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Three teenagers are pulling on ropes tied to a car that isstuck in a ravine. Min

ID: 1755267 • Letter: T

Question

Three teenagers are pulling on ropes tied to a car that isstuck in a ravine.   Ming pulls with a force of 789 Nbearing 48 degrees. Eduardo pulls with a force of 866 Nbearing 95 degrees. Ranjit pulls with a force of 458 Nbearing 115 degrees. Calculate the resultant magnitude anddirection of the force on the car. Thaaaanks! Three teenagers are pulling on ropes tied to a car that isstuck in a ravine.   Ming pulls with a force of 789 Nbearing 48 degrees. Eduardo pulls with a force of 866 Nbearing 95 degrees. Ranjit pulls with a force of 458 Nbearing 115 degrees. Calculate the resultant magnitude anddirection of the force on the car. Thaaaanks!

Explanation / Answer

the magnitude of the resultant force on the car is F = (Fx2 +Fy2)1/2 Fx = F1x + F2x +F3x = F1 * cos1 +F2 * cos2 + F3 *cos3 and Fy = F1y + F2y +F3y = F1 * sin1 +F2 * sin2 + F3 *sin3 F1 = 789 N and 1 =48o, F2 = 866 N and 2 =95o and F3 = 458 N and 3 =115o the direction of the resultant force on the car is tan = (Fy/Fx) or =tan-1(Fy/Fx)
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