FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 4, Problem 75P
SSM A train travels due south at 30 m/s (relative to the ground) in a rain that is blown toward the south by the wind. The path of each raindrop makes an angle of 70° with the vertical, as measured by an observer stationary on the ground. An observer on the train, however, sees the drops fall perfectly vertically. Determine the speed of the raindrops relative to the ground.
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A train travels due south at 30 m/s (relative to the ground) in a rain that is blown toward the south by the wind. The path of each raindrop makes an angle of 70° with the vertical, as measured by an observer stationary on the ground.An observer on the train, however, sees the drops fall perfectly vertically. Determine the speed of the raindrops relative to the ground.
A robotic vehicle, or rover, is exploring the surface of Mars. The stationary Mars lander is the origin of coordinates, and the sur-rounding Martian surface lies in the xy-plane. The rover, which we x = 2.0 m - 10.25 m > s22t2represent as a point, has x- and y-coordinates that vary with time:y = 11.0 m > s2t + 10.025 m > s32t3(a) Find the rover’s coordinates and distance from the lander at t = 2.0 s. (b) Find the rover’s displacement and average velocity vectors for the interval t = 0.0 s to t = 2.0 s. (c) Find a general S. Express expression for the rover’s instantaneous velocity vector vS at t = 2.0 s in component form and in terms of magnitude and vdirection.
d) Find the instantaneous acceleration at t = 2.0 s.
e) a1 , t=1sec
a0 , t=0sec
A car travels due east with a speed of 39.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on
the side windows of the car make an angle of 61.0° with the vertical. Find the velocity of the rain with respect to the following reference frames.
(a) the car
(b) the Earth
Step 1
RC
RE
(a) To solve for the velocity of the rain relative to the car each moving relative to the Earth, we use the analogy of two objects moving relative to the
Earth, each with constant velocity. Let v be the velocity of the rain relative to the car, V the velocity of the rain relative to the Earth, and VCE the
velocity of the car relative to the Earth. Following the pattern of subscripts illustrated in the equation for two objects moving relative to the Earth, VAB =
V
VAE E-VBE we find that the velocity of the rain relative to the car is v
with x- and y-components given by the following equations.
CE
(VRC)X = (VRE)X - (VCE)X
RC) y = (VRE)y - (VCE)y
We…
Chapter 4 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 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 - An airplane flying horizontally at a constant...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. 1P
Ch. 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 - 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 - 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 - 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 - 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 - Suppose that a shot putter can put a shot at the...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 - GO In basketball, hang is an illusion in which a...Ch. 4 - Prob. 47PCh. 4 - SSM A football kicker can give the ball an initial...Ch. 4 - GO Two seconds after being projected from ground...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 - 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 - 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 - Prob. 81PCh. 4 - GO A 200-m-wide river has a uniform flow speed of...Ch. 4 - Prob. 83PCh. 4 - You are kidnapped by political-science majors who...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 - 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 - 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 - An iceboat sails across the surface of a frozen...Ch. 4 - Prob. 101PCh. 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 - 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 - The position vector r of a particle moving in the...Ch. 4 - Prob. 115PCh. 4 - Prob. 116PCh. 4 - Prob. 117PCh. 4 - Prob. 118PCh. 4 - Prob. 119PCh. 4 - Prob. 120PCh. 4 - Prob. 121PCh. 4 - Prob. 122PCh. 4 - Prob. 123PCh. 4 - Prob. 124PCh. 4 - Prob. 125PCh. 4 - Prob. 126PCh. 4 - Prob. 127PCh. 4 - Prob. 128P
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