Physics Vector Simple Basic Physics Questions-UCLA .

Your friend has slipped and fallen. To help her up, you pull with a force as the drawing shows. The vertical component of this force is 123 newtons (N), while the horizontal component is 104 N. Find (a) the magnitude of and (b) the angle 4. X (a) Number i Units (b) Number i Units Vector A has a magnitude of 12.1 units and points due west. Vector B points due north. (a) What is the magnitude of Bif A+ B has a magnitude of 19.5 units? (b) What is the direction of A + B relative to due west? (c) what is the magnitude of Bif A – B has a magnitude of 19.5 units? (d) What is the direction of A – B relative to due west? (Note: Use the convention that an angle north of west is positive, and an angle south of west is negative.) (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units Soccer player #1 is 8.98 m from the goal, as the figure shows. If she kicks the ball directly into the net, the ball has a displacement labeled A. If on the other hand, she first kicks it to player #2, who then kicks it into the net, the ball undergoes two successive displacements, Ay and Ax. What are the magnitudes of (a) Āx and (b) À y 30,0 90° A (a) Number i Units (b) Number Units A jogger travels a route that has two parts. The first is a displacement A of 2.15 km due south, and the second involves a displacement B that points due east. The resultant displacement Ă + has a magnitude of 4.30 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A – B had a magnitude of 4.30 km. (c) What then would be the magnitude of B, and (d) what is the direction of A – B relative to due south? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units Two ropes are attached to a heavy box to pull it along the floor. One rope applies a force of 400 newtons (N) in a direction due west; the other applies a force of 455 N in a direction due south. As we will see later in the text, force is a vector quantity. (a) How much force should be applied by a single rope, and (b) in what direction (as a positive angle relative to due west), if it is to accomplish the same effect as the two forces added together? (a) Number i Units (b) Number i Units A force vector has a magnitude of 577 newtons and points at an angle of 39° below the positive x axis. What are (a) the x scalar component and (b) the y scalar component of the vector? (a) Fx = Number i Units (b) Fy = Number i Units Given the vectors and shown on the grid, sketch and calculate the magnitudes of the vectors (aÑ = P + © and (b) K = 2Ť – . Use the tail-to-head method and express the magnitudes in centimeters with the aid of the grid shown in the drawing. P 18.00 cm (a) Number i Units (b) Number i Units A car is being pulled out of the mud by two forces that are applied by the two ropes shown in the drawing. The dashed line in the drawing bisects the 30.0° angle. The magnitude of the force applied by each rope is 2900 newtons (N). (a) How much force would a single rope need to apply to accomplish the same effect as the two forces added together? (b) What angle would the single rope make relative to the dashed line? 2900 newtons 30.0 2900 newtons (a) Number i Units (b) Number Units An ocean liner leaves New York City and travels 22.5° north of east for 204 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship’s displacement vector in the directions (a) due east and (b) due north? N w E s A le (a) Number i Units (b) Number Units Three forces are applied to an object, as shown in the figure. Force Fi has a magnitude of 20.8 newtons (20.8 N) and is directed 30.0° to the left of the +y axis. Force F2 has a magnitude of 15.2 N and points along the +x axis. What must be the (a) magnitude and (b) direction (specified by the angle 0 in the drawing) of the third force Fz such that the vector sum of the three forces is ON? 30.0 F2 (a) Number i Units (b) Number i Units What are the (a) x and (b) y components of the vector that must be added to the following three vectors, so that the sum of the four vectors is zero? Due east is the +x direction, and due north is the +y direction. A = 127 units, 51.0° south of west B = 245 units, 39.0° south of east = 156 units, 28.0 north of east W E S Төс JOB 0 B (a) Number i Units (b) Number Units