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(II) A balsa wood block of mass 52 g floats on a lake, bobbing up and down at a
Chapter 11, Problem 17P(choose chapter or problem)
Problem 17P
(II) A balsa wood block of mass 52 g floats on a lake, bobbing up and down at a frequency of 3.0 Hz. (a) What is the value of the effective spring constant of the water? (b) 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.
Questions & Answers
QUESTION:
Problem 17P
(II) A balsa wood block of mass 52 g floats on a lake, bobbing up and down at a frequency of 3.0 Hz. (a) What is the value of the effective spring constant of the water? (b) 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.
ANSWER:
Solution 17P:
Step 1 of 2:-
a)
Here we have to find the effective spring constant of water.
The mass of the block is 52 g or 0.052 kg.
The frequency of oscillation is, .
We know that,
---------------(1)
Where k is the spring constant.
M is the mass.
So, from equation (1),
.
So, the effective spring constant is 18.468.