a brass statue with a mass of 0.45 kg and a density of 8.00×10^3 kg/m^33 is suspended from a string. when the statue is completely submerged in an unknown liquid, the string tension is 3.4 n. what is the density of the liquid?

density = 1.96 ₓ 10^3  

Explanation:

To find volume of body

    v =

   v =

  v = 5.625 ₓ 10^-5 m^3

from FBD,

T = 3.4N = 4.5-upthrust

upthrust = 1.1N = dₓ(5.625 ₓ 10^-5 m^3)ₓ 10m/s^2

d = ₓ 10^4

d = 1.955555ₓ 10^3 ≅ 1.96 ₓ 10^3  

density of the statue = 1.832 x kg/

Explanation:

This question is based on the concept of buoyant force.

Bouyant force is the vertical  upward force experienced by a body when it is submerged in a liquid. The magnitude of buoyant force is equal to the weight of the liquid displaced.

Since the body is in equilibrium, the net external force acting on the body is 0.

Here, there are no forces in the horizontal direction. Therefore net external force in the horizontal direction is 0.

Since in the vertical direction also net external force is equal to 0, the total force in the upward direction should be equal to the total force in the downward direction.

Let us first point out the forces acting in this system.

let the density of the liquid be ρ

Weight of the liquid displaced = (mass of the liquid displaced) x g = (density of the liquid) x (volume of the liquid displaced) x g

volume of the liquid displaced = volume of the statue = ( since mass = density x volume)

mass of statue = 0.45 kg

density of statue = 8 x kg/

substituting in the equation gives,

volume of the liquid displaced = = 5.625 x

therefore buoyant force = Weight of the liquid displaced = (mass of the liquid displaced) x g = (density of the liquid) x (volume of the liquid displaced) x g  = ρ x 5.625 x x 9.8 = ρ x 5.5125 x

As we said earlier, since it is in equilibrium,

magnitude of upward force = magnitude of downward force

Tension in the string + Buoyant force = Weight of the statue

substituting,

3.4 + ρ x 5.5125 x = 4.41

ρ x 5.5125 x = 1.01

ρ =   = 1.832 x kg/

32: from largest to smallest, this hierarchy includes eons, eras, periods, epochs, and ages.

33: answer is c

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the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force