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- 4. A bullet is fired from ground level at a speed of 2200 feet per second at an angle of 30° from the horizontal. Find the magnitude of the horizontal and vertical components of the velocity vector. uith thọ horizontal, FindThe force on a particle is described by 9x³ - 5 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = 5.find the angles between the curves v=u2, v=u3, lying on the surface x=u2+v2y=u2-v2z=uv+3u+2v
- Find the WORK done to empty a tank with a (equilateral) triangular base 12 ft on a side and 20 ft high, which is filled up to 12 feet. The liquid in the tank has peculiar properties. The density of the liquid increases linearly according to the depth of the liquid. The top of the liquid has weight density is 40 lbs/ft° and it increases linearly until the bottom, where it is 100 Ibs/ft (The liquid is moved up and over the top.). Express your answer in exact form and approximate form to the nearest whole number.In physics and engineering the work W performed by a constant force F applied in the direction of motion to an object moving a distance d on a straight line is defined to be W = ||F||d(force magnitude times distance) \In the case where the applied force is constant but makes an angle 0 with the direction of motion, and where the object moves along a line from a point P to a point Q, we call PQ the displacement and define the work performed by the force to be W = F • PQ = ||F|||PO||cose (see accompanying figure). Common units of work are ft-Ib (foot-pounds) or Nm (Newton-meters). ||F|| F L||F|| cos 0 -||P|- Work = (1|F|| cos e) ||PQ|| %3D a) Show that the work performed by a constant force (not necessarily in the direction of motion) can be expressed asTwo electrons repel each other with a force that varies inversely as the square of the distance between them. One electron is fixed at the point (2, 4). Find the work done in moving the second electron from (−2, 4) to (1, 4).