An aircraft is flying on a south westerly course with an engine thrust of 170 kN. A wind is blowing of 58 kN acting in a northerly direction. Use a scale vector diagram to determine the magnitude of the resultant force on the aircraft and its bearing. (a) R = 135 kN, 0= 18° from the 170 kN line (b) R = 135 kN, 0= 18° from the 58 kN line (c) R = 214 kN, 0= 35° from the 58 kN line (d) R = 214 kN, 0= 35° from the 170 kN line

F = (-30i + 60j + 60k )kN %3D Forces are concurrent at point O. Determine the magnitude of the resultant of the three vectors. a 71.5 kN b 187 kN F, = (60i – 20j+ 15k )kN c 116 kN d 83.7 kN Determine the angle between F, andF,. F, = (20j – 25k)kN X а 111° b 132° c 69.0° d 21.0° Select the expression that denotes a unit vector in the direction and sense of F,. a 0.625j -0.781k b 0.625i -0.781j c -0.625 j –0.781k d 0.625i +0.781j

Two hockey players check an opponent into boards simultaneously. Player 1 hits from the left at an angle of 37 degrees to horizontal and a force of 400N. Player 2 hits from the left at an angle of 41 degrees to horizontal and a force of 600N. What is the magnitude and direction of total force applied to opposing player

Current Attempt in Progress 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 218 N, and Charles pulls with force Fcc magnitude 175 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? 150° Alex (a) Number (b) Number Charles Betty Units Units 2

A block of mass m = 1.85 kg is pushed a distance d = 3.15 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 32.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force.(b) Determine the work done on the block by the normal force exerted by the table.(c) Determine the work done on the block by the force of gravity.(d) Determine the work done by the net force on the block.

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 block of mass m = 2.90 kg is pushed a distance d = 7.80 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 24.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force. J(b) Determine the work done on the block by the normal force exerted by the table. J(c) Determine the work done on the block by the force of gravity. J(d) Determine the work done by the net force on the block.

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

Consider a 55-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F₁ is 36 N, find angle a and the magnitude of vector F2. The measure of angle a is (Round to two decimal places as needed.) The magnitude of vector F₂ is N. (Round to two decimal places as needed.) Jα FR 57° (F2