Modified Mastering Physics with Pearson eText -- Combo Access -- for Physics for Scientist and Engineers (18 week)
5th Edition
ISBN: 9780137504299
Author: Douglas C. Giancoli
Publisher: Pearson Education (US)
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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.
À = (2.00 m )i + (3.00 m )}
B = 4.00 m, at 65.0⁰
7 = ( - 4.00 m
D = 5.00 m, at -235⁰
¹)ì – (6.00 m )Ĵ
The x component of vector A is 3 units, and its y component is -4 units.
The magnitude of A is
O 3 units.
O 7 units.
O 25 units.
O - 1units.
O units.
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.
Ā = (2.00m + (3.00m
A
+ (3.00 m /
= 4.00 m, at 65.0°
-4.00 m
6.00 m
= 5.00 m, at -235°
(a) Number
-3.17
4.71
Units
m
(b) Number
5.67
Units
(c) Number
Units
° (degrees)
-33.94197699
Chapter 3 Solutions
Modified Mastering Physics with Pearson eText -- Combo Access -- for Physics for Scientist and Engineers (18 week)
Ch. 3.2 - Prob. 1AECh. 3.3 - What does the incorrect vector in Fig. 36c...Ch. 3.8 - Prob. 1DECh. 3.8 - The maximum range of a projectile is found to be...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 - Prob. 3QCh. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a batter hits a very...Ch. 3 - If V=V1+V2, is V necessarily greater than V1...
Ch. 3 - Prob. 7QCh. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...Ch. 3 - Can a particle with constant speed be...Ch. 3 - Prob. 11QCh. 3 - In archery, should the arrow be aimed directly at...Ch. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - A projectile is launched at an upward angle of 30...Ch. 3 - A projectile has the least speed at what point in...Ch. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - A person sitting in an enclosed train car, moving...Ch. 3 - If you are riding on a train that speeds past...Ch. 3 - Two rowers, who can row at the same speed in still...Ch. 3 - If you stand motionless under an umbrella in a...Ch. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 1PCh. 3 - Prob. 3PCh. 3 - (II) Graphically determine the resultant of the...Ch. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - (II) (a) Given the vectors A and B shown in Fig....Ch. 3 - (II) Determine the vector AC, given the vectors A...Ch. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - (I) What was the average velocity of the particle...Ch. 3 - Prob. 21PCh. 3 - (II) At t = 0, a particle starts from rest at x =...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - (II) A fire hose held near the ground shoots water...Ch. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - (II) (a) A long jumper leaves the ground at 45...Ch. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - (II) Suppose the kick in Example 3-7 is attempted...Ch. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - (I) Huck Finn walks at a speed of 0.70m/s across...Ch. 3 - (II) Determine the speed of the boat with respect...Ch. 3 - Prob. 65PCh. 3 - (II) A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - Prob. 67PCh. 3 - (II) In what direction should the pilot aim the...Ch. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - (II) A swimmer is capable of swimming 0.60 m/s in...Ch. 3 - (II) A swimmer is capable of swimming 0.60m/s in...Ch. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76GPCh. 3 - Prob. 77GPCh. 3 - Prob. 78GPCh. 3 - Prob. 79GPCh. 3 - (II) Here is something to try at a sporting event....Ch. 3 - Prob. 82GPCh. 3 - Prob. 83GPCh. 3 - Prob. 84GPCh. 3 - Prob. 85GPCh. 3 - Prob. 86GPCh. 3 - Prob. 87GPCh. 3 - Prob. 88GPCh. 3 - Prob. 89GPCh. 3 - Prob. 90GPCh. 3 - Prob. 91GPCh. 3 - Prob. 93GPCh. 3 - Prob. 95GPCh. 3 - The speed of a boat in still water is v. The boat...Ch. 3 - At t = 0 a batter hits a baseball with an initial...Ch. 3 - Prob. 98GPCh. 3 - Prob. 99GPCh. 3 - Prob. 100GPCh. 3 - Prob. 101GPCh. 3 - Prob. 102GP
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- Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.arrow_forwardIf A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.arrow_forwardCheck Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?arrow_forward
- Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .arrow_forwardIf two vectors have the same magnitude, do their components have to be the same?arrow_forwardA delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forward
- Given the displacement vectors A=(3i4j+4k)m and B=(2i+3j7k)m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C=A+B (b) D=2ABarrow_forwardThe angle made by the two vectors 3 = 3î + 43 +5k and M = 31 +4) +5k j is: A) 90 (B) No Answer c) 180 45arrow_forward35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an angle of 60.0° above the +x axis and has a magnitude of 200.0 units. Vector Č points along the +x axis and has a magnitude of 150.0 units. Which vec- tor has (a) the largest x component and (b) the largest y component? E 30.0 Ā, 36. Soccer player #1 is 8.6 m from the goal (see the drawing). If she kicks the ball directly into the net, the ball has a displacement labeled A. Net If, on the other hand, she first kicks it 90° to player #2, who then kicks it into the net, the ball undergoes two successive displacements, A, and A,. What are the magnitudes and directions of Ā, and A,? Problem 36 %24arrow_forward
- 35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an angle of 60.0° above the +x axis and has a magnitude of 200.0 units. Vector č points along the +x axis and has a magnitude of 150.0 units. Which vec- tor has (a) the largest x component and (b) the largest y component?arrow_forwardTwo vectors are given by d = 2.5i + 5.6ĵ and b = 7.9î + 2.4). Find (a) a x b | (b) đ (à + b ). b ,and (d) the component of d along the direction of b ? (a) Number i Units This answer has no units (b) Number 32.96 Units This answer has no units (c) Number i Units This answer has no units (d) Number 4.1 Units This answer has no unitsarrow_forward1.1l Given the vectors M = -10a, + 4a, – 8a, and N = 8a, + 7a, – 2a,, find: (a) a unit vector in the direction of -M + 2N; (b) the magnitude of 5a, + N – 3M; (c) |M||2N|(M + N).arrow_forward
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