Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 3, Problem 39EAP
Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.5 m above the ground. His weight of 680 N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N.) What are the components of Tom’s weight parallel and perpendicular to the ladder?
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An antelope is being pulled by two forces whose vector-component expressions are: F1 = 0.7Ni + 0.5Nj + 7.2Nk F2 = 9.9Ni + -9.2Nj + -8.1Nk What is the angle between these two vectors?
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).
As shown in the attached figure below, three force vectors act on an object. The magnitudes of the forces are F1= 80.0 N, F2 = 60.0 N, and F3 = 40.0 N, where N is the standard SI unit of force. The resultant force acting on the object is given by
A. 40.0 N at an angle 60.0° below +x-axis
B. 60.0 N at an angle 90.0° above +x-axis
C. 20.0 N at an angle 34.3° below +x-axis
D. 180 N at an angle 60.0° below +x-axis
E. 35.5 N at an angle 34.3° above +x-axis
Chapter 3 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 3 - Can the magnitude of the displacement vector be...Ch. 3 - If C=A+B, can C = A + B? Can C>A + B? For each,...Ch. 3 - If C=A+B can C = 0? Can C< O? For each, show how...Ch. 3 - Is it possible to add a scalar to a vector? If so,...Ch. 3 - How would you define the zero vector ?Ch. 3 - Can a vector have a component equal to zero and...Ch. 3 - Can a vector have zero magnitude if one of its...Ch. 3 - Suppose two vectors have unequal magnitudes. Can...Ch. 3 - Are the following statements true or false?...Ch. 3 - I. Trace the vectors in FIGURE EX3.1 onto your...
Ch. 3 - Trace the vectors in FIGURE EX3.2 onto your paper....Ch. 3 - a. What are the x- and v-components of vector E...Ch. 3 - A velocity vector 40° below the positive x-axis...Ch. 3 - A position vector in the first quadrant has an...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Let C = (3.15 m, 15° above the negative x-axis)...Ch. 3 - A runner is training for an upcoming marathon by...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Let a. Write Vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Din component form. b. Draw a...Ch. 3 - Let A = 4î - 2j, B = -3î + 5j, and E = 2 A + 3 B...Ch. 3 - Let A = 41 - 2j, B = -3î + 5j, and F = A -4 B . a....Ch. 3 - 17. Let = 2î + 3? and = 2î — 2?. Find the...Ch. 3 - Prob. 18EAPCh. 3 - 19. What are the x– and y- components of the...Ch. 3 - 20. For the three vectors shown Figure EX3.20, + +...Ch. 3 - Prob. 21EAPCh. 3 - 22. Let = (3.0 m, 20° south of east), = (2.0 m,...Ch. 3 - The position of a particle as a function of time...Ch. 3 - a. What is the angle between vectors E and F in...Ch. 3 - FIGURE P3.25 shows vectors A and B . Find vector C...Ch. 3 - Prob. 26EAPCh. 3 - Prob. 27EAPCh. 3 - Prob. 28EAPCh. 3 - The minute hand on a watch is 2.0 cm in length....Ch. 3 - Prob. 30EAPCh. 3 - Ruth sets out to visit her friend Ward, who lives...Ch. 3 - A cannon tilted upward at 30° fires a cannonball...Ch. 3 - Prob. 33EAPCh. 3 - Prob. 34EAPCh. 3 - A pine cone falls straight down from a pine tree...Ch. 3 - Prob. 36EAPCh. 3 - Prob. 37EAPCh. 3 - Your neighbor Paul has rented a truck with a...Ch. 3 - Tom is climbing a 3.0-m-long ladder that leans...Ch. 3 - The treasure map in FIGURE P3.40 gives the...Ch. 3 - The bacterium E. coli is a single-cell organism...Ch. 3 - A flock of ducks is trying to migrate south for...Ch. 3 - FIGURE P3.43 shows three ropes tied together in a...Ch. 3 - I Four forces are exerted on the object shown in...Ch. 3 - FIGURE P3.45 shows four electric charges located...
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- Vector F1 = 625 N makes an angle of 270o when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120o angle from Vector F1 when rotated counterclockwise. What is the magnitude a vector needed to balance the two forces? 580.6 N -670.6 N 680.6 N 86.2 N 780.6 N -980.6 N 980.6 N 78.2 Narrow_forwardUsing the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x- axis. The two forces were as follows: Force 1: Fx = −2.70 N; Theta = 220.0 degreees Force 2: Fy = 3.20 N; Theta = 60.0 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x-axis.arrow_forwardVector F1 = 625 N makes an angle of 270 degrees when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120 degree angle from Vector F1 when rotated counterclockwise. What is the direction of the vector needed to balance the two forces?arrow_forward
- If d1 + 5d2 = 5d3, d1 − 2 = 8d3, and d3 = 2i + 4j, then what are the following vectors in unit-vector notation? (a) d1 = (b) d2 =arrow_forwardA stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls along the leash with force F = (86.4 N)i + (139.6 N)j + (34.8 N)k. (Here the unit vector k is directed vertically upward.) What is the magnitude of the pulling force in N? What angle does the leash make with the vertical?arrow_forwardTwo forces have the same magnitude F. What is the angle between the two vectors if their sum has a magnitude of (a) 2F? (b) 22F? (c) zero? Sketch the three vectors in each case.arrow_forward
- Given the following four force vectors in terms of their magnitude and directions, find the direction of the resultant force: F1 = 534.7 N @ 135.4 degrees F2 = 987.6 N @ 110.8 degrees F3 = 154.9 N @ 200.2 degrees F4 = 784.1 N @ 345.6 degreesarrow_forward***IMAGE IS INCLUDED IN ATTACHMENT*** Forces F1 and F2 act on a mass m = 0.38 kg, as shown in the diagram below.The magnitudes of the forces and angles are as follows:F1 = 1.8 N, θ1 = 71 degreesF2 = 3.9 N, θ2 = 19 degreesWhat are the x and y components of the force F1?( , ) N Tries 0/2 What are the x and y components of the force F2?( , ) N Tries 0/2 What are the x and y components of the sum of these two forces (the resultant force)?( , ) N Tries 0/2 What is the magnitude of the resultant force? N Tries 0/2 What are the x and y components of the resulting acceleration of the mass?( , m/s2 Tries 0/2 What is the magnitude of the acceleration? m/s2arrow_forwardThe hamstrings pull on the tibia with a force of 510 N at 30 degrees to the bone: that is the angle between the force vector and tibia is 30 degrees. The distance along the tibia from the knee joint center to the tendon insertion is 3.5 cm. What is the magnitude of the force component that is parallel to the tibia?arrow_forward
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