13.2 Gravitation Near Earth's Surface

How g follows from G with a planet's mass and radius, weighing an astronomical body by its free-fall rate, and variation with latitude.

University Physics Volume 1, 13.2 Gravitation Near Earth's Surface

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6 exercises

13.2 Exercise 1

How does your weight at the top of a tall building compare with that on the first floor? Do you think engineers need to take into account the change in the value of g when designing structural support for a very tall building?

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13.2 Exercise 2

Must engineers take Earth’s rotation into account when constructing very tall buildings at any location other than the equator or very near the poles?

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13.2 Exercise 4

(a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars? The mass of Mars is $6.418 \times 10^{23} \text{kg}$ and its radius is $3.38 \times 10^{6} \text{m}$ .

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13.2 Exercise 6

The mass of a particle is 15 kg. (a) What is its weight on Earth? (b) What is its weight on the Moon? (c) What is its mass on the Moon? (d) What is its weight in outer space far from any celestial body? (e) What is its mass at this point?

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13.2 Exercise 8

The mean diameter of the planet Saturn is $1.2 \times 10^{8} \text{m}$ , and its mean mass density is $0.69 \text{g}/\text{cm}^{3}$ . Find the acceleration due to gravity at Saturn’s surface.

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13.2 Exercise 10

The acceleration due to gravity on the surface of a planet is three times as large as it is on the surface of Earth. The mass density of the planet is known to be twice that of Earth. What is the radius of this planet in terms of Earth’s radius?

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