wo forces are applied to a car in an effort to move it, as shown in the following figure, where F, = 409 N and F, = 394 N. (Assume up and to the right as positive directions. F (a) What is the resultant of these two forces? magnitude direction ° to the right of the forward direction
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- 2.12 A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations 0² = Ae k (upward motion) =- Be (downward motton) k %3D in which A and B are constants of integration, g is the acceleration of gravity, andk=cz/m where c, is the drag constant and m is the mass of the bullet. (Note: x is measured positive upward, and the gravitational force is assumed to be constant.)Three forces act on an object. A 3 N force acts due east and a 7 N force acts due north. If the net force on the object is zero, what is the magnitude of the third force?The drag force, Fa, imposed by the surrounding air on a vehicle moving with velocity Vis given by Fa Ca ApV²/2 where Ca is a constant called the drag coefficient, A is the projected frontal area of the vehicle, and p is the air density. An automobile is moving at V = 40 miles per hour with C = 0.28, A = 24 ft², and p = 0.075 lb/ft³. Determine the force, in lbf, and the power, in hp, required to overcome aerodynamic drag.
- If a force is applied with a magnitude of 200 N at 30 degrees above the horizontal, what are the horizontal and vertical components of this force? Group of answer choices Fa,h= 136.667 N Fa,v= 87.334 N Fa,h= 200 N Fa,v= 200 N Fa,h= 173.2 N Fa,v= 100 N Fa,h= 150 n Fa,v= 50 NA particle of mass 1.2 kg is acted on by forces F, = 18î N, F, = -11î N, and F, = 9.0j N. What is its acceleration (in m/s?) in this case? (Express your answer in vector form.) m/s?Two forces A and B pull horizontally on a heavy box. Force B is directed 20degrees W of N and pulls twice as hard as force A. The resultant of these two pulls is 400 N directly northward. What are the possible magnitudes of force B? (Ans 1= 306.65 N; Ans 2 = 695.69 N) What are the possible magnitudes and directions of force A? (Ans. 153.33 N; 46.84degrees E of N; 347.84 N; 46.84degrees E of S) What solution is the more sensible solution and why? (Ans. 1 since the magnitudes are smaller)
- wo forces are acting on a 1.08 kg object. One force is directed completely in the negative x direction and has a magnitude of 8.3 N, The second force has a magnitude of 7.5 N and is directed 28∘28∘ to the right of the negative y axis. Assume standard Cartesian coordinates. Find the magnitude of the acceleration of the objectA helicopter with mass 2.95 x 104 kg has a position given by r(t) = (0.050ti + 5.5tj - 0.090t-k) m. Find the net force on the helicopter at t = 3.0 s. (Express your answer in vector form. Assume that Fis in newtons when t is in seconds. Do not include units in your answer.)Two forces act on a single point. The first force is 200N in the direction of S30◦W and the secondforce is 150N due east. Write each of these forces in vector form and then find the magnitude of theresultant vector.
- A force of 46N is applied horizontally to a box with a mass of 0.5kg. The block sits on a horizontal table where the coefficient of friction between the box and the table is .5. What is the acceleration of the box? (In m/s^2)A force ofF1= 50.0 N is directed at an angle of 60° above the x-axis. A second force of F2 = 50.0 N is directed at an angle of 60.0° below the x-axis.= 50.0 N is directed at an angle of 60.0° below the x-axis. What is the vector sum of these two forces?You decide to use a rope to pull your truck out of the mud. If your truck has a mass of 1,400 kg and the coefficient of static friction with the mud is 0.7, what is the maximum pull force the rope must be able to withstand in order to successfully overcome friction and free the truck from the mud? Assume g = 9.8 m/s^2 and answer in N.