Two determined scholars are attempting to defy on old adage by forcing a mule to

Question

Two determined scholars are attempting to defy on old adage by forcing a mule to a river and making it drink (a top view of the situation is shown). The force on the right has a magnitude of 120 N and inclined 60.0 degrees above the x-axis above the x-axis. The second force's magnitude is 80.0 N and is directed 75.0 degrees above the x-axis. (a) Compute the effective force (magnitude and direction) exerted on the mule. (b) If the mule doesn't budge, what force must it be exerting (magnitude and direction)?

Explanation / Answer

A) Fnet = sqrt (120^2 +80^2 +2*120*80* cos 45 degree)

= 185.4 N

Direction = 60 + arctan(80 sin 45 degree / (120+80 cos 45 degree)

= 60+17.76 degree

= 77.76 degree above +x

B) magnitude =185.4 N

Direction = 180+77.76 above x axis

= 257.76 degree above + x axis

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