1. Intro to Physics Units

Solving Density Problems

Multiple Choice
A wooden cylinder has a radius of 3.5 cm and a height of 6 cm. If the mass is 161 g, what is the density of the wooden cylinder?
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Multiple Choice
Copper has a density of 8.96 g/cm³. If a single copper atom as a mass of 1.055×10^-25 kg, what is the volume of a copper atom?
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Multiple Choice
You have three objects in front of you. Object A has a volume of $4 {cm}^{3}$ , object B has a volume of $7 {cm}^{3}$ , and object C has a volume of $10 {cm}^{3}$ . They all have the same mass. What is the correct ranking of the objects from most dense to least dense?
Open Question
The quantity called mass density is the mass per unit volume of a substance. What are the mass densities in basic SI units of the following objects?a. A 215 cm³ solid with a mass of 0.0179 kg.
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Open Question
In the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction. Neptunium-237 has a density of 19.5 g/cm3. What would be the radius of a sphere of this material that has a critical mass?
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Open Question
The nucleus of a uranium atom has a diameter of 1.5×10^−14 m and a mass of 4.0×10^−25 kg . What is the density of the nucleus?
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Open Question
A standard baseball has a circumference of approximately 23 cm. If a baseball had the same mass per unit volume (see Tables in Section 1–4) as a neutron or a proton, about what would its mass be?
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Open Question
The density of an object is defined as its mass divided by its volume. Suppose a rock's mass and volume are measured to be 6 g and 2.8325 cm³. To the correct number of significant figures, determine the rock's density (mass/volume).
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Open Question
A plumb bob (a mass m hanging on a string) is deflected from the vertical by an angle θ due to a massive mountain nearby (Fig. 6–37).
(b) Make a rough estimate of the mass of Mt. Everest, assuming it has the shape of a cone 4000 m high and base of diameter 4000 m. Assume its mass per unit volume is 3000kg per m³.
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Open Question
The Near Earth Asteroid Rendezvous (NEAR) spacecraft, after traveling 2.1 billion km, orbited the asteroid Eros with an orbital radius of about 20 km. Eros is roughly 40km x 6km x 6km. Assume Eros has a density (mass/volume) of about 2.3 x 10³ kg/m³ .

(a) If Eros were a sphere with the same mass and density, what would its radius be?
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