6. ●● Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force F₁ equal to 1.00 × 10² N at an ngle 0₁ equal to 60.0° with respect to the + direction (Figure 4-27). Player 2 xerts a force F₂ equal to 2.00 × 10² N at an angle 02 equal to 37.0° with espect to the + direction. The view in the figure is from above. Ignore riction and note that gravity can be ignored in this problem. (a) Determine he force F3 exerted by player 3. State your answer by giving the components of F3 in the directions perpendicular to and parallel to the positive lirection. (b) Redraw the diagram and add the force F3 as carefully as you an. (c) Player 3's rope breaks, and player 2 adjusts by pulling with a force of nagnitude F₂ equal to 1.50 × 10² N at the same angle as before. In which lirection is the acceleration of the box relative to the + direction shown? (d) n part (c) the magnitude of the acceleration is measured to be 10.0 m/s². What is the mass of the box? Example 4-2 0₁ F₁ 1 F₂ 0₂ X 3e, © 2021 W. H. Freeman and Company Freedman, College Physics,

Physics for Scientists and Engineers
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Chapter3: Vectors
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36... Three rugby players are pulling horizontally on ropes attached to a box,
which remains stationary. Player 1 exerts a force F₁ equal to 1.00 × 10² N at an
angle ₁ equal to 60.0° with respect to the + direction (Figure 4-27). Player 2
exerts a force F2 equal to 2.00 × 10² N at an angle 02 equal to 37.0° with
respect to the + direction. The view in the figure is from above. Ignore
friction and note that gravity can be ignored in this problem. (a) Determine
the force F3 exerted by player 3. State your answer by giving the components
of F3 in the directions perpendicular to and parallel to the positive a
direction. (b) Redraw the diagram and add the force F3 as carefully as you
can. (c) Player 3's rope breaks, and player 2 adjusts by pulling with a force of
magnitude F₂ equal to 1.50 × 10² N at the same angle as before. In which
direction is the acceleration of the box relative to the + direction shown? (d)
In part (c) the magnitude of the acceleration is measured to be 10.0 m/s².
What is the mass of the box? Example 4-2
0₂
0₁
F₁
Figure 4-27 Problem 36
№°º°
Freedman, College Physics, 3e, © 2021
W. H. Freeman and Company
Transcribed Image Text:36... Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force F₁ equal to 1.00 × 10² N at an angle ₁ equal to 60.0° with respect to the + direction (Figure 4-27). Player 2 exerts a force F2 equal to 2.00 × 10² N at an angle 02 equal to 37.0° with respect to the + direction. The view in the figure is from above. Ignore friction and note that gravity can be ignored in this problem. (a) Determine the force F3 exerted by player 3. State your answer by giving the components of F3 in the directions perpendicular to and parallel to the positive a direction. (b) Redraw the diagram and add the force F3 as carefully as you can. (c) Player 3's rope breaks, and player 2 adjusts by pulling with a force of magnitude F₂ equal to 1.50 × 10² N at the same angle as before. In which direction is the acceleration of the box relative to the + direction shown? (d) In part (c) the magnitude of the acceleration is measured to be 10.0 m/s². What is the mass of the box? Example 4-2 0₂ 0₁ F₁ Figure 4-27 Problem 36 №°º° Freedman, College Physics, 3e, © 2021 W. H. Freeman and Company
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