1. Knows:
Mass of Earth: `M_e = 5.97 times 10^(24) kg`
Radius of Earth: `r_e = 6.37 times 10^6 m`
(a) Use above information to calculate the average density of the Earth.
(b) Where does the value fit among those listed in Table 14.1. Look up the density of a typical surface rock like granite in another source and compare it with the density of the Earth.
View Detail ... 2. An automobile company displays a die-cast model of its first car, made from 9.35 kg of iron. To celebrate its hundredth year in business, a worker will recast the model in solid gold from the original dies. What mass of gold is needed to make the new model?
Given:
Density of iron: `ρ_i = 7.86 times 10^3 kg//m^3`
Density of gold: `ρ_g = 1.93 times 10^4 kg//m^3`
View Detail ... 3. Figure P1.8 shows a frustum of a cone. Match each of the expressions
(a) `pi(r_1 + r_2)[h^2 + (r_2 - r_1)^2]^(1/2),`
(b) `2pi(r_1 + r_2)`, and
(c) `pih(r_1^2 + r_1r_2 + r_2^2)//3`
with the quantity it describes:
(d) the total circumference of the flat circular faces,
(e) the volume, or
(f) the area of the curved surface.
View Detail ... 4. Newton’s law of universal gravitation is represented by
`F = (GMm)/ (r^2)`
where `F` is the magnitude of the gravitational force exerted by one small object on another, `M` and `m` are the masses of the objects, and `r` is a distance. Force has the SI units `kgcdotm//s^2`. What are the SI units of the proportionality constant G?
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