A block of mass is attached to a horizontal light spring of force constant and…
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A block of mass 0.50kg is attached to a horizontal light spring of force constant 200Nm−1 and performs simple harmonic oscillations on a frictionless table.
Answer the following questions related to the motion of the block:
(i) Using appropriate physical reasoning, show that the time period of oscillation of the block does not depend on the amplitude of its motion.
(ii) If the amplitude is increased from 0.040m to 0.080m, state with reasons whether (a) the time period and (b) the total mechanical energy of the system change, and if so, how.