Fundamentals of Physics Extended
Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 4, Problem 83P

A woman who can row a boat at 6.4 km/h in still water faces a long, straight river with a width of 6.4 km and a current of 3.2 km/h. Let i ^ point directly across the river and j ^ point directly downstream. If she rows in a straight line to a point directly opposite her starting position, (a) at what angle to i ^ must she point the boat and (b) how long will she take? (c) How long will she take if, instead, she rows 3.2 km down the river and then back to her starting point? (d) How long if she rows 3.2 km up the river and then back to her starting point? (e) At what angle to i ^ should she point the boat if she wants to cross the river in the shortest possible time? (f) How long is that shortest time?

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A woman who can row a boat at 6.4 km/h in still water faces a long, straight river with a width of 6.4 km and a current of 3.2 km/h. Let iˆ point directly across the river and ˆj point directly downstream. If she rows in a straight line to a point directly opposite her starting position, (a) at what angle to iˆ must she point the boat and (b) how long will she take? (c) How long will she take if, instead, she rows 3.2 km down the river and then back to her starting point? (d) How long if she rows 3.2 km up the river and then back to her starting point? (e) At what angle to iˆ should she point the boat if she wants to cross the river in the shortest possible time? (f) How long is that shortest time?
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Chapter 4 Solutions

Fundamentals of Physics Extended

Ch. 4 - Figure 4-28 shows four tracks either half- or...Ch. 4 - In Fig. 4-29, particle P is in uniform circular...Ch. 4 - a Is it possible to be accelerating while...Ch. 4 - While riding in a moving car, you toss an egg...Ch. 4 - A snowball is thrown from ground level by someone...Ch. 4 - You are driving directly behind a pickup truck,...Ch. 4 - At what point in the path of a projectile is the...Ch. 4 - In shot put, the shot is put thrown from above the...Ch. 4 - Prob. 1PCh. 4 - A watermelon seed has the following coordinates: x...Ch. 4 - A positron undergoes a displacement r = 2.0 i 3.0...Ch. 4 - The minute hand of a wall clock measures 10 cm...Ch. 4 - SSM A train at a constant 60.0 km/h moves east for...Ch. 4 - An electrons position is given by...Ch. 4 - An ions position vector is initially...Ch. 4 - A plane flies 483 km east from city A to city B in...Ch. 4 - Figure 4-30 gives the path of a squirrel moving...Ch. 4 - The position vector r=5.00ti+(et+ft2)j locates a...Ch. 4 - Prob. 11PCh. 4 - At one instant a bicyclist is 40.0 m due east of a...Ch. 4 - SSM A particle moves so that its position in...Ch. 4 - A proton initially has v=4.0i2.0j+3.0k and then...Ch. 4 - SSM ILW A particle leaves the origin with an...Ch. 4 - GO The velocity v of a particle moving in the xy...Ch. 4 - A cart is propelled over an xy plane with...Ch. 4 - A moderate wind accelerates a pebble over a...Ch. 4 - The acceleration of a particle moving only on a...Ch. 4 - GO In Fig. 4-32, particle A moves along the line y...Ch. 4 - A dart is thrown horizontally with an initial...Ch. 4 - A small ball rolls horizontally off the edge of a...Ch. 4 - A projectile is fired horizontally from a gun that...Ch. 4 - In the 1991 World Track and Field Championships in...Ch. 4 - The current world-record motorcycle jump is 77.0...Ch. 4 - A stone is catapulted at time t = 0, with an...Ch. 4 - ILW A certain airplane has a speed of 290.0 km/h...Ch. 4 - GO In Fig. 4-34, a stone is projected at a cliff...Ch. 4 - A projectiles launch speed is five times its speed...Ch. 4 - GO A soccer ball is kicked from the ground with an...Ch. 4 - In a jump spike, a volleyball player slams the...Ch. 4 - GO You throw a ball toward a wall at speed 25.0...Ch. 4 - SSM A plane, diving with constant speed at an...Ch. 4 - A trebuchet was a hurling machine built to attack...Ch. 4 - SSM A rifle that shoots bullets at 460 m/s is to...Ch. 4 - GO During a tennis match, a player serves the ball...Ch. 4 - SSM WWW A lowly high diver pushes off horizontally...Ch. 4 - A golf ball is struck at ground level. The speed...Ch. 4 - In Fig. 4-37, a ball is thrown leftward from the...Ch. 4 - Suppose that a shot putter can put a shot at the...Ch. 4 - GO Upon spotting an insect on a twig overhanging...Ch. 4 - In 1939 or 1940, Emanuel Zacchini took his human...Ch. 4 - ILW A ball is shot from the ground into the air....Ch. 4 - A baseball leaves a pitchers hand horizontally at...Ch. 4 - In Fig. 4-40, a ball is launched with a velocity...Ch. 4 - GO In basketball, hang is an illusion in which a...Ch. 4 - Prob. 47PCh. 4 - GO In Fig. 4-41, a ball is thrown up onto a roof,...Ch. 4 - SSM A football kicker can give the ball an initial...Ch. 4 - GO Two seconds after being projected from ground...Ch. 4 - A skilled skier knows to jump upward before...Ch. 4 - A ball is to be shot from level ground toward a...Ch. 4 - GO In Fig. 4-44, a baseball is hit at a height h =...Ch. 4 - GO A ball is to be shot from level ground with a...Ch. 4 - SSM A ball rolls horizontally off the top of a...Ch. 4 - An Earth satellite moves in a circular orbit 640...Ch. 4 - A carnival merry-go-round rotates about a vertical...Ch. 4 - A rotating fan completes 1200 revolutions every...Ch. 4 - ILW A woman rides a carnival Ferris wheel at...Ch. 4 - A centripetal-acceleration addict rides in uniform...Ch. 4 - When a large star becomes a supernova, its core...Ch. 4 - What is the magnitude of the acceleration of a...Ch. 4 - GO At t1 = 2.00 s, the acceleration of a particle...Ch. 4 - GO A particle moves horizontally in uniform...Ch. 4 - A purse at radius 2.00 m and a wallet at radius...Ch. 4 - A particle moves along a circular path over a...Ch. 4 - SSM WWW A boy whirls a stone in a horizontal...Ch. 4 - GO A cat rides a merry-go-round turning with...Ch. 4 - A cameraman on a pickup truck is traveling...Ch. 4 - A boat is traveling upstream in the positive...Ch. 4 - A suspicious-looking man runs as fast as he can...Ch. 4 - A rugby player runs with the ball directly toward...Ch. 4 - Two highways intersect as shown in Fig. 4-46. At...Ch. 4 - After flying for 15 min in a wind blowing 42 km/h...Ch. 4 - SSM A train travels due south at 30 m/s relative...Ch. 4 - A light plane attains an airspeed of 500 km/h. The...Ch. 4 - SSM Snow is falling vertically at a constant speed...Ch. 4 - In the overhead view of Fig. 4-47, Jeeps P and B...Ch. 4 - SSM ILW Two ships, A and B, leave port at the same...Ch. 4 - GO A 200-m-wide river flows due east at a uniform...Ch. 4 - GO Ship A is located 4.0 km north and 2.5 km east...Ch. 4 - GO A 200-m-wide river has a uniform flow speed of...Ch. 4 - A woman who can row a boat at 6.4 km/h in still...Ch. 4 - In Fig. 4-48a, a sled moves in the negative x...Ch. 4 - You are kidnapped by political-science majors who...Ch. 4 - A radar station detects an airplane approaching...Ch. 4 - SSM A baseball is hit at ground level. The ball...Ch. 4 - Long flights at midlatitudes in the Northern...Ch. 4 - SSM A particle starts from the origin at t = 0...Ch. 4 - At what initial speed must the basketball player...Ch. 4 - During volcanic eruptions, chunks of solid rock...Ch. 4 - An astronaut is rotated in a horizontal centrifuge...Ch. 4 - SSM Oasis A is 90 km due west of oasis B. A desert...Ch. 4 - Curtain of death. A large metallic asteroid...Ch. 4 - Figure 4-53 shows the straight path of a particle...Ch. 4 - For womens volleyball the top of the net is 2.24 m...Ch. 4 - SSM A rifle is aimed horizontally at a target 30 m...Ch. 4 - A particle is in uniform circular motion about the...Ch. 4 - In Fig. 4-54, a lump of wet putty moves in uniform...Ch. 4 - An iceboat sails across the surface of a frozen...Ch. 4 - In Fig. 4-55, a ball is shot directly upward from...Ch. 4 - A magnetic field forces an electron to move in a...Ch. 4 - In 3.50 h, a balloon drifts 21.5 km north, 9.70 km...Ch. 4 - A ball is thrown horizontally from a height of 20...Ch. 4 - A projectile is launched with an initial speed of...Ch. 4 - The position vector for a proton is initially...Ch. 4 - A particle P travels with constant speed on a...Ch. 4 - The fast French train known as the TGV Train ...Ch. 4 - a If an electron is projected horizontally with a...Ch. 4 - A person walks up a stalled 15-m-long escalator in...Ch. 4 - a What is the magnitude of the centripetal...Ch. 4 - The range of a projectile depends not only on v0...Ch. 4 - Figure 4-57 shows the path taken by a drunk skunk...Ch. 4 - The position vector r of a particle moving in the...Ch. 4 - An electron having an initial horizontal velocity...Ch. 4 - An elevator without a ceiling is ascending with a...Ch. 4 - A football player punts the football so that it...Ch. 4 - An airport terminal has a moving sidewalk to speed...Ch. 4 - Prob. 119PCh. 4 - A sprinter running on a circular track has a...Ch. 4 - Suppose that a space probe can withstand the...Ch. 4 - GO You are to throw a ball with a speed of 12.0...Ch. 4 - A projectile is fired with an initial speed v0 =...Ch. 4 - A graphing surprise. At time t = 0, a burrito is...Ch. 4 - A cannon located at sea level fires a ball with...Ch. 4 - The magnitude of the velocity of a projectile when...Ch. 4 - A frightened rabbit moving at 6.00 m/s due east...Ch. 4 - The pilot of an aircraft flies due east relative...Ch. 4 - The pitcher in a slow-pitch softball game releases...Ch. 4 - Some state trooper departments use aircraft to...Ch. 4 - A golfer tees off from the top of a rise, giving...Ch. 4 - A track meet is held on a planet in a distant...Ch. 4 - A helicopter is flying in a straight line over a...Ch. 4 - A car travels around a flat circle on the ground,...Ch. 4 - You throw a ball from a cliff with an initial...Ch. 4 - A baseball is hit at Fenway Park in Boston at a...Ch. 4 - A transcontinental flight of 4350 km is scheduled...Ch. 4 - A woman can row a boat at 6.40 km/h in still...
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