#7) Compute the x- and y-components of the vectors F₁, F2, and F3 in the provided figure (report answers to 3 sig figs). The x-axis is fixed horizontal and the y- axis is always vertical. Your signs matter, be careful. All the vectors start from the origin. The angle on the right, is 45 degrees and the angle on the left is 30 degrees. F₁ = 50 N 8 F₂ = 50 N F2=75 N $ X

#7) Compute the x- and y-components of the vectors F₁, F2, and F3 in the provided figure (report answers to 3 sig figs). The x-axis is fixed horizontal and the y- axis is always vertical. Your signs matter, be careful. All the vectors start from the origin. The angle on the right, is 45 degrees and the angle on the left is 30 degrees. F₁ = 50 N 8 F₂ = 50 N F2=75 N $ X

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 9P: The displacement vectors A and B shown in Figure P3.9 both have magnitudes of 3.00 m. The direction...

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A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
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 .
Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
A surveyor measures the distance across a straight river by the following method (Fig. P3.7). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is = 35.0. How wide is the river?
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
The displacement vectors A and B shown in Figure P3.9 both have magnitudes of 3.00 m. The direction of vector A is = 30.0. Find graphically (a) A+B, (b) AB, (c) BA, and (d) A2B. (Report all angles counterclockwise from the positive x axis.)
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a convenient scale, and use a ruler and a protractor to find vector G given by the vector equation G=A+2BF . The three displacement vectors A , B , and C in Figure are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Find the components of vtot along a set of perpendicular axes rotated 30° counterclockwise relative to those in Figure 3.57.