In a liquid with a density of 1400 kg/m3, longitudinal waves with a frequency of 390 Hz are found to have a wavelength of 7.60 m. Calculate the bulk modulus of the liquid. Express your answer in pascals.

The bulk modulus of the liquid is 1.229 x 10¹⁰ Pa

Explanation:

Given;

density of liquid, ρ = 1400 kg/m³

frequency of the wave, f = 390 Hz

wavelength, λ = 7.60 m

The speed of the sound is given by;

v = fλ

v = 390 x 7.6

v = 2964 m/s

The bulk modulus of the liquid is given by;

where;

B is bulk modulus

B = (1400)(2964)²

B = 1.229 x 10¹⁰ N/m²

B = 1.229 x 10¹⁰ Pa

Therefore, the bulk modulus of the liquid is 1.229 x 10¹⁰ Pa

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.