A $ 0.20 $ $ \text{kg} $ object moves along a straight line. The net force acting on the object varies with the object’s displacement as shown in the graph above. The object starts from rest at displacement $ x = 0 $ and time $ t = 0 $ and is displaced a distance of $ 20 $ $ \text{m} $. Determine each of the following.

Question

A $ 0.20 $ $ \text{kg} $ object moves along a straight line. The net force acting on the object varies with the object&#8217;s displacement as shown in the graph above. The object starts from rest at displacement $ x = 0 $ and time $ t = 0 $ and is displaced a distance of $ 20 $ $ \text{m} $. Determine each of the following.(a) The acceleration of the particle when its displacement is 6 m.
, (b) The time taken for the object to be displaced the first 12 m.
, (c) The amount of work done by the net force in displacing the object the first 12 m.
, (d) The speed of the object at displacement x = 12 m.
, (e) The final speed of the object at displacement x = 20 m.
:

Rachel · Accepted Answer

$20 \, \text{m/s}^2$
$1.095 \, \text{s}$
$48 \, \text{J}$
$21.9 \, \text{m/s}$
$\boxed{25.3 \, \text{m/s}}$

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