Ina two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 203 N, and Charles pulls with force F cof magnitude 182 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 137° Betty (a) Number i Units ° (degrees) (b) Number Units N

Ina two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 203 N, and Charles pulls with force F cof magnitude 182 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 137° Betty (a) Number i Units ° (degrees) (b) Number Units N

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 15P: The helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the...

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In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
The helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the right pulls with a force F1 of magnitude 120 X and direction of 1 = 60.0. The person on the left pulls with a force F2 of magnitude 80.0 N and direction of 2 = 75.0. Find (a) the single force that is equivalent to the two forces shown and (b) the force that a third person would have to exert on the mule to make the resultant force equal to zero. The forces are measured in units of newtons (symbolized N). Figure P3.15
In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA→ of magnitude 212 N, and Charles pulls with force FC→ of magnitude 177 N. Note that the direction of FC→ is not given. What is the magnitude of Betty's force FB→ if Charles pulls in the direction drawn in the picture?
In the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F→A of magnitude 202 N, and Charles pulls with force F→C of magnitude 189 N. Note that the direction of F→C is not given. What is the magnitude of Betty's force F→B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?
In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the right, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the right, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
Consider a 50-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F1 is 35 N, find angle a and the magnitude of vector F2.
At a picnic, there is a contest in which hoses are used to shoot water at a bench ball from three directions. As a result, three forces act on the ball, F1, F2, F3. The magnitudes and directions of each force are: F1 = 30 Newtons into the origin of the ball, 60 degrees above the negative x-axis F2 = 70 Newtons from the East to the origin of the ball A) Determine the magnitude of F3. B) the angle (theta) such that the resultant force acting on the ball is zero
In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture (the given angle is 137°). The tire remains stationary in spite of the three pulls. Alex pulls with force F→A of magnitude 202 N, and Charles pulls with force F→C of magnitude 179 N. Note that the direction of F→C is not given. What is the magnitude of Betty's force F→B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?
In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA→ of magnitude 212 N, and Charles pulls with force FC→ of magnitude 177 N. Note that the direction of FC→ is not given. What is the magnitude of Betty's force FB→ if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?
In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 18N and is directed to the left and down, making an angle of 40 degrees with the vertical. The force G has magnitude 15N and is directed to the right and down, making an angle of 70 degrees with the horizontal. Find the magnitude of the vector H and the acute angle it makes with the horizontal.