(II) A balsa wood block of mass 52 g floats on a lake, bobbing up and down at a frequency of 3.0 Hz. (3) What is the value of the effective spring constant of the water? (6) A partially filled water bottle of mass 0.28 kg and almost the same size and shape of the balsa block is tossed into the water. At what frequency would you expect the bottle to bob up and down? Assume SHM.
Balsa wood weight is 52 gm. Frequency is 3.0 Hz
Assume S.H.M. f =
Spring constant of water is ‘k’ = f^2*m = 3*3*52 = 468 gm /sec^2
A bottle of same shape and size with weight of .28 Kg is put in water. What is the frequency?
Use f =
k = 468 gm/ sec^2
m = .28 kg = 280 gm
So f = (468/280) ^ 0.5 = 1.2928 ~ 1.3 Hz