Question

A cork in a pond (at x = 0) bobs up and down in the water as a transverse ripple passes beneath it in the +x direction. The period of the cork is 0.58s and the distance between wave crests is 2.04m. The maximum vertical distance the cork travels, trough to crest, is 2.6cm.

a) Calculate the wave speed

b) At t=0, the cork is at the trough of the wave. Determine the equation y(x,t) of the displacement of the water wave. Include units

c) If the cork has a mass of 18.0 grams, calculate the upward buoyant force exerted by the water at t=0.

Answer 1

Answer:

Given that:

A cork in a pond (at x= 0 ) bobs up and down in the water as a transverse ripple passes beneath it in the + x direction. the period of the cork is 0.58s and the distance between wave crests is 2.04m .

The maximum vertical distance the cork travels, through to crest, is 2.6cm.

T= 0.58 s

2A = 2.6 cm

a) wave speed

at t= 0 x=0 y(0,0)=-A

so

c) buoyant force = weight of fluid displaced