Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 5.3, Problem 5.3GI
You whirl a bucket of water around in a vertical circle and the water doesn’t fall out. A Newtonian explanation of why the water doesn’t fall out is that (a) the
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NASA's KC-135 Reduced Gravity Research aircraft, affectionately known as the "Vomit Comet," is used in training astronauts and testing equipment for microgravity environments. During a typical mission, the
aircraft makes approximately 30 to 40 parabolic arcs. During each arc, the aircraft and objects inside it are in free-fall, and passengers float freely in apparent "weightlessness."
The figure below shows the altitude of the aircraft during a typical mission. It climbs from 24,000 ft to 31,600 ft, where it begins a parabolic arc with a velocity of 150 m/s at 45.0° nose-high and exits with
velocity 150 m/s at 45.0° nose-low.
Altitude (ft)
31 000
24 000
45° nose high
0
Zero g
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45° nose low
Maneuver time (s)
(a) What is the aircraft's speed (in m/s) at the top of the parabolic arc?
m/s
(c) What is the time (in s) spent in microgravity?
65
(b) What is the aircraft's altitude (in ft) at the top of the parabolic arc?
ft
4:00
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In the figure, a square of edge length 16.0 cm
is formed by four spheres of masses m₁ = 5.20
g, m₂ = 3.00 g, m3 = 0.600 g, and m4 = 5.20 g. In
unit-vector notation, what is the net
gravitational force from them on a central
sphere with mass m5 = 2.90 g?
MI
M5
0/1
-X
i +
Attempts: unlimited
m₂
MA
-NM
MO
5G 56%
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In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?
Chapter 5 Solutions
Essential University Physics
Ch. 5.1 - A roofers toolbox rests on an essentially How does...Ch. 5.2 - In the figure below weve replaced one of the hands...Ch. 5.3 - You whirl a bucket of water around in a vertical...Ch. 5.4 - The figure shows a logging vehicle pulling a...Ch. 5 - The force of static friction acts only between...Ch. 5 - A jet plane flies at constant speed in a vertical...Ch. 5 - In cross-country skiing, skis should easily glide...Ch. 5 - Why do airplanes bank when turning?Ch. 5 - Why is it easier for a child to stand nearer the...Ch. 5 - Gravity pulls a satellite toward Earths center. So...
Ch. 5 - Explain why a car with ABS brakes can have a...Ch. 5 - A fishing line has a 20-lb breaking strength. Is...Ch. 5 - Youre on a plane undergoing a banked turn, so...Ch. 5 - A backcountry skier weighing 700 N skis down a...Ch. 5 - Two forces, both in the x-y plane, act on a...Ch. 5 - Two forces act on a 3.1-kg mass that undergoes...Ch. 5 - At what angle should you tilt an air table to...Ch. 5 - A skier starts from rest at the top of a 24 slope...Ch. 5 - Studies of gymnasts show that their high rate of...Ch. 5 - Find the minimum slope angle for which the skier...Ch. 5 - Section 5.2 Multiple Objects Your 12-kg baby...Ch. 5 - Suppose the angles shown in Fig. 5.30 are 60 and...Ch. 5 - Two unfortunate climbers, roped together, are...Ch. 5 - Suppose the Moon were held in its orbit not by...Ch. 5 - Show that the force needed to keep a mass m in a...Ch. 5 - A 940-g rock is whirled in a horizontal circle at...Ch. 5 - Youre investigating a subway accident in which a...Ch. 5 - A tetherball on a 1.55-m rope is struck so that it...Ch. 5 - An airplane goes into a turn 3.6 km in radius. If...Ch. 5 - Movers slide a 73-kg file cabinet along a floor...Ch. 5 - A hockey puck is given an initial speed of 14 m/s....Ch. 5 - Starting from rest, a skier slides 100 m down a 28...Ch. 5 - A curve on a flat road has curvature radius 115 m,...Ch. 5 - Prob. 30ECh. 5 - Example 5.4: A 63.2-kg climber finds herself...Ch. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Example 5.7: A roller-coaster car is going at 17.7...Ch. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - Prob. 38PCh. 5 - A block is launched with initial speed 2.2 m/s up...Ch. 5 - In the process of mitosis (cell division), two...Ch. 5 - A 14.6-kg monkey hangs from the middle of a...Ch. 5 - A camper hangs a 26-kg pack between two trees...Ch. 5 - A mass m, undergoes circular motion of radius R on...Ch. 5 - Patients with severe leg breaks arc often placed...Ch. 5 - Riders on the Great American Revolution...Ch. 5 - A 45-kg skater rounds a 5.0-m-radius turn at 6.3...Ch. 5 - When a piano turns, it banks as shown in Fig. 5.35...Ch. 5 - You whirl a bucket of water in a vertical circle...Ch. 5 - A child sleds down an 8.5 slope at constant speed....Ch. 5 - The handle of a 22-kg lawnmower makes a 35 angle...Ch. 5 - Repeal Example 5.4, now assuming that the...Ch. 5 - A bat crashes into the vertical front of an...Ch. 5 - The coefficient of static friction between steel...Ch. 5 - A bug crawls outward from the center of a CD...Ch. 5 - A 310-g paperback book rests on a 1.2-kg textbook....Ch. 5 - Children sled down a41-m-long hill inclined at 25....Ch. 5 - In a typical front-wheel-drive car, 70% of the...Ch. 5 - A police officer investigating an accident...Ch. 5 - A slide inclined at 35 takes bathers into a...Ch. 5 - You try to move a heavy trunk, pushing down and...Ch. 5 - A block is shoved up a 22 slope with an initial...Ch. 5 - Prob. 62PCh. 5 - Youre in traffic court, arguing against a speeding...Ch. 5 - A space station is in the shape of a hollow ring,...Ch. 5 - In a loop-the-loop roller coaster, show that a car...Ch. 5 - Find an expression for the minimum frictional...Ch. 5 - An astronaut is training in an earthbound...Ch. 5 - Prob. 68PCh. 5 - Driving in thick fog on a horizontal road, you...Ch. 5 - A block is projected up an incline at angle . It...Ch. 5 - A 2.1-kg mass is connected to a spring with spring...Ch. 5 - A car moving at 77 km/h negotiates a 95-m-radius...Ch. 5 - Moving through a liquid, an object of mass m...Ch. 5 - A block is launched with speed v0 up a slope...Ch. 5 - A florist asks you to make a window display with...Ch. 5 - Figure 5.39 shows an apparatus used to verify...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - The tilt angle θ that the skater’s body makes with...
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