Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3FTD
Repeat Question 2 for three vectors.
2. Can two vectors of equal magnitude sum to zero? How about two vectors of unequal magnitude?
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A crate with a mass of 74.0 kg is pulled up an inclined surface by an attached cable, which is driven by a motor. The crate moves a distance of 70.0 m along the surface at a constant speed of 3.3 m/s. The surface is inclined at an angle of 30.0° with the horizontal. Assume friction is
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(a) How much work (in kJ) is required to pull the crate up the incline?
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A 1.40-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v₁ = 3.50 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been
compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e).
d
m
v=0
-D- www
(a) Find the distance of compression d (in m).
m
(b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d).
m/s
(c) Find the distance D (in m) where the object comes to rest.
m
(d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to…
Chapter 3 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 3.1 - Which vector describes a displacement of 10 units...Ch. 3.2 - An object is accelerating downward. Which, if any,...Ch. 3.3 - An airplane is making a 500-km trip directly north...Ch. 3.4 - An object is moving initially in the +x-direction....Ch. 3.5 - Two projectiles are launched simultaneously from...Ch. 3.6 - An object moves in a horizontal plane with...Ch. 3 - Under what conditions is the magnitude of the...Ch. 3 - Can two vectors of equal magnitude sum to zero?...Ch. 3 - Repeat Question 2 for three vectors. 2. Can two...Ch. 3 - Can an object have a southward acceleration while...
Ch. 3 - Youre a passenger in a car rounding a curve. The...Ch. 3 - In what sense is Equation 3.8 really two (or...Ch. 3 - Is a projectiles speed constant throughout its...Ch. 3 - Is there any point on a projectiles trajectory...Ch. 3 - How is it possible for an object to be moving in...Ch. 3 - Youre in a bus moving with constant velocity on a...Ch. 3 - Which of the following are legitimate mathematical...Ch. 3 - You would probably reject as unscientific any...Ch. 3 - You walk west 220 m, then north 150 m. What are...Ch. 3 - An ion in a mass spectrometer follows a...Ch. 3 - A migrating whale follows the west coast of Mexico...Ch. 3 - Vector A has magnitude 3.0 m and points to the...Ch. 3 - Use unit vectors to express a displacement of 120...Ch. 3 - Find the magnitude of the vector 34 + 13 m and...Ch. 3 - (a) Whats the magnitude of + ? (b) What angle...Ch. 3 - Youre leading an international effort to save...Ch. 3 - An object is moving at 18 m/s at 220...Ch. 3 - A car drives north at 40 mi/h for 10 min, then...Ch. 3 - An objects velocity is v = ct3 + d, where t is...Ch. 3 - A car, initially going eastward, rounds a 90 curve...Ch. 3 - What are (a) the average velocity and (b) the...Ch. 3 - An ice skater is gliding along at 2.4 m/s, when...Ch. 3 - An object is moving in the x-direction at 1.3 m/s...Ch. 3 - Youre a pilot beginning a 1500-km flight. Your...Ch. 3 - You wish to row straight across a 63-m-wide river....Ch. 3 - A plane with airspeed 370 km/h flies...Ch. 3 - A flock of geese is attempting to migrate due...Ch. 3 - The position of an object as a function of time is...Ch. 3 - Youre sailboarding at 6.5 m/s when a wind gust...Ch. 3 - You toss an apple horizontally at 8.7 m/s from a...Ch. 3 - A carpenter tosses a shingle horizontally off an...Ch. 3 - An arrow fired horizontally at 41 m/s travels 23 m...Ch. 3 - Droplets in an ink-jet printer are ejected...Ch. 3 - Protons drop 1.2 m over the 1.7-km length of a...Ch. 3 - If you can hit a golf ball 180 m on Earth, how far...Ch. 3 - Chinas high-speed rail network calls for a minimum...Ch. 3 - The minute hand of a clock is 7.50 cm long. Find...Ch. 3 - How fast would a car have to round a 75-m-radius...Ch. 3 - Estimate the acceleration of the Moon, which...Ch. 3 - Global Positioning System (GPS) satellites circle...Ch. 3 - Two vectors A and B have the same magnitude A and...Ch. 3 - Prob. 46PCh. 3 - Let A = 15 40 and B = 31 + 18k. Find C such that...Ch. 3 - A biologist looking through a microscope sees a...Ch. 3 - A particles position is r = (ct2 2dt3) + (2ct2 ...Ch. 3 - For the particle in Problem 49, is there any time...Ch. 3 - Youre designing a cloverleaf highway interchange....Ch. 3 - An object undergoes acceleration 2.3 + 3.6 m/s2...Ch. 3 - The New York Wheel is the worlds largest Ferris...Ch. 3 - A ferryboat sails between towns directly opposite...Ch. 3 - The sum of two vectors, A + B, is perpendicular to...Ch. 3 - Write an expression for a unit vector at 45...Ch. 3 - An object is initially moving in the .x-direction...Ch. 3 - A particle leaves the origin with its initial...Ch. 3 - A kid fires a squirt gun horizontally from 1.6 m...Ch. 3 - A projectile has horizontal range R on level...Ch. 3 - You throw a baseball at a 45 angle to the...Ch. 3 - In a chase scene, a movie stuntman runs...Ch. 3 - Standing on the ground 3.0 m from a building, you...Ch. 3 - Derive a general formula for the horizontal...Ch. 3 - Consider two projectiles launched on level ground...Ch. 3 - You toss a protein bar to your hiking companion...Ch. 3 - The table below lists position versus time for an...Ch. 3 - A projectile launched at angle to the horizontal...Ch. 3 - As an expert witness, youre testifying in a case...Ch. 3 - Show that, for a given initial speed, the...Ch. 3 - A basketball player is 15 ft horizontally front...Ch. 3 - Two projectiles are launched simultaneously from...Ch. 3 - Consider the two projectiles in GOT IT? 3.5....Ch. 3 - The portion of a projectiles parabolic trajectory...Ch. 3 - A jet is diving vertically downward at 1200 km/h....Ch. 3 - Your alpine rescue team is using a slingshot to...Ch. 3 - If you can throw a stone straight up to height h....Ch. 3 - In a conversion from military to peacetime use, a...Ch. 3 - A soccer player can kick the ball 28 m on level...Ch. 3 - A diver leaves a 3-m board on a trajectory that...Ch. 3 - Prob. 81PCh. 3 - You're a consulting engineer specializing in...Ch. 3 - Differentiate the trajectory Equation 3.14 to find...Ch. 3 - Your medieval history class is constructing a...Ch. 3 - Generalize Problem 84 to find an expression for...Ch. 3 - (a) Show that the position of a particle on a...Ch. 3 - In dealing with nonuniform circular motion, as...Ch. 3 - Repeat Problem 87, now generalizing to the case...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...
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