College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 3, Problem 23PE
In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.50 km 45.0° north of west; then 4.70 km 60.0° south of east; then 1.30 km 25.0° south of west; then 5.10 km straight east; then 1.70 km 5.00° east of north; then 7.20 km 55.0° south of west; and finally 2.80 km 10.0° north of east. What is his final position relative to the island?
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In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0° north of west, then 4.70 km and 60.0° south of east, then 1.30 km and 25.0° south of west, then 5.10 km due east, then 1.70 km and 5.00° east of north, then 7.20 km and 55.0° south of west, and finally 2.80 km and 10.0° north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
What is the sum of the following four vectors in unit vector notation and as a magnitude and angle?
A= (3.00 m) i+(5.00 m) j B:3.00 m, at +178.0°
C= (4.00 m) i+(−2.00 m) j D:4.00 m, at −28.0°
Chapter 3 Solutions
College Physics
Ch. 3 - Which of the following is a vector: a person's...Ch. 3 - Give a specific example of a vector, stating its...Ch. 3 - What do vectors and scalars have in common? How do...Ch. 3 - Two calipers in a national park hike from their...Ch. 3 - If an airplane plot is told to fly 123 km in a...Ch. 3 - Suppose you take two steps A and B (that is, two...Ch. 3 - Explain why it is not possible to add a scalar to...Ch. 3 - If you take two steps of different sizes, can you...Ch. 3 - Suppose you add two vectors A and B. What relative...Ch. 3 - Give an example of a nonzero vector that has a...
Ch. 3 - Explain why a vector cannot have a component...Ch. 3 - If the vectors A and B are perpendicular, what is...Ch. 3 - Answer the following questions for projectile...Ch. 3 - Answer the following questions for projectile...Ch. 3 - For a fixed initial speed, the range of a...Ch. 3 - During a lecture demonstration, a professor places...Ch. 3 - What frame or frames of reference do you...Ch. 3 - A basketball player dribbling clown the court...Ch. 3 - If someone riding in the back of a pickup truck...Ch. 3 - The hat of a jogger running at constant velocity...Ch. 3 - A clod of dirt falls from the bed of a moving...Ch. 3 - Find the following for path A in Figure 3.54: (a)...Ch. 3 - Find the following for path B in Figure 3.54: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Suppose you walk 18.0 m straight west and then...Ch. 3 - Suppose you first walk 12.0 m in a direction 20°...Ch. 3 - Repeat the problem above, but reverse the order of...Ch. 3 - (a) Repeat the problem two problems prior, but for...Ch. 3 - Show that the order of addition of three vectors...Ch. 3 - Show that the sum of the vectors discussed in...Ch. 3 - Find the magnitudes of velocity vAand vBin figure...Ch. 3 - Find the components of vtot along the x- and...Ch. 3 - Find the components of vtot along a set of...Ch. 3 - Find the following for path C in Figure 3.58: (a)...Ch. 3 - Find the following for path D in Figure 3.58: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Solve the following problem using analytical...Ch. 3 - Repeat Exercise 3.16 using analytical techniques,...Ch. 3 - You drive 7.50 km in a straight line in a...Ch. 3 - Do Exercise 3.16 again using analytical techniques...Ch. 3 - A new landowner has a triangular piece of flat...Ch. 3 - You fly 32.0 km in a straight line in still air in...Ch. 3 - A farmer wants to fence off his four-sided plot of...Ch. 3 - In an attempt to escape his island, Gilligan...Ch. 3 - Suppose a pilot flies 40.0 km in a direction 60°...Ch. 3 - A projectile is launched at ground level with an...Ch. 3 - A ball is kicked with an initial velocity of 16...Ch. 3 - A ball is thrown horizontally from the top of a...Ch. 3 - (a) A daredevil is attempting to jump his...Ch. 3 - An archer shoots an arrow at a 75.0 m distant...Ch. 3 - A rugby player passes the ball 7.00 m across the...Ch. 3 - Verify the ranges for the projectiles in Figure...Ch. 3 - Verity the ranges shown for the projectiles in...Ch. 3 - The cannon on a battleship can fire a shell a...Ch. 3 - An arrow is shot from a height of 1.5 m toward a...Ch. 3 - In the standing broad jump, one squats and then...Ch. 3 - The world long jump record is 8.95 m (Mike Powell,...Ch. 3 - Serving at a speed of 170 km/h, a tennis player...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - Gun sights are adjusted to aim high to compensate...Ch. 3 - An eagle is flying horizontally at a speed of 3.00...Ch. 3 - An owl is carrying a mouse to the chicks in its...Ch. 3 - Suppose a soccer player kicks the ball from a...Ch. 3 - Can a goalkeeper at her/ his goal kick a soccer...Ch. 3 - The free throw line in basketball is 4.57 m (15...Ch. 3 - In 2007, Michael Carter (U.S.) set a world record...Ch. 3 - A basketball player is running at 5.00 m/s...Ch. 3 - A football player punts the ball at a 45.0° angle....Ch. 3 - Prove that the trajectory of a projectile is...Ch. 3 - Derive R=v02sin20g for the range of a projectile...Ch. 3 - Unreasonable Results (a) Find the maximum range of...Ch. 3 - Construct Your Own Problem Consider a ball tossed...Ch. 3 - Bryan Allen pedaled a human-powered aircraft...Ch. 3 - A seagull flies at a velocity of 9.00 m/s straight...Ch. 3 - Near the end of a marathon race, the first two...Ch. 3 - Verity that the coin dropped by the airline...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - A ship sets sail from Rotterdam, The Netherlands,...Ch. 3 - (a) A jet airplane flying from Darwin, Australia,...Ch. 3 - (a) In what direction would the ship in Exercise...Ch. 3 - (a) Another airplane is flying in a jet stream...Ch. 3 - A sandal is dropped from the top of a 15.0-m-high...Ch. 3 - The velocity of the wind relative to the water is...Ch. 3 - The great astronomer Edwin Hubble discovered that...Ch. 3 - (a) Use the distance and velocity data in Figure...Ch. 3 - An athlete crosses a 25-m-wide river by swimming...Ch. 3 - A ship sailing in the Gulf Stream is heading 25.0°...Ch. 3 - An ice hockey player is moving at 8.00 m/s when he...Ch. 3 - Unreasonable Results Suppose you wish to shoot...Ch. 3 - Unreasonable Results A commercial airplane has an...Ch. 3 - Construct Your Own Problem Consider an airplane...
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