Two horizontal forces, P and Q, are acting on a block that is placed on a table.

Question

Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P is directed to the left but the direction of Q is unknown; it could either be directed to the right or to the left. The object moves along the x-axis. Assume there is no friction between the object and the table. Here P = 4.6 N left and the mass of the block is 3.7 kg. For the case where the block moves with constant velocity, draw a force vector diagram showing all the forces on the block. Based on your diagram, what is the magnitude and direction of Q? For the case where the block moves with an acceleration of the block is +4.9 m/s2 right what is the magnitude and direction of Q? Find the magnitude and direction of Q when the acceleration of the block is -4.9 m/s2 left.

Explanation / Answer

a. Q is in the right direction (opposite to P) and has the same magnitude as P.

b. Q is in the right direction (opposite to P) and has maginitude 22.73 N

c. Q is in the left direction (same as P) and has maginitude 13.53 N

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