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 É A of magnitude 215 N, and Charles pulls with force c of magnitude 181 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 141° Betry (a) Number i Units (b) Number Units

Two forces are exerted on an object: a force A with an x-component of 9.00[N] and a y-component of -2.40[N], and a force B with an x-component of -13.30[N] and a y-component of 23.60[N]. Assuming these are the only two forces on the object, what is the magnitude of the net force on the object? Express your answer in N.

A 781 N sprinter can push his feet back against the starting blocks with a force of 1852 N in the horizontal direction.  If the force is generated for 0.28 s, determine the horizontal velocity of the runner out of the blocks. Include magnitude and direction when reporting vectors.

In the figure, a 499 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 51.0° and 9₂ = 54.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) B C 0₂

Two people are pulling a heavy 95 kg box across the floor as shown in the figure. Person A is pulling in the x-direction only with a force of 20 N. Person B is pulling at an angle e = 40° above the x-direction, also with a force of 20 N. What is the total pulling force on the box in the x-direction?

Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure.(Figure 1) Take F₁ = 864 NF2 = 784 N, and F3 = 384 N. Figure Part A F₂ 53° F3 32° F₁ Find the components of each of the three pulls. Enter your answer as three numbers, separated with commas. F1, F2, F32 = ΜΕ ΑΣΦ Submit Previous Answers Request Answer × Incorrect; Try Again Part B Find the y components of each of the three pulls. Enter your answer as three numbers, separated with commas. ΜΕ ΑΣΦ Fly, F2y, Fay = ? ? N N 1 of 1

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 214 N, and Charles pulls with force F c of magnitude 183 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 145° Betty (a) Number i Units (b) Number i Units >

A 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 on the leash with force F ⃗ = (98.0i ^ + 132.0j ^ + 32.0k ^ )N along the leash. (a) What is the magnitude of the pulling force? (b) What angle does the leash make with the vertical?

There are two forces on the 2.26 kg box in the overhead view of the figure but only one is shown. For F₁ = 12.6 N, a = 11.5 m/s², and 0 = 24.4°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i (b) Number i (c) Number i + i Units Units F x Ĵ Units î î

A fish has been hooked and is pulling on the line as shown in the figure above. If the pole makes an angle of 25° with the horizontal, the distance between the point where the fine is attached to the pole and the anglers hand is L = 1.36 m, and the fish pulls on the line such that the tension in the line is T = 192.7 N'at an angle 35.0° below the horizontal, determine the magnitude (in N m) of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand. 25.0 25.0 35.0⁰ T