Two forces, F1 and F2, act at a point. F₁ has a magnitude of 9.80 N and is directed at an angle of 58.0° above the negative x axis in the second quadrant. F₂ has a magnitude of 5.60 N and is directed at an angle of 52.1° below the negative x axis in the third quadrant.

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Three forces are applied to an object, as shown in the figure. Force F₁ has a magnitude of 24.3 newtons (24.3 N) and is directed 30.0° to the left of the +y axis. Force F₂ has a magnitude of 15.1 N and 2 points along the +x axis. What must be the (a) magnitude and (b) direction (specified by the angle in the drawing) of the third force F3 such that the vector sum of the three forces is O N? (a) Number i (b) Number F3 30.0% i F₂ +x Units Units

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 = -6.1 N and the mass of the block is 3.8 kg. P (a) What is the magnitudeand direction of Q (in N) when the block moves with constant velocity? (Indicate the direction with the sign of your answer.) 6.1 N (b) What is the magnitude and direction of Q (in N) when the acceleration of the block is +7.5 m/s2. (Indicate the direction with the sign of your answer.) X 22.4 The acceleration given here is due to the net force acting on the object. N (c) Find the magnitude and direction of Q (in N) when the acceleration of the block is -7.5 m/s2. (Indicate the direction with the sign of your answer.) X -34.6 What is the direction of motion of the object when the acceleration is…