Sound in water travels at a velocity governed by the relation v = √(B/rho) where B is the bulk modulus and rho is the density. For salt water, take B = 2.28 × 109 Pa and rho = 1043 kg/m3. A whale sends out a high frequency (10 kHz) song to another whale 1.0 km away.

t = 0.67635 s

n = 6764

Explanation:

Given:

- The velocity of sound in water v:

                                    v = √(B/rho)

Where, B: Bulk Modulus = 2.28*10^9 Pa

            rho: Density of salt water = 1043 kg/m^3

- The wale sends out a high frequency f = 10 kHz

- The distance between two wales s = 1.0 km

Find:

- Time taken for the sound to travel between whales t?

- How many wavelengths can fit between the two whales n?

Solution:

- The time taken for the sound to travel from one whale to another can be determined from:

                               t = s / v

                               t = s / √(B/rho)

                               t = s*√(rho/B)

- Plug in the values:

                               t = 1000*√(1043/2.28*10^9)

                              t = 0.67635 s

- The wavelength λ of the sound emitted can be calculated by the following formula:

                               λ = √(B/rho) / f

                               λ = √(2.28*10^9/1043) / 10^4

                               λ =  0.14785 m

- The number of wavelengths n that could fit in the distance s is:

                               n*λ = s

                               n = 1000 / 0.14785

                              n = 6764

we need to know the time interval during which the force acts. impulse of force = momentum change

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.