Find the magnitude of the resultant force on the balloon.?

Okay.. I really don't know how to do these balloon questions. Please Please help!





1)Four forces act on a hot air balloon, as shown from the side.


481 N north


773 N east


216 N south


333 N west


a)Find the magnitude of the resultant force on the balloon. Answer in units of N.


b) Find the direction of the resultant force (in relation to the 773 N force, with up being positive.) Answer in units of degrees.





2) Four forces act on a hot air balloon, as shown from the side. (Draw vectors to scale on a graph to determine the answer.)


a) Find the magnitude of the resultant force on the balloon. Answer in units of N. Your answer must be within +/- 5%.


b)Find the direction of the resultant force (in relation to the 773 N force, with up being positive.) Answer in units of degrees. Your answer must be within +/- 5%.

Find the magnitude of the resultant force on the balloon.?
We can simplify the problem by combining opposing


forces (thus reducing 4 vectors to 2).





481N north - 216N south = 265N north


773N east - 333N west = 440N east





To solve this, please refer to the following drawing


(which is NOT drawn to scale):





http://aycu03.webshots.com/image/34282/2...





To solve for angle "a":





tan(a) = 440/265


a = arctan(440/265)


a = arctan(1.66078)


a = 58.94 degrees





The magnitude of the force is:





x^2 = 440^2 + 265^2


x^2 = 193600 + 70225


x^2 = 263825


x = 513.64N





For part two, I'll leave it to you to solve the problem


graphically.





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