An object weighs 0.30N in air and 0.25 when fully immerse in water and 0.27M immersed in a liquid. Calulate (a) loss of weight in water (b) its relative density of turning (c) relative density of the liquid
Your SCHOOL SUBJECT is not the name of your school! If you put your SUBJECT in the correct place, the right tutor will find your question. Follow the directions on the Post a New Question page:
School Subject: ____________________
(Examples: math, science, algebra, geography)
chi
9.0
To calculate the answers, we need to understand the concepts of buoyancy and weight.
(a) Loss of weight in water:
The weight of an object in air is higher than its weight when immersed in water due to buoyancy. The loss of weight in water can be determined by subtracting the weight of the object when fully immersed in water from its weight in air.
Loss of weight in water = Weight in air - Weight in water
Given:
Weight in air = 0.30 N
Weight in water = 0.25 N
Substituting the values into the formula:
Loss of weight in water = 0.30 N - 0.25 N
Loss of weight in water = 0.05 N
Therefore, the loss of weight in water is 0.05 N.
(b) Relative density of the turning:
The relative density of an object is the ratio of its density to the density of the liquid it is immersed in. In this case, the relative density of the turning can be determined by dividing the loss of weight in water by the loss of weight in air and multiplying by the density of water.
Relative density of the turning = (Loss of weight in water / Loss of weight in air) * Density of water
Given:
Loss of weight in water = 0.05 N
Weight in air = 0.30 N
Density of water = 1000 kg/m^3 (typical value for water)
Converting the weight and density values to kilograms:
Weight in air = 0.30 N * (1 kg/9.8 N) ≈ 0.031 kg
Loss of weight in water = 0.05 N * (1 kg/9.8 N) ≈ 0.005 kg
Substituting the values into the formula:
Relative density of the turning = (0.005 kg / 0.031 kg) * 1000 kg/m^3
Relative density of the turning ≈ 161.3 kg/m^3
Therefore, the relative density of the turning is approximately 161.3 kg/m^3.
(c) Relative density of the liquid:
The relative density of a liquid can be determined by dividing the loss of weight in the liquid by the loss of weight in air and multiplying by the density of water.
Relative density of the liquid = (Loss of weight in liquid / Loss of weight in air) * Density of water
Given:
Loss of weight in liquid = 0.03 N
Weight in air = 0.30 N
Density of water = 1000 kg/m^3
Converting the weight to kilograms:
Weight in air = 0.30 N * (1 kg/9.8 N) ≈ 0.031 kg
Loss of weight in liquid = 0.03 N * (1 kg/9.8 N) ≈ 0.003 kg
Substituting the values into the formula:
Relative density of the liquid = (0.003 kg / 0.031 kg) * 1000 kg/m^3
Relative density of the liquid ≈ 96.8 kg/m^3
Therefore, the relative density of the liquid is approximately 96.8 kg/m^3.