Three astronauts, propelled by jet backpacks, push and guide a 114 kg asteroid toward a processing dock, exerting the forces shown in the figure,

Three astronauts, propelled by jet backpacks, push and guide a 114 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F1 = 32 N, F2 = 52 N, F3 = 39 N, θ1 = 30°, and θ3 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis) of the asteroid’s acceleration?

 

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