The bireme was an ancient ship used by the Phoenicians and other peoples associated with the Mediterranean world. The velocity of a particular bireme is the resultant of 3 velocities: The velocity created by the movement of its oars in still water, which is 4 km/h N 30° E. The velocity created by the wind hitting the sail in still water at 10 km/h N 17° W. The ship is also experiencing a 2 km/h current flowing due East. a. What is the resultant velocity of the ship (including direction)? b. Assuming the ship is heading directly for a port 150 km away, and assuming the wind, current and rowers maintain constant speed, how long will it take to reach its destination?
Please help me with these two questions. Please show all your work
QUESTION #1
The bireme was an ancient ship used by the Phoenicians and other peoples associated with the Mediterranean world. The velocity of a particular bireme is the resultant of 3 velocities: The velocity created by the movement of its oars in still water, which is 4 km/h N 30° E. The velocity created by the wind hitting the sail in still water at 10 km/h N 17° W. The ship is also experiencing a 2 km/h current flowing due East.
a. What is the resultant velocity of the ship (including direction)?
b. Assuming the ship is heading directly for a port 150 km away, and assuming the wind, current and rowers maintain constant speed, how long will it take to reach its destination?
QUESTION #2
A 8 kg decoration hangs from the ceiling. It is suspended by 2 wires. The first wire forms a 40° angle with the ceiling. The second wire forms a 50° angle with the ceiling.
a. Find the tension in the 2 wires (including magnitude and direction)
b. Assuming the wire that forms the 40° angle with the ceiling has a length of 0.3 metres, how far below the ceiling is the decoration suspended?
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