Q. Three astronauts, propelled by jet backpacks, push and guide a 137 kg asteroid toward a processing dock, exerting the forces, with F1 = 27 N, F2 = 55 N, F3 = 43 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?

Q. Three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65.0 N. If m1 = 12.0 kg, m2 = 24.0 kg, and m3 = 31.0 kg, calculate (a) the magnitude of the system's acceleration, (b) the tension T1, and (c) the tension T2.