A $20 \, \text{g}$ piece of clay moving at a speed of $50 \, \text{m/s}$ strikes a $500 \, \text{g}$ pendulum bob at rest. The length of a string is $0.8 \, \text{m}$. After the collision, the clay-bob system starts to oscillate as a simple pendulum.

Question

A $20 \, \text{g}$ piece of clay moving at a speed of $50 \, \text{m/s}$ strikes a $500 \, \text{g}$ pendulum bob at rest. The length of a string is $0.8 \, \text{m}$. After the collision, the clay-bob system starts to oscillate as a simple pendulum.(a) What is the speed of the clay-bob system after the collision?
, (b) What is the maximum angular displacement of the pendulum?
, (c) What is the period of the clay-bob oscillating system? Treat this system as a simple pendulum with a small oscillation, regardless of the answer you got in part B.
, (d) What is the total energy of the oscillating system?
:

Rita · Accepted Answer

$1.92\,\text{m/s}$
$40.1^{\circ}$
$1.79\,\text{s}$
$0.961\,\text{J}$

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