Two bodies P and Q on a smooth horizontal surface are connected by a light cord. The mass of P is greater than that of Q. A horizontal force F (of magnitude F) is applied to Q, accelerating the bodies to the right as shown in the attachment below. The magnitude of the force exerted by the connecting cord on body P will be

Two blocks are positioned on surfaces, each inclined at the same angle of 59.6 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.24 kg, and this time there is NO friction. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2?     6.96 kg     3.09 kg     4.64 kg     1.74 kg

Four people (A-B) push heavy crates across a level surface. Each crate is on an ideal, wheeled cartand experiences no resistive forces. Person A pushes with a force F and has a crate with massm. The other people's push forces and crate masses are given relative to person A. Rank the fourcrates by the magnitude of their acceleration from least to greatest. If you was ranking them as symbols "<" and "="."=". For example "W < X = Y < Z". what would be the order. please help  see picture for options.

An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45⸰ North of East, F2 = 750 N @ 30⸰ West of North and F3 = 400 N @ 30⸰ South of West.  Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium.  Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.