A force P = 873 kN whose line of action passes through points A(1, 1, 4) and B(5, 8, 10). Determine the z-component of force P in kN. Write the numerical value only and in 2 decimal places.
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- Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitude of the charge of the electron, e = -1.60217662 × 10–19 C. Mass of the electron, me = 9.10938356 x 10–31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . +Y (8, –7), q2 = -48 µC at p2 = (-8, 11) and q3 = 21 µC at Coordinates of three charges in a 2D plane is given as follows: q1 = 39 µC at p1 P3 = (-14,9). These coordinates are given in centimeters.The figure shows a block of mass m resting on a 20° slope. The block has coefficients of friction μs = 0.64 and μk = 0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?USE VECTOR NOTATIONIn a physics laboratory class, three massless strings are tied together at a point. A tensile force is applied along each rope: F_1 = 150 N at 60°, F_2 = 200. N at 100°. F_3 = 100. N at 190° What is the magnitude of a fourth force and the angle at which it acts to keep the point at the center of the system stationary? (All angles are measured from the positive x-axis counterclockwise.)
- A student of weight 651 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force FN on the student from the seat is 589 N. (a) What is the magnitude of FN at the lowest point? If the wheel's speed is doubled, what is the magnitude FN at the (b) highest and (c) lowest point? (a) Number Units (b) Number Units (c) Number UnitsA force acts at the origin of a coordinate system in a direction defined by the angles a = 113.2° and Øß = 78.4°. Knowing that the z component of the force is -35 lb, determine (a) the angle y, (b) the other components and the magnitude of the force. At the end of your solution, draw a 3D sketch showing F and its components - similar to the first 3D example we did in class. (Hint: for this problem only you do not need to start your solution with a FBD. Do not include a sketch in the “Problem" section as you were not given a picture.) (Partial answer hint: F = 39.0 lb. Note: this partial answer hint is like checking the back of the book. You consider this as "given" information.) %3D may notA particle with mass m = 10 mg travels from the origin with initial velocity = 50 through a S uniform force field ♬ = (1002 + 3007) m.N. The particle impacts a vertical screen located at a = = 10 cm. Determine the y-coordinate of the impact location, and the speed of the particle at impact. Yimpact Vimpact = cm m m S
- Three electrons are located at the vertices of an equilateral triangle with side lengths of d. The electrons at the base of the triangle are stuck in place but the electron at the top is free to move. The mass of an electron is 9.109 *10-31 kg. a) Find the distance d such that the electron located at the top or apex of the triangle is balanced by the repulsive forces of the electrons below it and the gravitational force pulling it down.You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 42.0 mph. The cars locked bumpers and slid eastward with their wheels locked for 18.5 ft before stopping. You have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750. What speed u (in miles per hour) was car A traveling just before the collision? (This problem uses English units because they would be used in a U.S. legal proceeding.) V = x10 TOOLS mphA block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a distance d before hitting a spring and compresses the spring by a maximum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?
- A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. A coordinate plane has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). There are three line segments. The first segment runs from the origin to (6,2). The second segment runs from (6,2) to (11,2). The third segment runs from (11,2) to (17,0). (a) Find the work done by the force on the object as it moves from x = 0 to x = 6.00 m. J(b) Find the work done by the force on the object as it moves from x = 6.00 m to x = 11.0 m. J(c) Find the work done by the force on the object as it moves from x = 11.0 m to x = 17.0 m. J(d) If the object has a speed of 0.450 m/s at x = 0, find its speed at x = 6.00 m and its speed at x = 17.0 m. speed at x = 6.00 m m/s speed at x = 17.0 m m/sThe system shown consists of 3 cables. For instance; cable C12 joins points 1 and 2. The coordinates of point 1 are (7.79, 0, 0) m, those of point 2 are (0, 7.58, 9.77) m, and those of point 3 are (0, 7.58, -9.77) m. The force P = 99 kN. Determine the force in cable C14.Problem 1: A meter stick has mass m = .2 kg (distributed uniformly along its length) and a length of (of course) 1 meter. The stick is placed simultaneously on two weight scales: one at the 20 cm mark (with 0 cm at the far left end of the stick), the other at the 70 cm mark, with no other supports or weights. Remember that a weight scale supplies an upward force, equal to the reading on the scale. Calculate the reading on both scales. Call the reading on the left scale (at 20 cm) FL, and the reading on the right scale (at 70 cm) FR. 20 cm 70 cm