Question

Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force F1 equal to 300 N at an angle θ1 equal to -60.0° with respect to the +x-direction, as shown in the figure. Player 2 exerts a force F2 equal to 400 N at an angle θ2 equal to 37.0° with respect to the +x-direction. The view in the figure is from above. Ignore friction and note that gravity can be ignored in this problem. Determine the force F3 exerted by player 3. State your answer by giving the x- and y-components, F3x and F3y, respectively. An XY coordinate system with the X-axis pointing horizontally to the right and the Y-axis pointing straight up. A box is centered on the X-axis just to the right of the origin. Two forces act on the box. Force F subscript 1 points down and to the right at an angle theta subscript 1 below the X-axis. Force F subscript 2 points up and to the right at an angle theta subscript 2 above the X-axis. F sub 2 is longer than F sub 1. F3x = N F3y = N Player 3's rope breaks and player 2 adjusts by pulling with a force of magnitude F'2 equal to 350 N at the same angle as before. Defining angles above the x-axis as positive and those below as negative, at what angle θ is the acceleration of the box relative to the +x-direction? θ = ° The magnitude of the acceleration is measured to be 10.0 m/s^2. What is the mass m of the box?

          Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force F1 equal to 300 N at an angle θ1 equal to -60.0° with respect to the +x-direction, as shown in the figure. Player 2 exerts a force F2 equal to 400 N at an angle θ2 equal to 37.0° with respect to the +x-direction. The view in the figure is from above. Ignore friction and note that gravity can be ignored in this problem. Determine the force F3 exerted by player 3. State your answer by giving the x- and y-components, F3x and F3y, respectively. An XY coordinate system with the X-axis pointing horizontally to the right and the Y-axis pointing straight up. A box is centered on the X-axis just to the right of the origin. Two forces act on the box. Force F subscript 1 points down and to the right at an angle theta subscript 1 below the X-axis. Force F subscript 2 points up and to the right at an angle theta subscript 2 above the X-axis. F sub 2 is longer than F sub 1. F3x = N F3y = N
Player 3's rope breaks and player 2 adjusts by pulling with a force of magnitude F'2 equal to 350 N at the same angle as before. Defining angles above the x-axis as positive and those below as negative, at what angle θ is the acceleration of the box relative to the +x-direction? θ = ° The magnitude of the acceleration is measured to be 10.0 m/s^2. What is the mass m of the box?

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