A mass m falls under gravity (force mg ) through a liquid whose viscosity is decreasing so that the retarding force is − 2 m v / ( 1 + t ) , where v is the speed of m. If the mass starts from rest, find its speed, its acceleration, and how far it has fallen (in terms of g ) when t = 1 .
A mass m falls under gravity (force mg ) through a liquid whose viscosity is decreasing so that the retarding force is − 2 m v / ( 1 + t ) , where v is the speed of m. If the mass starts from rest, find its speed, its acceleration, and how far it has fallen (in terms of g ) when t = 1 .
A mass
m
falls under gravity (force mg ) through a liquid whose viscosity is decreasing so that the retarding force is
−
2
m
v
/
(
1
+
t
)
,
where
v
is the speed of m. If the mass starts from rest, find its speed, its acceleration, and how far it has fallen (in terms of
g
)
when
t
=
1
.
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