Question

A spring with spring constant 250 N/m hangs from the ceiling. James Bond attaches a block of mass 0.5 kg to the unstretched spring and releases it from rest. Part A How far below the starting point does the block fall before coming momentarily to rest? IVO ACOM O O ? 5.88 Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Part B What is the maximum speed the block will reach as it falls? IVO AQ O ? 0.88 m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 6 attempts remaining

Answer 1

PART (A)

kr2 -= mgr 2

2mg 2*0.5*9.8 -= 0.0392 m 250

PART (B)

The spring mass system is executing a shm with equation ,

y = Acos(wt - A)

9610'0 = = v

$\omega =\sqrt{\frac{k}{m}}$

Umar = Aw

250 Umar = 0.0196 * V V 0.5 = 0.438 m/s

PART (C)

The mass returns to its original position in one time period,

T = 2*,* – 2* V = 0.281 seconds