Plot a graph of water mass versus water volume and draw the best fit line. Calculate the slope. What is the density of water in grams/cm3 and kg/m3?

Physics
Plot a graph of water mass versus water volume and draw the best fit line. Calculate the slope. What is the density of water in grams/cm3 and kg/m3?

ScanSolve AI Answer

Answer

1g/cm31 g/cm^{3}

Step 1: Plot mass of water (mm in g) vs. volume of water (VV in cm³) from the data table. Draw the best fit line (in green).

Step 2: Density ρ\rho of water is the slope of the best fit line.

ρ=ΔmΔV\rho = \frac{\Delta m}{\Delta V}

Step 3: Choose two points on the best fit line, e.g., Point 1: (V1=10 cm3,m1=10 g)(V_1 = 10\,cm^3, m_1 = 10\,g), Point 2: (V2=30 cm3,m2=30 g)(V_2 = 30\,cm^3, m_2 = 30\,g).

ρ=m2−m1V2−V1=30 g−10 g30 cm3−10 cm3=20 g20 cm3=1 g/cm3\rho = \frac{m_2 - m_1}{V_2 - V_1} = \frac{30\,g - 10\,g}{30\,cm^3 - 10\,cm^3} = \frac{20\,g}{20\,cm^3} = 1\,g/cm^3

The density (slope) of water is 1 g/cm3\mathbf{1\,g/cm^3}.

1 g/cm^{3}

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Quick Answer

Plot mass of water (m in g) vs. volume of water (V in cm³) from the data table.

Plot a graph of water mass versus water volume and draw the best fit line. Calculate the slope. What is the density of water in grams/cm3 and kg/m3?
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Plot mass of water (m in g) vs. volume of water (V in cm³) from the data table. Draw the best fit line (in green). Step 2: Density of water is the slope of the best fit line. = ( m)/( V) Step 3: Choose two points on the best fit line, e.g., Point 1: (V_1 = 10\,cm^3, m_1 = 10\,g), Point 2: (V_2 = 30\,cm^3, m_2 = 30\,g). = (m_2 - m_1)/(V_2 - V_1) = 30\,g - 10\,g30\,cm^3 - 10\,cm^3 = 20\,g20\,cm^3 = 1\,g/cm^3 The density (slope) of water is 1\,g/cm^3. 1 g/cm^3