A river flows due east at 1 m/s and is 75 meters wide.  A sw…

A river flows due east at 1 m/s and is 75 meters wide.  A swimmer is on the south shore and wishes to cross to a point directly opposite on the north shore.  If the swimmer moves at 1.6 m/s relative to the water, how long will it take them to cross the river? 

A crate of mass m is being pushed at constant speed, v, up a…

A crate of mass m is being pushed at constant speed, v, up a friction-less ramp of angle theta while being acted on by, in addition to gravity and the normal force, two externally applied forces; Fh in the horizontal direction, and Fv vertically down. What is the value of Fv?  

A river flows due east at 1 m/s and is 100 meters wide.  A s…

A river flows due east at 1 m/s and is 100 meters wide.  A swimmer is on the south shore and wishes to cross to a point directly opposite on the north shore.  If the swimmer moves at 1.6 m/s relative to the water, how long will it take them to cross the river?