College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 3, Problem 2P
Vector
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Vector A S has magnitude 8.00 m and is in the xy-plane at an angle of 127 counterclockwise from the +x–axis (37˚ past the +y-axis). What are the magnitude and direction of vector B vec if the sum A vec + B vec is in the -y-direction and has magnitude 12.0 m?
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Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along at an angle of 40 degrees from x-axis in the first quadrant, and b has magnitude of 6.0 N and is directed along at an angle of 50 degrees from y-axis in the second quadrant. Find the x and y components of vector a and vector b. Find the magnitude and direction of (vector a + vector b). Find the magnitude and direction of (vector a - vector b).
Vector C has a magnitude of 23.4 m and points in the −? direction. Vectors A and B both have positive y‑components, and make angles of α=42.4° and β=28.7° with the positive and negative x-axis, respectively. If the vector sum A+B+C=0, what are the magnitudes of A and B?
Chapter 3 Solutions
College Physics
Ch. 3.1 - The magnitudes of two vectors A and B are 12 units...Ch. 3.2 - Prob. 3.2QQCh. 3.2 - Prob. 3.3QQCh. 3.3 - Which of the following objects cant be...Ch. 3.3 - Consider the following controls in an automobile:...Ch. 3.4 - Suppose you are carrying a ball and running at...Ch. 3.4 - As a projectile moves in its parabolic path, where...Ch. 3 - A vector A has components Ax = 5.00 m and Ay =...Ch. 3 - Calculate (a) the x- and (b) y-components of the...Ch. 3 - Find (a) the x- and (b) y-components of R = 2A B...
Ch. 3 - A hiker walks from (x1, y1) = (4.00 km. 3.00 km)...Ch. 3 - A hiker walks 3.00 km north and then 4.00 km west,...Ch. 3 - A car is traveling east at 25.0 m/s when it turns...Ch. 3 - A skier leaves the end of a horizontal ski jump at...Ch. 3 - A catapult launches a large stone from ground...Ch. 3 - A cruise ship sails due north at 4.50 m/s while a...Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - As a projectile moves in its path, is there any...Ch. 3 - Construct motion diagrams showing the velocity and...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A ball is projected horizontally from the top of a...Ch. 3 - A spacecraft drifts through space at a constant...Ch. 3 - Determine which of the following moving objects...Ch. 3 - Two projectiles are thrown with the same initial...Ch. 3 - A ball is thrown upward in the air by a passenger...Ch. 3 - A projectile is launched at some angle to the...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A car moving around a circular track, with...Ch. 3 - As an apple tree is transported by a truck moving...Ch. 3 - Prob. 1PCh. 3 - Vector A has a magnitude of 8.00 units and makes...Ch. 3 - Vector A is 3.00 units in length and points along...Ch. 3 - Three displacements are A = 200 m due south, R =...Ch. 3 - A roller coaster moves 200 ft horizontally and...Ch. 3 - An airplane flies 200 km due west from city A to...Ch. 3 - A plane flies from base camp to lake A, a distance...Ch. 3 - A force F1, of magnitude 6.00 units acts on an...Ch. 3 - A man in a maze makes three consecutive...Ch. 3 - Prob. 10PCh. 3 - The magnitude of vector A is 35.0 units and points...Ch. 3 - A figure skater glides along a circular path of...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - A hiker starts at his camp and moves the following...Ch. 3 - A vector has an x-component of 25.0 units and a...Ch. 3 - A quarterback takes the ball from the line of...Ch. 3 - The eye of a hurricane passes over Grand Bahama...Ch. 3 - A map suggests that Atlanta is 730 miles in a...Ch. 3 - A commuter airplane starts from ar. airport and...Ch. 3 - The helicopter view in Figure P3.20 shows two...Ch. 3 - A novice golfer on the green takes three strokes...Ch. 3 - One of the fastest recorded pitches in major...Ch. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - A rock is thrown upward from the level ground in...Ch. 3 - The best leaper in the animal kingdom is the puma,...Ch. 3 - The record distance in the sport of throwing...Ch. 3 - A placekicker must kick a football from a point...Ch. 3 - From the window of a building, a ball is tossed...Ch. 3 - A brick is thrown upward from the top of a...Ch. 3 - An artillery shell is fired with an initial...Ch. 3 - A car is parked on a cliff overlooking the ocean...Ch. 3 - A fireman d = 50.0 m away from a burning building...Ch. 3 - A projectile is launched with an initial speed of...Ch. 3 - A playground is on the flat roof of a city school,...Ch. 3 - A jet airliner moving initially at 3.00 102 mi/h...Ch. 3 - A car travels due east with a speed of 50.0 km/h....Ch. 3 - A bolt drops from the ceiling of a moving train...Ch. 3 - A Coast Guard cutter detects an unidentified ship...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - Suppose a chinook salmon needs to jump a waterfall...Ch. 3 - A river has a steady speed of 0.500 m/s. A student...Ch. 3 - This is a symbolic version of Problem 29. A river...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - A moving walkway at an airport has a speed v1 and...Ch. 3 - How long does it take ail automobile traveling in...Ch. 3 - You can use any coordinate system you like to...Ch. 3 - A Nordic jumper goes off a ski jump at an angle of...Ch. 3 - In a local diner, a customer slides an empty...Ch. 3 - Towns A and B in Figure P3.35 are 80.0 km apart. A...Ch. 3 - A chinook salmon has a maximum underwater speed of...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - In a very popular lecture demonstration, a...Ch. 3 - Figure P3.60 illustrates the difference in...Ch. 3 - By throwing a ball at an angle of 45, a girl can...Ch. 3 - The equation of a parabola is y = ax2 + bx + c,...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A student derides to measure the muzzle velocity...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A dart gun is fired while being held horizontally...Ch. 3 - The determined Wile E. Coyote is out once more to...Ch. 3 - A truck loaded with cannonball watermelons stops...
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- A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardShow that (2arr+2brr)dt=ar2+br2+const. where r is the vector from the origin to the point (x1, x2, x3). The quantities r and r are the magnitudes of the vectors r and r, respectively, and a and b are constants.arrow_forwardThe magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.arrow_forward
- X is an unknown vector satisfying the following relations involving the known vectors A and B and the scalar ϕ, A × X = B, A · X = ϕ. Express X in terms of A, B, ϕ, and the magnitude of A.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_forwardWhat is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forward
- For the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)arrow_forwardFor what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?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_forward
- At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?arrow_forwardA vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardThe resultant vector R=2AB2C has zero magnitude. Vector A has an x component of 4.60 m and a y component of 12.1 m. and vector B has an x component of 3.00 m and a y component of 4.00 m. What are the x and y components of vector C? (All of these are two-dimensional vectors.)arrow_forward
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Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY