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Tio people play tuz of war. The 110 kg person = the left pulls with 070 Nandun 'peron Onin cight pulls with 700 Ceemamnneanene people do nat rretease grip Irom...

Question

Tio people play tuz of war. The 110 kg person = the left pulls with 070 Nandun 'peron Onin cight pulls with 700 Ceemamnneanene people do nat rretease grip Irom the rope with either hand at any time (Hint: Consider the to prople ployinz 0qtor 0 Srstem; Ihcy move [ogether . Since I[ [5 Oxsunied that the rope deesntnnechondithartha nraplc Kecp pullng when Ihe Dekan thc kett Moic cerioin duttance person 0n the F'gOr mll move the somc distonce: Rercmber thot the netorce cithrtnlem [he [olal

Tio people play tuz of war. The 110 kg person = the left pulls with 070 Nandun 'peron Onin cight pulls with 700 Ceemamnneanene people do nat rretease grip Irom the rope with either hand at any time (Hint: Consider the to prople ployinz 0qtor 0 Srstem; Ihcy move [ogether . Since I[ [5 Oxsunied that the rope deesntnnechondithartha nraplc Kecp pullng when Ihe Dekan thc kett Moic cerioin duttance person 0n the F'gOr mll move the somc distonce: Rercmber thot the netorce cithrtnlem [he [olal ntaxs 0k [he 5elem UMe occeleratiot [he sistem, Mnnne athe muenilude Mlotue net torce tne 5 stemz What t5 duecuonoluc ncttorce I Salerne winat Is the magnitudc (in m/s2| ot the #cceteration ol te system? (Hirt: Usc the Hoarce cquaticn ) Whateann dinection the Aceleration 0tine stemi (24 What (aniudr nvs?, Aaceleration ofthetiptttlde purion? huwnuatruna mlenilud (In IV/s? ol sccelerarion ol tha Iaht slde person? Wnnnth magnitude (in NI of the net (orce (heIc (e-tide puann Mldl luathe eirectenol orce cheaena-eicerhrtion Knennlnennlct acting on tna Ioft-side person? PC) Whst is the magnitude 0/ the tension (he rope Nacons? (Hint Kolcn thr EMer Faxte [uamola Problam Port 'Mdca rou must Balale one side (kft Paten Weitpemanl ortoutatem or Your Jorcecouolijn_Iust Ilae | Jid In thar dco You hor autne Diccts saveth nprodlemtrom (nc questlorl couunlcnda Aa



Answers

Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force $F_{1}$ equal to $1.00 \times 102 \mathrm{~N}$ $1.00 \times 10^{2} \mathrm{~N}$ at an angle $\theta_{1}$ equal to $60.0^{\circ}$ with respect to the $+x$ direction (Figure 4-27). Player 2 exerts a force $F_{2}$ equal to $2.00 \times 102 \mathrm{~N} 2.00 \times 10^{2} \mathrm{~N}$ at an angle $\theta_{2}$ equal to $37.0^{\circ}$ 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. (a) Determine the force $\mathrm{F} 3^{-} \overrightarrow{\boldsymbol{F}_{3}}$ exerted by player 3. State your answer by giving the components of $\mathrm{F} 3^{-} \overrightarrow{\boldsymbol{F}_{3}}$ in the directions perpendicular to and parallel to the positive $x$ direction. (b) Redraw the diagram and add the force $\mathrm{F} 3^{-} \overrightarrow{\boldsymbol{F}_{3}}$ as carefully as you can. (c) Player 3's rope breaks, and player 2 adjusts by pulling with a force of magnitude $\mathrm{F}^{\prime} 2^{\prime}{ }_{2}^{\prime}$ equal to $1.50 \times 102 \mathrm{~N}$ $1.50 \times 10^{2} \mathrm{~N}$ at the same angle as before. In which direction is the acceleration of the box relative to the $+x$ direction shown? (d) In part (c) the magnitude of the acceleration is measured to be $10.0 \mathrm{~m} / \mathrm{s}^{2}$. What is the mass of the box? SSM Example 4-2


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