Solutions for University Physics Volume 1
Problem 2.1CYU:
Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the...Problem 2.2CYU:
Check Your Understanding A cave diver enters a tong underwater tunnel. When her displacement with...Problem 2.3CYU:
Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...Problem 2.4CYU:
Check your Understanding A blue fly lands on a sheet of graph paper a point located 10.0 cm to the...Problem 2.5CYU:
Check Your Understanding If the displacement vector of a blue fly walking on a sheet of graph paper...Problem 2.6CYU:
Check Your Understanding If Trooper runs 20 m west before taking a rest, what is his displacement...Problem 2.7CYU:
Check Your Understanding If the average velocity vector of the drone In the displacement in Example...Problem 2.8CYU:
Check Your understanding Three displacement vectors A , B , and F in (Figure 2.13) are specified by...Problem 2.9CYU:
Check Your Understanding Suppose that Balto in Example 2.10 leaves the game to attend to more...Problem 2.10CYU:
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...Problem 2.11CYU:
Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and FC ....Problem 2.12CYU:
Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through...Problem 2.14CYU:
Check Your Understanding How much work is done by the first dog and by the second dog In Example...Problem 2.15CYU:
Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF ....Problem 2.16CYU:
Check Your Understanding Given two vectors and , find (a) (b) (c) the angle between and , and (d)...Problem 1CQ:
Scalars and Vectors A weather forecast states the temperature is predicted to be 5Cthe following...Problem 2CQ:
Which of the following is a vector a person’s height, the altitude on Mt. Everest, the velocity of a...Problem 5CQ:
Suppose you add two vectors A and B . What relative direction between them produces the resultant...Problem 7CQ:
Is it possible for two vectors of different magnitudes to add to zero? Is it possible for three...Problem 9CQ:
When a 10,000-rn runner competing on a 400-rn track crosses the finish line, what is the runner’s...Problem 11CQ:
Can a magnitude of a vector be negative?Problem 13CQ:
If two vectors are equal, what can you say about their components? What can you say about their...Problem 18CQ:
If vectors A and B are orthogonal, what is the component of B along the direction of A ? What Is the...Problem 19CQ:
If one of the two components of a vector is not zero, can the magnitude of the other vector...Problem 21CQ:
What is wrong with the following expressions? How can you correct them? (a) C=AB , (b) C=AB , (c)...Problem 22CQ:
If the cross product of two vectors vanishes, what can you say about their directions?Problem 24CQ:
What is the dot product of a vector with the cross product that this vector has with another vector?Problem 25P:
A scuba diver makes a slow descent into the depths of the ocean. His vertical position with respect...Problem 26P:
In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...Problem 27P:
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your...Problem 28P:
For the vectors given in the following figure, use a graphical method to find the following...Problem 29P:
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast,...Problem 30P:
An adventurous dog strays from home, runs three blocks east, two blocks north, one block east, two...Problem 31P:
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...Problem 32P:
A small plane flies 40.0 km in a direction 60 north of east and then files 30.0 km in a direction 15...Problem 33P:
A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following...Problem 34P:
A surveyor measures the distance across a river that flows straight north by the following method....Problem 35P:
A pedestrian walks 6.0 km east and then 13.0 km north. Use a graphical method to find the...Problem 36P:
The magnitudes of two displacement vectors are A=20mand B=6m . What are the largest and the smallest...Problem 37P:
Assuming the +x -axis is horizontal and points to the tight, resolve the vectors given In the...Problem 38P:
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your...Problem 39P:
You drive 7.50 km in a straight line in a direction 15 east of north. (a) Find the distance you...Problem 40P:
A sledge is being pulled by two horses on a flat terrain. The net force on the sledge can be...Problem 41P:
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the...Problem 42P:
The polar coordinates of a point are 4/3and 5.50 m. What are its Cartesian coordinates?Problem 43P:
Two points in a plane have polar coordinates P1(2.500m,/6) and P2(3.800m,2/3). Determine their...Problem 44P:
A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the...Problem 45P:
Two points in the Cartesian plane are A(2.00m,4.00m) and B(-3.00m,3.00m) . Find the distance between...Problem 46P:
A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with...Problem 47P:
For vectors and , calculate (a) and its magnitude and direction angle, and (b) and its magnitude and...Problem 48P:
A particle undergoes three consecutive displacements given by vectors , and . (a) Find the resultant...Problem 49P:
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the...Problem 50P:
A small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15...Problem 51P:
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...Problem 52P:
Assuming the +x -axis is horizontal to the right for the vectors given in the following figure, use...Problem 53P:
Given the vectors in the preceding figure, find vector Rthat solves equations (a) D+R=Fand (b)...Problem 54P:
A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,...Problem 55P:
An adventurous dog strays from home, runs three blocks east, two blocks north, and one block east,...Problem 58P:
Find the unit vector of direction for the following vector quantities: (a) Force , displacement ,...Problem 59P:
At one point in space, the direction of the electric field vector Is given In the Cartesian system...Problem 60P:
A barge is pulled by the two tugboats shown in the following figure. One tugboat pulls on the barge...Problem 61P:
In the control tower at a regional airport, an air traffic controller monitors two aircraft as their...Problem 62P:
Assuming the axis is horizontal to the right for the vectors in the following figure, find the...Problem 63P:
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...Problem 64P:
Find the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m...Problem 65P:
Find the angles that vector makes with the and axes.Problem 67P:
Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the...Problem 69P:
For the vectors in the earlier figure, find (a) (AF)D , (b) (AF)(DB) , and (c) (AF)(DB) .Problem 70P:
(a) If AF=BF , can we conclude A=B ? (b) If AF=BF , can we conclude A=B ? (c) If FA=BF , can we...Problem 71AP:
You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the...Problem 72AP:
Rectangular coordinates of a point are given by (2,y) and its polar coordinates are given by (r,/6)...Problem 73AP:
If the polar coordinates of a point are (r,)and its rectangular coordinates are (x,y) , determine...Problem 75AP:
Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two...Problem 76AP:
An air traffic controller notices two signals from two planes on the radar monitor. One plane is at...Problem 78AP:
Four force vectors each have the same magnitude f.What is the largest magnitude the resultant force...Problem 79AP:
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts...Problem 80AP:
A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an...Problem 81AP:
If the velocity vector of a polar bear is u=(-18.0 i -13.0 j)km/h , how fast and in what geographic...Problem 82AP:
Find the scalar components of three-dimensional vectors G and H in the following figure and write...Problem 83AP:
A diver explores a shallow reef off the coast of Belize. She initially swims 90.0 m north, makes a...Problem 84AP:
A force vector A has x and y components, respectively, of -8.80 units of force and 15.00 units of...Problem 85AP:
Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If...Problem 86AP:
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .Problem 87AP:
Show that (BC)A is the volume of the parallelepiped, with edges formed by the three vectors in the...Problem 88CP:
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when...Problem 89CP:
What is the component of the force vector G=(3.0 i+4.0 j+10.0 k)N along the force vector H=(1.0...Browse All Chapters of This Textbook
Chapter 1 - Units And MeasurementChapter 2 - VectorsChapter 3 - Motion Along A Straight LineChapter 4 - Motion In Two And Three DimensionsChapter 5 - Newton's Law Of MotionChapter 6 - Applications Of Newton's LawsChapter 7 - Work And Kinetic EnergyChapter 8 - Potential Energy And Conservation Of EnergyChapter 9 - Linear Momentum And CollisionsChapter 10 - Fixed-axis Rotation
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