A particle of mass m is subject to a force F(t) = me-bt. The initial position and speed are zero. Find x(t). = Consider a particle that feels an angular force only, of the form Fo mrė. (There's nothing all that physical about this force. It simply makes the F = ma equations solvable.) Show that r = √Alnr + B, where A and B are constants of integration, determined by the initial conditions.

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A particle of mass m is subject to a force F(t) = me-bt. The initial position
and speed are zero. Find x(t).
=
=
Consider a particle that feels an angular force only, of the form Fe mrė.
(There's nothing all that physical about this force. It simply makes the F =
ma equations solvable.) Show that r = √Alnr B, where A and B are
constants of integration, determined by the initial conditions.
Transcribed Image Text:A particle of mass m is subject to a force F(t) = me-bt. The initial position and speed are zero. Find x(t). = = Consider a particle that feels an angular force only, of the form Fe mrė. (There's nothing all that physical about this force. It simply makes the F = ma equations solvable.) Show that r = √Alnr B, where A and B are constants of integration, determined by the initial conditions.
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