While sliding a couch across a floor, Andrea and Jennifer exert forces FA and F, on the couch. Andrea's force is due north with a magnitude of 140.0 N and Jennifer's force is 20° east of north with a magnitude of 170.0 N. (a) Find the net force (in N) in component form. N (b) Find the magnitude (in N) and direction (in degrees counterclockwise from the east axis) of the net force. magnitude direction 305.571 10.956 N x counterclockwise from the east axis (c) If Andrea and Jennifer's housemates, David and Stephanie, disagree with the move and want to prevent its relocation, with what combined force Fos (in N) should they push so that the couch does not move? (Enter your answer in component form.) Fos 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 >

F1 F2 Given that F1 825 N, F2 = 630 N, and a = 32° , determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. . The magnitude of the resultant force in N is (round to two decimal places) : N The direction of the resultant force in degrees is (round to two decimal places) : degrees

A crate sits on a wooden horizontal surface (a wooden floor). The figure shows a top view of this looking down onto the crate (gravity would be acting into the page). Man one and man two apply forces F1 and F2, at angles of θ1 and θ2 respectively, with the goal of moving the crate in the x-direction. A resultant force of Fr = 30.5 lbs in the x-direction is required to accomplish this. All of the forces are in the xy plane. If man one applies a force of F1 = 21 lbs at an angle of θ1 = 16° from the positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. c) Combine these two equations to develop an expression for tan(θ2) in terms of Fr, F1, F2, and θ1. Remember that the crate does not move along the y-direction.  d)Solve numerically for the value of θ2 in degrees.  e)Using this value for θ2 and other known values, solve numerically for the value of F2 in lbs.