Comparison of density values determines whether an item will float or sink in water. For each of the values below, determine the density and state whether it will float or sink in water (density = 1.00 g/mL). (a) a wooden block with sides measuring 1.53 in and a mass of 13.5 g density WebAssign will check your answer for the correct number of significant figures. g/mL float or sink (b) a metal paperclip which displaces 0.296 mL of water when determining the volume by difference and weights 111 mg density WebAssign will check your answer for the correct number of significant figures. g/mL float or sink (c) an apple which displaces 0.930 cups of water when determining the volume by difference and weighs 0.88 lb density WebAssign will check your answer for the correct number of significant figures. g/mL float or sink

Respuesta :

Answer:

a) the object floats

b) the object floats

c) the object sinks

Explanation:

when an object is less dense than in the fluid in which it is immersed, it will float due to its weight and volume characteristics, so to solve this problem we must find the mass and volume of each object in order to calculate the density and compare it with that of water

a)

volumen for a cube

V=L^3

L=1.53in=0.0388m

V=0.0388 ^3=5.8691x10^-5m^3=58.69ml

density=m/v

density=13.5g/58.69ml=0.23 g/ml

The wooden block floats  because it is less dense than water

b)

m=111mg=0.111g

density=m/v

density=0.111g/0.296ml=0.375g/ml

the metal paperclip floats   because it is less dense than water

c)

V=0.93cups=220.0271ml

m=0.88lb=399.1613g

Density=m/v

density=399.1613/220.027ml=1.8141g/ml

the apple sinks   because it is  denser than water

In this exercise, we have to use density knowledge to identify whether the object sinks or floats, in this way:

a) the object floats

b) the object floats

c) the object sinks

For this we have to remember that:

  • For an object to sink it must be denser than the fluid it is in.
  • For an object to float it must be less dense than the fluid it is in.

a)Knowing that the volume of the cube is:

[tex]V=L^3\\L=1.53in=0.0388m\\V=0.0388 ^3=5.8691x10^-5m^3=58.69ml\\density=m/v\\density=13.5g/58.69ml=0.23 g/ml[/tex]

b) Now through the mass we find that:

[tex]m=111mg=0.111g\\density=m/v\\density=0.111g/0.296ml=0.375g/ml[/tex]

c)Knowing that the volume of the cube is:

[tex]V=0.93cups=220.0271ml\\m=0.88lb=399.1613g\\Density=m/v\\density=399.1613/220.027ml=1.8141g/ml[/tex]

See more about density at brainly.com/question/952755

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