A block of mass m is sliding over an inclined plane and is connected by a cable to a solid of fixedmass M. In a first experiment, an oil of viscosity 1 is used, resulting in a terminal velocity V1 ofthe block. When an oil of viscosity 2 is used, the terminal velocity is V2. Note that the blockmass m, and the suspended mass M are the same in both experiments.a) Assuming a linear velocity profile in the gap between the bloc and the inclined plane, showthat the ratio of the two viscosities is inversely proportional to that of the two speeds.b) When an oil of viscosity 0.1Pa.s is used, the terminal velocity is 20cm/s. Determine the valueof the terminal velocity when a liquid with a viscosity twice that of the oil is used.
A block of mass m is sliding over an inclined plane and is connected by a cable to a solid of fixed
mass M. In a first experiment, an oil of viscosity 1 is used, resulting in a terminal velocity V1 of
the block. When an oil of viscosity 2 is used, the terminal velocity is V2. Note that the block
mass m, and the suspended mass M are the same in both experiments.
a) Assuming a linear velocity profile in the gap between the bloc and the inclined plane, show
that the ratio of the two viscosities is inversely proportional to that of the two speeds.
b) When an oil of viscosity 0.1Pa.s is used, the terminal velocity is 20cm/s. Determine the value
of the terminal velocity when a liquid with a viscosity twice that of the oil is used.
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