A 1.20 kgkg block is attached to a spring with spring constant 18 N/mN/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 34 cm/scm/s.
What is the amplitude of the subsequent oscillations? What is the amplitude of the subsequent oscillations?
Initially the block was at rest. The energy imparted to the block by the student is
Substituting m=1.2kg, v=34cm/s=0.34m/s
When the block reaches the maximum displacement, the velocity of the block is zero, the energy of the block is converted into the potential energy.
The potential energy of the spring is
Solving for amplitude
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