Find the order of magnitude of the following physical quantities. Enter your answer in the form: 10x where x is the exponent of 10. The exponent x can be found by taking the logarithm of the physical quantity to the base 10. Don't forget to round x. Trick: Note that log₁0 (3.16) - 0.5. For example, if your quantity is of the form: 4.2 x 106, you need to express it as 10%. 10x = 4.2 x 106. The exponent x can be found by: x = log₁0(4.2 x 106) = 6.62 rounded to 7. A quick way to find the order of magntidue is to 1. express the number in scientfic notation (such as 4.2 x 106) 2. examine the power of 10, (equal to 6 in the example above) 3. examine the coefficient in front of the power of 10 (4.2 in the example above). If the coefficient is greater than 3.1, the order of magntitude is power of 10 plus 1. For example, 4.2 > 3.1, therefore x = 6+1 =7. If on the other hand, the number was 2.4 x 106, then since 2.4 <3.1, x = 6. (a) The mass of Earth's atmosphere: 5.1 × 10¹8 kg; kg (b) The mass of the Moon's atmosphere: 25,000 kg; kg (c) The mass of Earth's hydrosphere: 1.4×10²1 kg; kg (d) The mass of Earth: 5.97X1024 kg;

Find the order of magnitude of the following physical quantities. Enter your answer in the form: 10x where x is the exponent of 10. The exponent x can be found by taking the logarithm of the physical quantity to the base 10. Don't forget to round x. Trick: Note that log₁0 (3.16) - 0.5. For example, if your quantity is of the form: 4.2 x 106, you need to express it as 10%. 10x = 4.2 x 106. The exponent x can be found by: x = log₁0(4.2 x 106) = 6.62 rounded to 7. A quick way to find the order of magntidue is to 1. express the number in scientfic notation (such as 4.2 x 106) 2. examine the power of 10, (equal to 6 in the example above) 3. examine the coefficient in front of the power of 10 (4.2 in the example above). If the coefficient is greater than 3.1, the order of magntitude is power of 10 plus 1. For example, 4.2 > 3.1, therefore x = 6+1 =7. If on the other hand, the number was 2.4 x 106, then since 2.4 <3.1, x = 6. (a) The mass of Earth's atmosphere: 5.1 × 10¹8 kg; kg (b) The mass of the Moon's atmosphere: 25,000 kg; kg (c) The mass of Earth's hydrosphere: 1.4×10²1 kg; kg (d) The mass of Earth: 5.97X1024 kg;

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

Question

(e) The mass of the Moon: 7.34×1022 kg;
kg
(f) The Earth-Moon distance (semi-major axis): 3.84 × 108 m;
m
(g) The mean Earth-Sun distance: 1.5×10¹1 m;
m
(h) The equatorial radius of Earth: 6.38×106 m;
m
(i) The mass of an electron: 9.11×10-31 kg;
kg
(j) The mass of a proton: 1.67x10-27
kg
(k) The mass of the Sun: 1.99 x 1030 kg.
kg
kg;

1. Find the order of magnitude of the following physical quantities.
Enter your answer in the form: 10x where x is the exponent of 10.
The exponent x can be found by taking the logarithm of the physical quantity to the base 10.
Don't forget to round x.
Trick: Note that log10 (3.16) -0.5.
For example, if your quantity is of the form: 4.2 x 106, you need to express it as 10%.
10x = 4.2 x 106. The exponent x can be found by:
x = log₁0(4.2 x 106) = 6.62 rounded to 7.
A quick way to find the order of magntidue is to
1. express the number in scientfic notation (such as 4.2 x 106)
2. examine the power of 10, (equal to 6 in the example above)
3. examine the coefficient in front of the power of 10 (4.2 in the example above).
If the coefficient is greater than 3.1, the order of magntitude is power of 10 plus 1.
For example, 4.2 > 3.1, therefore x = 6+1 =7.
If on the other hand, the number was 2.4 x 106, then since 2.4 < 3.1, x = 6.
(a) The mass of Earth's atmosphere: 5.1×10¹8 kg;
kg
(b) The mass of the Moon's atmosphere: 25,000 kg;
kg
(c) The mass of Earth's hydrosphere: 1.4×10²1 kg;
kg
(d) The mass of Earth: 5.97 x 1024 kg;
kg
(e) The mass of the Moon: 7.34×10²²
kg;

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