Question

1. did you know that an unopened 355 ml can of diet dr. pepper will float in a lake? that’s a fact! however, it’s also a fact that an unopened 355ml can of regular dr. pepper will sink in that same lake! based on these two facts, which type of soda is the least dense? explain your answer.
2. density can be calculated by dividing the mass of an object by its volume. water has a density of 1g/ml. if an object’s density is greater than 1 g/ml it will sink and if its density is less than 1g/ml it will float.

object a has a mass of 40g and a volume of 30ml and object b has a mass of 15 g and a volume of 20 ml. what will happen when both objects are placed in water?
a. object a will float because its density is less than water
b. object b will sink because its density is greater than water
c. object a will sink because its density is greater than water
d. objects a and b will both float because their density is the same as water

Explanation:

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Step1: Recall density - floating relationship

Objects with density less than water float, and those with density greater than water sink.

Step2: Analyze the floating - sinking behavior

The diet Dr. Pepper floats, meaning its density is less than water. The regular Dr. Pepper sinks, meaning its density is greater than water.

Step1: Calculate density of object A

The formula for density $
ho=\frac{m}{V}$. For object A, $m = 40g$ and $V=30mL$. So $
ho_A=\frac{40g}{30mL}=\frac{4}{3}g/mL\approx1.33g/mL$.

Step2: Calculate density of object B

For object B, $m = 15g$ and $V = 20mL$. So $
ho_B=\frac{15g}{20mL}= 0.75g/mL$.

Step3: Compare with water density

Since water density is $1g/mL$, $
ho_A>1g/mL$ and $
ho_B < 1g/mL$. So object A will sink and object B will float.

Answer:

Diet Dr. Pepper is the least dense because it floats in water while regular Dr. Pepper sinks.

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