A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply a force FA, as part a of the drawing shows. By itself, however, force FA is insufficient. Therefore, two additional forces FB and Fc are applied, as in part b of the drawing. Each of these additional forces has the same magnitude F. The magnitude of the resultant force acting on the elephant in part b of the drawing is k times larger than that in part a. Find the ratio F/FA when k = 1.92. Fg FA 24 F 24 FC (a) (b) F/FA =Number i Units

A 100. N force is applied to a 21.2 kg crate to slide it along a rough horizontal surface. The diagram shows the forces acted on the crate in this situation. What was the magnitude of the normal force acting on the crate? (a) 208 N                       (b) 258 N (c) 121 N (d) 69.6 N (e) 158 N

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 >

In the figure, a crate of mass m = 83 kg is pushed at a constant speed up a frictionless ramp (0 = 32°) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number (b) Number i Units Units