Calculate the mass of the block, the period of the motion, and the maximum speed of the block. A block of unknown mass is attached to a spring with a spring constant of 10 N/m and undergoes simple harmonic motion with an amplitude of 8.0 cm. When the block is 1/4 of the way between its equilibrium position and the endpoint, its speed is measured to be 30.0 cm/s.
To calculate the block's mass, first calculate the energy of the system using the formula `E=1/2kA^2` , where E is the energy in Joules, k is the spring constant in N/m, and A is the amplitude in m. Converting 8 cm into meters gives 0.08 m for the amplitude. So
Since the total energy of the system is the sum of its kinetic and...
(The entire section contains 190 words.)
check Approved by eNotes Editorial