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tutorial sheet 2 solution - SOLUTION OF TUTORIAL SHEET 2 1...

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SOLUTION OF TUTORIAL SHEET 2 1. It’s convenient to start from H , which is dimensionless . Then Ft must have unit in radian, hence F unit is radian/second . We also see that D/kT has to be dimensionless, so D must have the same dimension as kT. It follows that D has the unit of kg m 2 s -2 . A , E and G must have the same dimension, which is the same as dimension of μe D/kT . Hence, their dimension is the same as dimension of μ. T he unit is kg m 2 s -2 . B must have the same dimension as x, which has unit of m . must have unit kg m 2 s -2 , so the unit of C is kg -1 m -1 s 2 . must have unit of kg m 2 s -2 , hence I unit has to be kg s -2 . 2. The boat has to pass from A to B in a straight line (300 m) in 1 minute. This means the boat velocity relative to a non-moving observer must be in the positive y-direction. In the positive x-direction, there are already two velocities contributing: river velocity (15 m/s) and wind velocity (10 cos(30) m/s). In order to move straight, to boat has to nullify those velocities.
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