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A force
Figure P3.7
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Physics for Scientists and Engineers with Modern Physics
- 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_forwardThe 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_forward
- Three 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_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_forwardA force F1 of magnitude 6.00 units acts on an object at the origin in a direction theta=30 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 graphically the magnitude and direction of the resultant force F1+ F2.arrow_forward
- Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If F1 = 690 N and F2 = 700 N, determine the vector expression for the resultant R of the two forces. Then determine the magnitude R of the resultant and the angle 0 which it makes with the positive x-axis (measured counterclockwise from the x-axis). F2 63° F A Answers: R = ( i i+ i j) N R = i N iarrow_forwardThree forces are applied to an object, as shown in the figure. Force F₁ has a magnitude of 24.2 newtons (24.2 N) and is directed 30.0° to the left of the +y axis. Force F₂ has a magnitude of 15.9 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 F3 such that the vector sum of the three forces is ON? ->> (a) Number i (b) Number i Units Units 30.0° F₁arrow_forwardTwo tow trucks are pulling on a truck stuck in the mud. Tow truck #1 is pulling with a force of 635 lbs at a 51° from the horizontal while tow truck #2 is pulling with a force of 592 lbs at a 39° from the horizontal. What is the magnitude of the force and its angle with the horizontal? 1200N, 150 degrees O 1200N, 45 degrees O 600N, 150 degrees O 600N, 45 degreesarrow_forward
- As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 61.0° north of west with a speed of 39.2 km/h. (Let î represent east and ĵ represent north.) (a) What is the unit-vector expression for the velocity of the hurricane? km/h î + km/h j It maintains this velocity for 3.50 h, at which time the course of the hurricane suddenly shifts due north, and its speed slows to a constant 24.8 km/h. This new velocity is maintained for 1.50 h. (b) What is the unit-vector expression for the new velocity of the hurricane? km/h î + km/h j (c) What is the unit-vector expression for the displacement of the hurricane during the first 3.50 h? km j km î + (d) What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h? km î + km ĵ (e) How far from Grand Bahama is the eye 5.00 h after it passes over the island? kmarrow_forwardAs 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 ₁ of magnitude 6.80 units acts on a box at the origin in a direction 0 = 29.0° above the positive x-axis. A second force F2 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 ₁ + F2. magnitude direction F₂ F₁ i units ° counterclockwise from the +x-axisarrow_forwardThe rocket engine on a test stand exerts an upward force of 36 MN vertically upward. If you resolve the force into vector components parallel to the bars AB and CD, what are the magnitudes of the components? Given that the angle θθ is 42 degree.arrow_forward
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