You have three objects in front of you. Object A has a volume of $4{\mathrm{cm}}^3$, object B has a volume of $7{\mathrm{cm}}^3$, and object C has a volume of $10{\mathrm{cm}}^3$. They all have the same mass. What is the correct ranking of the objects from most dense to least dense?

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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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?

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?

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?

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?