Fundamentals Of Physics - Volume 1 Only
11th Edition
ISBN: 9781119306856
Author: Halliday
Publisher: WILEY
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Chapter 4, Problem 64P
GO A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one instant, it moves through the point at coordinates (4.00 m, 4.00 m) with a velocity of
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4B. Four electrons are located on the corners of a square, one on each corner, with the sides of the square being 25 cm long. a) Draw a sketch of the scenario and use your sketch to b) Determine the total force (magnitude and direction) on one of the electrons from the other three?
Portfolio Problem 3. A ball is thrown vertically upwards with a speed vo
from the floor of a room of height h. It hits the ceiling and then returns to the
floor, from which it rebounds, managing just to hit the ceiling a second time.
Assume that the coefficient of restitution between the ball and the floor, e, is
equal to that between the ball and the ceiling. Compute e.
Portfolio Problem 4. Consider two identical springs, each with natural length
and spring constant k, attached to a horizontal frame at distance 2l apart. Their
free ends are attached to the same particle of mass m, which is hanging under
gravity. Let z denote the vertical displacement of the particle from the hori-
zontal frame, so that z < 0 when the particle is below the frame, as shown in
the figure. The particle has zero horizontal velocity, so that the motion is one
dimensional along z.
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(a) Show that the total force acting on the particle is
X
F-mg k-2kz 1
(1.
l
k.
(b) Find the potential energy U(x, y, z) of the system such that U
x = : 0.
= O when
(c) The particle is pulled down until the springs are each of length 3l, and then
released. Find the velocity of the particle when it crosses z = 0.
Chapter 4 Solutions
Fundamentals Of Physics - Volume 1 Only
Ch. 4 - Figure 4-21 shows the path taken by a skunk...Ch. 4 - Prob. 2QCh. 4 - When Paris was shelled from 100 km away with the...Ch. 4 - You are to launch a rocket, from just above the...Ch. 4 - Figure 4-23 shows three situations in which...Ch. 4 - The only good use of a fruitcake is in catapult...Ch. 4 - An airplane flying horizontally at a constant...Ch. 4 - In Fig. 4-25, a cream tangerine is thrown up past...Ch. 4 - Figure 4-26 shows three paths for a football...Ch. 4 - A ball is shot from ground level over level ground...
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 - Prob. 16PCh. 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 - Prob. 41PCh. 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 - Prob. 52PCh. 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 - Prob. 113PCh. 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 - Prob. 124PCh. 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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