Homework Help? Physics?

Question

A balsa wood block of mass 57 g floats on a lake, bobbing up and down at a frequency of 3.4 Hz

Part A

What is the value of the effective spring constant of the water?

Part 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 1

Part A

The mass of the balsa wood block is .

.

The block bobbing up and down at a frequency is .

Find the effective spring constant of the water.

Assume the block is in Simple harmonic motion.

Frequency of object in simple harmonic motion is  , where is mass and is spring constant.

.

The effective spring constant of the water is .

Answer 2

Part B:

The partially filled water bottle of mass .

The bottle is almost the same size and shape of the balsa block.

Find at what frequency the bottle to bob up and down.

Frequency of object in simple harmonic motion is  , where  is mass and  is spring constant.

From part A: .

Substitute and  in .

.

The bottle to bob up and down at a frequency is .