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A force
Figure P3.8
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Chapter 3 Solutions
Bundle: College Physics, Loose-Leaf Version, 10th, + WebAssign Printed Access Card for Serway/Vuille's College Physics, 10th Edition, Multi-Term
- 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_forwardAs 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_forward
- 1.5 Scalars and Vectors Find the speed and direction of an object with vy 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from the +x axis O 5.0 cm/s, 34° from the +x axis O 3.6 cm/s, 34 ° from the +x axis O 3.6 cm/s, 66° from the +x axis O 5.0 cm/s, 66° from the +x axis Submit Answer Save for Later X %24arrow_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_forwardConsider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i + 4.0j, E = -2.0i + 3.0j + 2.0k, F = -9.0j. a)What is A × B? Give your answer in the form of "ai + bj + ck". b)What is B × A? Give your answer in the form of "ai + bj + ck". c)What is C × D? Give your answer in the form of "ai + bj + ck". d)What is F × E? Give your answer in the form of "ai + bj + ck".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_forwardA velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total magnitude of the velocity? O 3.8 m/s 6.7 m/s 5.8 m/s 8.8 m/sarrow_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
- A bicep muscle shown in Fig. P2.3 can apply a force F measured in Newtons (N) as a function of the elbow angle ϕ, measured in degrees as described by the quadratic equation F(ϕ) = 6ϕ − 0.04ϕ2. For a bicep force of F = 200 N, solve the equation for ϕ by each of the following methods: factoring, completing the square, and the quadratic formula. Using your solution from part (a), determine the elbow angle ϕ where the force exerted by the bicep is maximum. In addition, calculate the maximum force Fmax. Plot F versus ϕ and clearly indicate the maximum force on the graph. Also clearly label the x-intercepts on the graph.arrow_forwardLet B = 4.55 m at 60.0°. C and A have equal magnitudes. The direction angle of C is larger than that of A by 25.0°. Let A B = 29.1 m² and BC= 33.9 m². Find the magnitude (in m) and direction (in degrees) of A. magnitude direction m 。arrow_forwardHere are three vectors in meters. d1 = -3.0î + 3.oĵ+ 2.0k d2 = -6.0î – 7.oĵ + 8.0k d3 = 6.0î + 4.0 j + 1.0k. What results from the following products? (a) di (d, + d3) m2 (b) d1 . d2 xd3) m3 (c) d1 x (d2 + d3) (Express your answer in vector form.) m2arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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