A tugboat with a mass of mtug pushes a barge with a mass of mþarge SO that, starting from rest, they reach a final speed vf. Assume that gravity and the water's buoyancy cancel each other, and that we need to consider only interactions through the tug's propeller and front bumper. (a) By how much does the tugboat's momentum change? (b) How much impulse did the tugboat transfer to the barge (through the bumper)? (c) How much impulse, therefore, did the tugboat receive from the barge (through the bumper)? (d) How much impulse did the propeller transfer to the tugboat? (e) Evaluate your result from part (d) for mtug [Aptug] m/s. = 2.0 × 10° kg, mbarge = 8.0 x 10° kg and vf = 2.0 2.5 m/s you should find Check: For Mtug 2.3 x 106 kg m/s. = 2.2 x 10° kg, mþarge = 7.0 × 105 kg and Vf %3D prop

A tugboat with a mass of mtug pushes a barge with a mass of mþarge SO that, starting from rest, they reach a final speed vf. Assume that gravity and the water's buoyancy cancel each other, and that we need to consider only interactions through the tug's propeller and front bumper. (a) By how much does the tugboat's momentum change? (b) How much impulse did the tugboat transfer to the barge (through the bumper)? (c) How much impulse, therefore, did the tugboat receive from the barge (through the bumper)? (d) How much impulse did the propeller transfer to the tugboat? (e) Evaluate your result from part (d) for mtug [Aptug] m/s. = 2.0 × 10° kg, mbarge = 8.0 x 10° kg and vf = 2.0 2.5 m/s you should find Check: For Mtug 2.3 x 106 kg m/s. = 2.2 x 10° kg, mþarge = 7.0 × 105 kg and Vf %3D prop