Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 7P
A force
Figure P3.7
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7. A force F1 of magnitude 6.00 units acts on an object at the origin in a direction 0 = 30.0° above the
positive a axis (Fig. P3.7). A second force F, 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
Figure P3.7
F,
Force F has vector components <-3, -6, -6> N and line A has vector components <4, -4, -6> m.
What is the angle, in degrees, between force F and line A?
A force F1 of magnitude 4.80 units acts at the origin in a direction 50.0° above the positive x axis. A second force F2 of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F1 + F2.
Find magnitude
Find direction
Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - Prob. 3.2QQCh. 3.3 - If vector B is added to vector A, which two of the...Ch. 3.4 - Choose the correct response to make the sentence...Ch. 3.4 - Prob. 3.5QQCh. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 2PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Prob. 4PCh. 3 - Why is the following situation impossible? A...
Ch. 3 - Prob. 6PCh. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - Prob. 11PCh. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - Prob. 17PCh. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - The vector A has x, y, and z components of 8.00,...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 26PCh. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Prob. 29PCh. 3 - In an assembly operation illustrated in Figure...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - Prob. 33PCh. 3 - Prob. 34APCh. 3 - A person going for a walk follows the path shown...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - Prob. 40APCh. 3 - Prob. 41APCh. 3 - Prob. 42APCh. 3 - Prob. 43APCh. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - A pirate has buried his treasure on an island with...
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- Vector 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_forwardIn an assembly operation illustrated in Figure P3.30. a robot moves an object first straight upward and then also to the east, around an arc forming one-quarter of a circle of radius 4.80 cm that lies in an eastwest vertical plane. The robot then moves the object upward and to the north, through one-quarter of a circle of radius 3.70 cm that lies in a northsouth vertical plane. Find (a) the magnitude of the total displacement of the object and (b) the angle the total displacement makes with the vertical. Figure P3.30arrow_forwardA force F1 of magnitude 5.20 units acts on an object at the origin in a direction theta = 48.0 above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find the graphically the magnitude and direction of the resultant force F1+ F2.arrow_forward
- Problem 5. A force F of magnitude 6.00 units acts on an object at the origin in a direction u 30.0 degrees above the positive x axis. A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y axis. Find the magnitude and direction of the resultant F + F2.arrow_forwardA force F1 of magnitude 5.00 units acts at the origin in a direction 34.0° above the positive x axis. A second force F2 of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F1 + F2arrow_forward最 属国国 庫 庫 ! 国 庫 As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force F, of magnitude 6.80 units acts on a box at the origin in a direction 6 = 29.0° above the positive x-axis. A second force F, of magnitude 5.00 units acts on the box in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force F, +F 2" 1 magnitude units direction counterclockwise from the +x-axisarrow_forward
- F1, F2 and F3 forces act on a connection point. These forces and the resultant Define the force in Cartesian vector form. The strength of the resultant force and Find the directions it makes with the axes. X F₂=5 kN ye 30° сл 5 3 t UNTES F3 = 2 kN F₁=1.25 KN Zarrow_forwardOften a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T = 20 N in a direction 35° north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system. Figure Ĉ length = b B length = c B length = a a A = < 1 of 1 ▼ Part A Find the components of the vector A with length a = 1.00 and angle a=10.0° with respect to the x axis as shown in (Figure 1). Enter numerically, separated by a comma, the x component followed by the y component. ► View Available Hint(s) Ax, Ay = Submit Part B Bx, By = —| ΑΣΦ Find the components of the vector B with length b = 1.00 and angle =10.0° with respect to the x axis as shown in (Figure 1). Enter numerically, separated by a comma, the x component followed by the y component. ►View Available Hint(s) Submit ? [5] ΑΣΦ ?arrow_forwardWhat is the direction of the resultant force?arrow_forward
- The soccer ball shown weighs I lb and has a velocity of 20 fps at 40° to the horizontal prior to striking the soccer player's head. After the soccer player heads the ball, it has a velocity of 30 fps at 20° to the horizontal. If the duration of the impact is 0.15 sec, determine a. Express the initial and final velocities of the ball in Cartesian vector form b. Magnitude and direction of the average force exerted on the soccer ball by the player's head in Cartesian vector form.arrow_forwardThree force vectors act on a free body at the origin as shown. F1= 4 N F2=2.0 i + 3.1 J N F3= 6.3 N at 35° relative to positive x axis. a) Report the unit vector in the direction of F3 (in unit vector or i,j,k notation to 4 sig figs) b)Calculate the resultant force R, which is the sum of the three forces F1,F2, and F3 (in unit vector or i,j,k notation to 4 sig figs)arrow_forwardA force F1 of magnitude 6.30 units acts on an object at the origin in a direction θ = 47.0° above the positive x-axis. (See the figure below.) 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.arrow_forward
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