Question

A metal block of mass m slides on a horizontal surface that has
been lubricated with a heavy oil such that the block su?ers a
viscous resistance that varies as the three-halves power of the
speed, that is, F(v) = −cv^{3/2}. If the block is given an
initial speed v0, calculate (a) the velocity as a function of time
v(t) and (b) the velocity as a function of position. (c) Use these
results to show that the block cannot travel farther than
2mv_{0}^{1/2} / c.

Answer #1

(a)

Velocity as a function of time

b)

c)

Block stops at distance , that is

distance traveled by metal block is

-------------------------

The horizontal surface on which the block slides is
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--> [±1.9m/s2]
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1)
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