Question

A block is attached to a spring. It is sliding back and forth on a frictionless surface. The graph below represents the displacement of the block from equilibrium as a function of time.

Displacement(cm) . 15 time(s)

Evaluate each of the following statements:

True False Greater than Equal to Less than The speed at point G is at a maximum.

True False Greater than Equal to Less than The amplitude of the motion is 30cm.

True False Greater than Equal to Less than The speed at point B is _____ the speed at point H.

True False Greater than Equal to Less than The speed at point B is _____ the speed at point F.

Answer 1

(a) The speed at point G is at a maximun. True Explonation & • At mean position, at 6 speed is maximum. since there is no displacement, elastic potential Energy is zero and it acquises maxionum kinetic Energy. TE=KETP.E when, P.E=0 K.E = nox. (6) The amplitude of motion is 30cm. Explanation The amplitude is measured from the Hence amplitude is 15cm. False. mean position (6) The speed at point B is less than the speed of point H. Explanation! As the displacement is more in B , it acquires less kiE (more pot) and the displacement is less in t from the mean point hente aquire more speed. The speed at point B is equal to the speed of at point F. Explanation: At point B and f, the magnitude of displacement from mean position is same se loom. At this state 60th has same potential energy and hence same kiE.