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Only two horizontal forces act on a 7.7 kg body. One force is 7.0 N, acting...

Only two horizontal forces act on a 7.7 kg body. One force is 7.0 N, acting due east, and the other is 4.3 N, acting 40° north of west. What is the magnitude of the body's acceleration?

Three astronauts, propelled by jet backpacks, push and guide a 133 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F1 = 27 N, F2 = 54 N, F3 = 38 N, θ1 = 30°, and θ3 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis in the range of (-180°, 180°]) of the asteroid's acceleration?

The figure shows a box of dirty money (mass m1 = 4.5 kg) on a frictionless plane inclined at angle θ1 = 23°. The box is connected via a cord of negligible mass to a box of laundered money (mass m2 = 1.5 kg) on a frictionless plane inclined at angle θ2 = 53°. The pulley is frictionless and has negligible mass. What is the tension in the cord?

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