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 38EAP
Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25°, and Paul is pulling a large crate up the ramp with a rope that angles 10° above the ramp. If Paul pulls with a force of 550 N, what are the horizontal and vertical components of his force? (Force is measured in newtons, abbreviated N.)
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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).
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?
A force ofF1= 50.0 N is directed at an angle of 60° above the x-axis.
A second force of F2 = 50.0 N is directed at an angle of 60.0° below the x-axis.= 50.0 N is directed at an angle of 60.0° below the x-axis.
What is the vector sum of these two forces?
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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- 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?arrow_forwardA force F1 of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the positive x axis (Fig. P3.7). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F1+F2. Figure P3.7arrow_forwardVector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forward
- Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .arrow_forwardThe magnitude of vector A is 8 km, and the magnitude of B is 6 km. Which of the following are possible values for the magnitude of A + B? Choose all possible answers. (a) 10 km (b) 8 km (c) 2 km (d) 0 (e) 2 kmarrow_forwardThe helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the right pulls with a force F1 of magnitude 120 X and direction of 1 = 60.0. The person on the left pulls with a force F2 of magnitude 80.0 N and direction of 2 = 75.0. Find (a) the single force that is equivalent to the two forces shown and (b) the force that a third person would have to exert on the mule to make the resultant force equal to zero. The forces are measured in units of newtons (symbolized N). Figure P3.15arrow_forward
- A force F1, of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the positive x-axis (Fig. P1.58). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F1 + F2. Figure P1.58arrow_forwardfind the angle between two vector forces whose magnitude are F and 3F and the magnitude of whose resultant is 3Farrow_forwardGiven the following three force vectors in terms of their magnitude and directions, find the magnitude of the resultant force: F1 = 1259.98 N @ 15.3 degrees F2 = 987.55 N @ 260.5 degrees F3 = 1555.47 N @ 162.3 degreesarrow_forward
- The method of vector addition is called algebraic addition. True or false?arrow_forwardA plane leaves the airport in Manila and flies 170 km east and then changes direction to fly 230 km 58° north of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane? Use the Law of sines and cosines to solve this problem.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_forward
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