Only two forces act on an object, as shown in the figure. What is the accelerati
ID: 1684758 • Letter: O
Question
Only two forces act on an object, as shown in the figure. What is the acceleration of the object, if its mass is 12kg?(The custom diagram feature isn't working, so here's my best explanation... One vector, starting from the origin, is horizontal and pointing in the positive x direction. This vector is labeled F1=150N. The second vector starts at the origin,and is pointing southeast, located in the fourth quadrant, labeled F1=200N. The angle between the two vectors is 40 degrees. Hope this helps).
Only two forces act on an object, as shown in the figure. What is the acceleration of the object, if its mass is 12kg?
(The custom diagram feature isn't working, so here's my best explanation... One vector, starting from the origin, is horizontal and pointing in the positive x direction. This vector is labeled F1=150N. The second vector starts at the origin,and is pointing southeast, located in the fourth quadrant, labeled F1=200N. The angle between the two vectors is 40 degrees. Hope this helps).
Explanation / Answer
m = 12 kg, F1 = 150 N. F2 = 200 N. angle A = 40 degrees. F1x = F1, F1y = 0 F2x = F2cos(A), F2y = -F2sin(A) net foece = F Fx = F1 + F2cos(A) = 303.2 N Fy = -F2sin(A) = -128.6 N F = 329.3 N, direction: angle (below +x) = arctan(128.6/303.2) = 30.0 degrees a = F/m = 27.4 m/s^2 angle (below +x) = 30.0 degrees
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