3) A barge is pulled by the two tugboats shown in the following figure.One tugboat pulls on the barge with a force of magnitude 4000 unitsof force at 15° above the line AB (see the figure) and the othertugboat pulls on the barge with a force of magnitude 5000 units ofIA5000 units4000 units15force at 12° below the line AB.12a) What is the component of each force vector from the tugboats?[5 points]b) Find the vector sum in both the x and y directions [5 points]c) What is the magnitude of the vector sum? What is the directionof the vector sum (as measured from the line AB)? [10 points]Barged) If the values given are measured in standard units of force andthe barge has a mass of 10,000 kg, what is the acceleration of thebarge? [5 points](View from above)

Answered: Image /qna-images/answer/33080094-758a-4b62-9fa0-b79661a00b1e.jpg

Answered: 3) A barge is pulled by the two…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 67P

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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. 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 P3.7
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?
Three forces when added produce a resultant force that is 100 N pointing 63° above the positive x-axis. If one of the forces is 50 N in the positive y direction and another is 100 N in a direction 45° below the positive x-axis, what are the magnitude and direction of the third force?
The components of vectors ?⃗ and ?⃗ are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What is the magnitude of vector sum ? + ? choices: a. 2.5 b. 5.1 c. -9.3 d. 9.6 The equilibrant force is 5500 Dynes in magnitude and in the direction of 30 degrees South of East. Find the resultant force and direction. 5500 Dynes 170 degres 5500 Dynes, 150 degrees 5500 Dynes, 130 degrees 5500 Dynes, 30 degrees
Consider the following four force vectors: 1 = 50.0 newtons, due east 2 = 10.0 newtons, due east 3 = 40.0 newtons, due west 4 = 30.0 newtons, due west a.Which two vectors add together to give a resultant with the smallest magnitude? 1 and 2 1 and 3 1 and 4 2 and 3 2 and 4 3 and 4 B. Which two vectors add together to give a resultant with the largest magnitude? 1 and 2 1 and 3 1 and 4 2 and 3 2 and 4 3 and 4
A force, F1, of magnitude 3.3 N and directed due east is exerted on an object. A second force exerted on the object is F2 = 3.3 N, due north. What is the magnitude and direction of the third force, F3, which must be exerted on the object so that the resultant force is zero? A. 4.7 N, 45 degrees N of E. B. 6.6 N, 45 degrees S of W. C. 6.6 N, 45 degrees N of E. D. 4.7, 45 degrees S of W.
Using component method, find the resultant vector of the following: a. 3m (North) and 10m (West)b. 18 m (East) and 5m (South)c. 55 N (30° N of E) and 72 N (80° E of S)d. 44 m/s2 (South), 26 m/s2 (33° E of N), and 15 m/s2(East) e. 90 km/h (44° W of S), 20 km/h (30° N of E), and 31 km/h (15° N ofW)
For the vectors a→=(3.0⁢m)î+(4.0⁢m)ĵ and b→=(5.0⁢m)î+(-2.0⁢m)ĵ, give a→+b→ in (a) unit-vector notation, and as (b) a magnitude and (c) an angle (relative to î in the range of (-180°, 180°]). Now give b→-a→ in (d) unit-vector notation, and as (e) a magnitude and (f) an angle (relative to î in the range of (-180°, 180°])
1660N 24 Degrees East of North. 1154N East. 961N South. 0N West. The Information above shows the forces acting on a 845 kg object. What is the acceleration vector that results from these forces? 4.82 m/s2, 23.3° north of east 13.8 m/s2, 16.5° south of west 6.11 m/s2, 11.2° east of north 2.26 m/s2, 16.6° north of east
a force F1=315N acts in the first quadrant at an angle of 70 degress above the x axis, while a second force F2=210N acts in the third quadrant at an angle of 40 degrees below the x axis. What is the magnitude of the resultant of these two forces
Three forces are applied to an object, as shown in the figure. Force ->F1 has amagnitude of 24.4 newtons (24.4 N) and is directed 30.0 degrees to the left of the (+) yaxis. Force ->F2 has a magnitude of 15.4 N and points along the (+) x axis. What mustbe the (a) magnitude and (b) direction (specified by the angle (theta) in the drawing) ofthe third force ->F3 such that the vector sum of the three forces is 0 N?
Concurrent forces of 10 N east and 10 N south act on an object. The resultant force is a. 14 N southeast b. 20.N southeast c. 5.0 N southeast d. 0.0 N The resultant of a 12 N force and a 7.0 N force has a magnitude of 5.0 N. The angle between the original forces is a. 0 degree b. 45 degrees c. 180 degrees d. 90 degrees What is the minimum number of unequal forces whose vector sum can be equal to zero? a. four b. three c. two d. one

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