A sample of an unknown material weighs 260 N in air and 175 N when immersed in alcohol of specific gravity 0.700.
rho g volume = weight of fluid displaced
0.7 * 1000 kg/m^3 * 9.8 * V = 260-175 = 85
so
V = .0124 m^3 fluid displaced
mass = 260/9.8 = 26.5
density = mass/volume = 2139 kg/m^3
or specific gravity of 2.14
maybe concrete or some rock
To find the density of the unknown material, we can use the equation:
Density = (Weight in air) / (Weight in air - Weight in liquid)
Let's calculate the weight of the material in the liquid first:
Weight in liquid = Weight in air - Weight in alcohol
Weight in liquid = 260 N - 175 N = 85 N
Now, we can calculate the density of the unknown material:
Density = 260 N / (260 N - 85 N)
Density = 260 N / 175 N
Density ≈ 1.486 g/cm^3
Therefore, the density of the unknown material is approximately 1.486 g/cm^3.
To determine the density of the unknown material, we need to use the information provided about its weight in air and its weight when immersed in alcohol. The specific gravity of alcohol is given as 0.700, which means it is 0.700 times denser than water. Here's how we can calculate the density of the unknown material:
1. Find the weight of the unknown material when immersed in alcohol:
Weight in alcohol = Weight in air - Weight of displaced alcohol
Weight in alcohol = 260 N - 175 N
Weight in alcohol = 85 N
2. Calculate the weight of the displaced alcohol:
Weight of displaced alcohol = Weight in air - Weight in alcohol
Weight of displaced alcohol = 260 N - 85 N
Weight of displaced alcohol = 175 N
3. Calculate the mass of the displaced alcohol:
Mass = Weight / Acceleration due to gravity
Mass of displaced alcohol = 175 N / 9.81 m/s^2
Mass of displaced alcohol ≈ 17.83 kg
4. Calculate the volume of the displaced alcohol:
Volume = Mass / Density
Volume of displaced alcohol = 17.83 kg / (density of alcohol)
5. Calculate the density of the unknown material using the specific gravity of alcohol:
Density of unknown material = (Weight in air / Volume of displaced alcohol) * (1 / Specific gravity of alcohol)
Density of unknown material = (260 N / Volume of displaced alcohol) * (1 / 0.700)
Now, to find the density of the unknown material, we need to know the density of alcohol. If we assume the density of alcohol to be 1000 kg/m^3 (which is a common approximation for water), we can substitute that value into the calculation and solve for the density of the unknown material.