0.22.0. Find each magnitude and direction.arrow_forwardHelp | System Announcements Z Your answer is partially correct. Try again. For the vectors in the figure, with a = 3.60, b = 2.7o, and c = 4.50, calculate (a) a b, (b) a.2, and (c) b.7. (a) Number This answer has no units v Units (b) Number14.02 This answer has no units v Units (c) Number This answer has no units v Units Click if you would like to Show Work for this question: Open Show Work archarrow_forward
- What is the angle between vectors A - 2i + 3j + k and B- 3i • 2j + K? O 21.79 O 42.88° 85.90° O 62.34arrow_forwardThree vectors →A , →B, and →C have the following x and y components: x-component y-component →A -9.00 6.00 →B 8.00 -6.50 →C 0.00 5.50 What is the magnitude of R→=A→−B→−C→ ?arrow_forwardQ2 (a) Based on the straight current-carrying filamentary conductor of length AB as can be viewed in Figure Q2(a), calculate H at the origin. (b) Given a condition where the z= 0 plane is carrying a current, K = 10£ A/m and at the same time, there is a current filament located at y = 0, z = 6 which carries a current / along £ direction. Find I such that H(0,0,3) = 0.arrow_forward
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