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At the surface of a certain planet, the | Ch 6 - 52

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 4th Edition | ISBN: 9780133942651 | Authors: Randall D. Knight (Professor Emeritus) ISBN: 9780133942651 188

Solution for problem 52 Chapter 6

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 4th Edition

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 4th Edition | ISBN: 9780133942651 | Authors: Randall D. Knight (Professor Emeritus)

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 4th Edition

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Problem 52

At the surface of a certain planet, the gravitational accelerationg has a magnitude of 12.0 m/s2. A 13.0-kg brass ball istransported to this planet. What is (a) the mass of the brassball on the Earth and on the planet, and (b) the weight ofthe brass ball on the Earth and on the planet?

Step-by-Step Solution:
Step 1 of 3

×   ⃗⃗1⃗⃗2⃗⃗⃗3⃗ } ⃗3⃗ 2⃗⃗ ⃗1⃗⃗ ⃗3⃗⃗ = 1 1⃗⃗ +2 2⃗⃗⃗ 1⃗⃗2⃗⃗3⃗ } ⃗1⃗⃗2⃗⃗ } ⃗1⃗⃗2⃗ } = { , ,…, } ⃗⃗⃗⃗ 1 2 = 1 1 2 2⋯+ ⃗⃗ 1,2,…, ⃗ 1 [] = [ ] ⋮ ↦ [ ] ↦ => 3 −1 1= [6],2= [0 ] 2 1 3 −1 = {6 ] [0 ]} 2 1 ⃗ = ⃗ ( − ) 3. det( − ) = 0 1 3 −5 [0 2 4 ] 0 0 7 − ) = 0 1 − 3 −5 ( 0 2 − 4 ) = 0 0 0 7 − − 1 − 2 − 7 − = 0 => = 1,2,7 1,2,…, 1,2,…, 1,2,…, 10 0 0 0 1 0 0 [0 −4 0] [−2 0 ] [0 −5 0 0] 0 0 5 0 4 0 0 −7 0 0 0 0 6 1,2,…, , ,…, × ⃗ ⃗ ,) | ⃗ − | ⊥ ⊥ ⊥ ⊥ ( ) = ( ) =  . =  − = = ̂ + ̂ ⃗ ) ̂ = 1 1⃗⃗ +2 2⃗⃗ + ⋯+ ⃗⃗ .⃗⃗ = 2 | ⃗⃗ | = − ̂     6 −2 −1 [−2 6 −1] −1 −1 5 −1 −1 1 = 8,⃗1⃗⃗ =1[]; = 6,⃗2⃗⃗ −1[]; = 3,⃗3⃗ = 1 ] 0 2 1 1⃗⃗2⃗ ⃗3⃗ 1 1 1 − − 2 √6 √3 √ 1 1 ⃗1⃗ = 1 ; ⃗2⃗⃗ =− √6 ; ⃗3⃗⃗ =√3 √ 2 [ ] 2 1 0 [ √6 ] [√3] − 1 − 1 1 8 0 0 √2 √6 √3 1 1 1 = [0 6 0 ] = √2 − √6 √3 0 0 3 2 1 [ 0 √6 √3] ×

Step 2 of 3

Chapter 6, Problem 52 is Solved
Step 3 of 3

Textbook: Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Edition: 4
Author: Randall D. Knight (Professor Emeritus)
ISBN: 9780133942651

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At the surface of a certain planet, the | Ch 6 - 52