Question

where is the mass when the velocity is zero

Answer 1

Hooke's Law
We will begin our
discussion with an
investigation of
the forces exerted
by a spring on a
hanging mass.
Consider the
system shown at
the right with a
spring attached to
a support. The spring hangs in a relaxed,
unstretched position. If you were to hold the
bottom of the spring and pull downward, the
spring would stretch. If you were to pull with
just a little force, the spring would stretch
just a little bit. And if you were to pull with a
much greater force, the spring would stretch
a much greater extent. Exactly what is the
quantitative relationship between the amount
of pulling force and the amount of stretch?
To determine this quantitative relationship
between the amount of force and the
amount of stretch, objects of known mass
could be attached to the spring. For each
object which is added, the amount of stretch
could be measured. The force which is
applied in each instance would be the
weight of the object. A regression analysis
of the force-stretch data could be performed
in order to determine the quantitative
relationship between the force and the
amount of stretch. The data table below
shows some representative data for such an
experiment.