Given information
Given values in this question:
The motion has an amplitude of: ( part b in this question)
The mass consists of: g
The constant of spring is:N/m
At the mean location, the starting speed is: m/s
The particle's velocity at may be calculated as,
Formula used:
The kinetic energy may be calculated as follows:
Step-by-step explanation
The force in SHM works on the particle in such a way that it attempts to bring it to the mean position. The negative of the square of displacement is directly proportional to the particle's acceleration. Because the displacement at the mean position is zero, the acceleration is likewise zero, resulting in the maximum velocity.
The displacement is greatest at the extreme location, therefore the potential energy is greatest as well.
The mechanical energy is constant since only conservative forces are at work.