2. In mechanics, force is a vector quantity and has a unit of Newtons (N). The force F₁ with a magnitude of 54.0 N is applied at an object at the origin in the direction of 25° above the negative x-axis. A second force F₂ with a magnitude of 41.0 N is applied at the same object in the direction of 68° above the positive x-axis. Determine the magnitude and direction of the resultant of the two forces.
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- An antelope is being pulled by two forces whose vector-component expressions are: F1 = -3.5Ni + 3.4Nj + 3.9Nk F2 = 3Ni + 2.6Nj + -1.5Nk What is the angle (in degrees) between these two vectors?Three forces are applied to an object, as shown in the figure. Force F, has a magnitude of 23.4 newtons (23.4 N) and is directed 30.0⁰ to the left of the +y axis. Force F₂ has a magnitude of 15.7 N and points along the +x axis. What must be the (a) magnitude and (b) direction (specified by the angle in the drawing) of the third force F, such that the vector sum of the three forces is ON? (a) Number (b) Number Units Units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-axis
- Two electric force vectors act on a particle. Their x- components are 16.0 N and -7.60 N and their y- components are -17.0 N and -4.20 N, respectively. For the resultant electric force, find the following. (a) the x-component (b) the y-component (c) the magnitude of the resultant electric force N (d) the direction of the resultant electric force, measured counterclockwise from the positive x- axis ° counterclockwise from the +x-axisTwo workers are trying to move a heavy crate. One pushes on the crate with a force A, which has a magnitude of 480 newtons and is directed due west. The other pushes with a force B, which has a magnitude of 325 newtons and is directed due north. What is the magnitude of the resultant force A + B applied to the crate? Specify your answer up to one decimal place. Do not include units.A 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.
- A force F1 of magnitude 4.80 units acts at the origin in a direction 37.0° 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. magnitude units direction ° counterclockwise from the +x axisA 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?A force ₁ of magnitude 4.90 units acts on an object at the origin in a direction 8 = 34.0° above the positive x-axis. (See the figure below.) A second force 2 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 ₁ + 72. 1 (No Response) units magnitude direction (No Response) ° counterclockwise from the +x-axis 0
- 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?A large truck is stuck off the main road in the mud. Two tow trucks have cables that are connected at the same point on the front of the stranded truck. The tow trucks are attempting to tow the vehicle in an easterly direction (consider this direction to be 0o). The 1st tow truck is exerting a force on the stranded truck that is represented by the vector F1=90i+6j. The 2nd tow truck is exerting a force represented by the vector F2=110i−10j. The forces are measured in pounds. 4a) Identify the vector F that represents the resultant force exerted on the vehicle at the point of attachment of the cables. Give your answer in the form F=ai+bj. 4b) Using the value of the direction angle, determine if the stranded truck will be pulled in a direction of due east (0o). If not, indicate if it will be pulled north of due east or south of due east. Round your answer to 2 decimal places.An antelope is being pulled by two forces whose vector-component expressions are: F1 = 3.6Ni + -8.9Nj + -3.7Nk F2 = 8.2Ni + -1.7Nj + 2.4Nk What is the angle (in degrees) between these two vectors?