Two forces are exerted on an object: a force A with an x-component of 9.00[N] and a y-component of -2.40[N], and a force B with an x-component of -13.30[N] and a y-component of 23.60[N]. Assuming these are the only two forces on the object, what is the magnitude of the net force on the object? Express your answer in 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 215 N, and Charles pulls with force F cof magnitude 181 N. Note that the direction of F cis 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 141° Betty (a) Number i Units (b) Number i Units

A particle, which remains at rest, is acted on by three forces, P, Q and R, and no others, as shown in the diagram attached. The force P acts horizontally to the left, the force Q acts vertically upwards and the force R acts downwards and to the right at an angle of 30◦ to the horizontal. The magnitude of P is 52 N. Let the magnitudes of Q and R in newtons be Q and R respectively. Take the Cartesian unit vectors i and j to be in the opposite direction to P and in the same direction as Q, respectively.   a) Find expressions for the component forms of the three forces P, Q and R. b) Hence or otherwise find Q to two significant figures.

Three forces act on a moving object. One force has a magnitude of 75.0 N and is directed due north. Another has a magnitude of 54.6 N and is directed due west. What must be (a) the magnitude and (b) the direction of the third force, such that the object continues to move with a constant velocity? Express your answer as a positive angle south of east. (a) Number i (b) Number Units Units