College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 3, Problem 8P
A force
Figure P3.8
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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,
A 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.
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.
Chapter 3 Solutions
College Physics
Ch. 3.1 - The magnitudes of two vectors A and B are 12 units...Ch. 3.2 - Prob. 3.2QQCh. 3.2 - Prob. 3.3QQCh. 3.3 - Which of the following objects cant be...Ch. 3.3 - Consider the following controls in an automobile:...Ch. 3.4 - Suppose you are carrying a ball and running at...Ch. 3.4 - As a projectile moves in its parabolic path, where...Ch. 3 - A vector A has components Ax = 5.00 m and Ay =...Ch. 3 - Calculate (a) the x- and (b) y-components of the...Ch. 3 - Find (a) the x- and (b) y-components of R = 2A B...
Ch. 3 - A hiker walks from (x1, y1) = (4.00 km. 3.00 km)...Ch. 3 - A hiker walks 3.00 km north and then 4.00 km west,...Ch. 3 - A car is traveling east at 25.0 m/s when it turns...Ch. 3 - A skier leaves the end of a horizontal ski jump at...Ch. 3 - A catapult launches a large stone from ground...Ch. 3 - A cruise ship sails due north at 4.50 m/s while a...Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - As a projectile moves in its path, is there any...Ch. 3 - Construct motion diagrams showing the velocity and...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A ball is projected horizontally from the top of a...Ch. 3 - A spacecraft drifts through space at a constant...Ch. 3 - Determine which of the following moving objects...Ch. 3 - Two projectiles are thrown with the same initial...Ch. 3 - A ball is thrown upward in the air by a passenger...Ch. 3 - A projectile is launched at some angle to the...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A car moving around a circular track, with...Ch. 3 - As an apple tree is transported by a truck moving...Ch. 3 - Prob. 1PCh. 3 - Vector A has a magnitude of 8.00 units and makes...Ch. 3 - Vector A is 3.00 units in length and points along...Ch. 3 - Three displacements are A = 200 m due south, R =...Ch. 3 - A roller coaster moves 200 ft horizontally and...Ch. 3 - An airplane flies 200 km due west from city A to...Ch. 3 - A plane flies from base camp to lake A, a distance...Ch. 3 - A force F1, of magnitude 6.00 units acts on an...Ch. 3 - A man in a maze makes three consecutive...Ch. 3 - Prob. 10PCh. 3 - The magnitude of vector A is 35.0 units and points...Ch. 3 - A figure skater glides along a circular path of...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - A hiker starts at his camp and moves the following...Ch. 3 - A vector has an x-component of 25.0 units and a...Ch. 3 - A quarterback takes the ball from the line of...Ch. 3 - The eye of a hurricane passes over Grand Bahama...Ch. 3 - A map suggests that Atlanta is 730 miles in a...Ch. 3 - A commuter airplane starts from ar. airport and...Ch. 3 - The helicopter view in Figure P3.20 shows two...Ch. 3 - A novice golfer on the green takes three strokes...Ch. 3 - One of the fastest recorded pitches in major...Ch. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - A rock is thrown upward from the level ground in...Ch. 3 - The best leaper in the animal kingdom is the puma,...Ch. 3 - The record distance in the sport of throwing...Ch. 3 - A placekicker must kick a football from a point...Ch. 3 - From the window of a building, a ball is tossed...Ch. 3 - A brick is thrown upward from the top of a...Ch. 3 - An artillery shell is fired with an initial...Ch. 3 - A car is parked on a cliff overlooking the ocean...Ch. 3 - A fireman d = 50.0 m away from a burning building...Ch. 3 - A projectile is launched with an initial speed of...Ch. 3 - A playground is on the flat roof of a city school,...Ch. 3 - A jet airliner moving initially at 3.00 102 mi/h...Ch. 3 - A car travels due east with a speed of 50.0 km/h....Ch. 3 - A bolt drops from the ceiling of a moving train...Ch. 3 - A Coast Guard cutter detects an unidentified ship...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - Suppose a chinook salmon needs to jump a waterfall...Ch. 3 - A river has a steady speed of 0.500 m/s. A student...Ch. 3 - This is a symbolic version of Problem 29. A river...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - A moving walkway at an airport has a speed v1 and...Ch. 3 - How long does it take ail automobile traveling in...Ch. 3 - You can use any coordinate system you like to...Ch. 3 - A Nordic jumper goes off a ski jump at an angle of...Ch. 3 - In a local diner, a customer slides an empty...Ch. 3 - Towns A and B in Figure P3.35 are 80.0 km apart. A...Ch. 3 - A chinook salmon has a maximum underwater speed of...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - In a very popular lecture demonstration, a...Ch. 3 - Figure P3.60 illustrates the difference in...Ch. 3 - By throwing a ball at an angle of 45, a girl can...Ch. 3 - The equation of a parabola is y = ax2 + bx + c,...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A student derides to measure the muzzle velocity...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A dart gun is fired while being held horizontally...Ch. 3 - The determined Wile E. Coyote is out once more to...Ch. 3 - A truck loaded with cannonball watermelons stops...
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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_forward1.5 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_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_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_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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