University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 2, Problem 26P
In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
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In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the right, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the right, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
the following example is given:
vector1 =+(60.0N)i+(103.9N)j
vector2 =+(75.2N)i−(27.4N)j
vector 3=−(100.0N)i+(0.0N)j
vecor net =+(35.2N)i+(76.5N)j
Convert this net force to polar coordinates; that is, find the total vector magnitude and angle.
If three forces, 1 , 2 , and 3 , are in equilibrium, what is the relationship between the sum of the first two forces and the third force? Write your answer as an equation.
onsider the vector = −(51.7 N)i + (63.9 N)j
(a) Convert this value to polar coordinates (magnitude and angle).
(b) When converting this to polar coordinates, what answer does your calculator give
you for the angle of the vector? Explain whether this is correct or not (including the correct angle if applicable).
Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with a force of 94.5 N,94.5 N, Jill pulls with 88.1 N88.1 N in the northeast direction, and Jane pulls to the southeast with 181 N.181 N. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?)
Find the magnitude of the net force the people exert on the donkey.
What is the direction of the net force? Express this as the angle from the east direction between 0°0° and 90°,90°, with a positive sign for north of east and a negative sign for south of east.
Chapter 2 Solutions
University Physics Volume 1
Ch. 2 - Check Your Understanding Two motorboats named...Ch. 2 - Check Your Understanding A cave diver enters a...Ch. 2 - Check Your understanding Using the three...Ch. 2 - Check your Understanding A blue fly lands on a...Ch. 2 - Check Your Understanding If the displacement...Ch. 2 - Check Your Understanding If Trooper runs 20 m west...Ch. 2 - Check Your Understanding If the average velocity...Ch. 2 - Check Your understanding Three displacement...Ch. 2 - Check Your Understanding Suppose that Balto in...Ch. 2 - Check Your Understanding Verify that vector v V...
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(b) If AF=BF...Ch. 2 - You fly 32.0 km in a straight line in still air in...Ch. 2 - Rectangular coordinates of a point are given by...Ch. 2 - If the polar coordinates of a point are (r,)and...Ch. 2 - Prob. 74APCh. 2 - Starting at the island of Moi in an unknown...Ch. 2 - An air traffic controller notices two signals from...Ch. 2 - Show that when A+B=C then A2+B2+2ABcos , where is...Ch. 2 - Four force vectors each have the same magnitude...Ch. 2 - A skater glides along a circular path of radius...Ch. 2 - A stubborn dog is being walked on a leash by its...Ch. 2 - If the velocity vector of a polar bear is u=(-18.0...Ch. 2 - Find the scalar components of three-dimensional...Ch. 2 - A diver explores a shallow reef off the coast of...Ch. 2 - A force vector A has x and y components,...Ch. 2 - Vectors A and B are two orthogonal vectors in the...Ch. 2 - For the three-dimensional vectors in the following...Ch. 2 - Show that (BC)A is the volume of the...Ch. 2 - Vector B is 5.0 cm long and vector A is 4.0 cm...Ch. 2 - What is the component of the force vector G=(3.0...Ch. 2 - The following figure shows a triangle formed by...Ch. 2 - between points in a plane do not change when a...
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