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25 Oct 2021
Problem 54b
Page 104
Section: Problems
Chapter 4: Dynamics: Newton’s Laws of Motion
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25 Oct 2021
Given information
The initial speed of the skateboarder, 
The length of the incline, 
Time taken to slide down the incline, 
Step-by-step explanation
Step 1.
A skateboarder of mass 
, rolls down an incline of length 
, with an initial speed 
, in a time 
. There is no friction between the incline and the skate board. The plane of the incline is at an angle 
to the horizontal.
, rolls down an incline of length , with an initial speed , in a time . There is no friction between the incline and the skate board. The plane of the incline is at an angle to the horizontal.The forces acting on the skateboarder is shown in the diagram below.
The weight 
of the skateboarder acts vertically downwards. The normal force 
acts perpendicular to the incline. The weight is resolved into two components, 
parallel and perpendicular to the incline.
of the skateboarder acts vertically downwards. The normal force acts perpendicular to the incline. The weight is resolved into two components, parallel and perpendicular to the incline.The skateboarder accelerates with an acceleration a downwards under the action of the component of weight 
.
.
...(1)By Newton’s second law,
...(2)
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11a
- Problem 11b
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17a
- Problem 17b
- Problem 18
- Problem 19a
- Problem 19b
- Problem 20a
- Problem 20b
- Problem 20c
- Problem 21a
- Problem 21b
- Problem 22a
- Problem 22b
- Problem 23
- Problem 24a
- Problem 24b
- Problem 25a
- Problem 25b
- Problem 26
- Problem 27
- Problem 28a
- Problem 28b
- Problem 29a
- Problem 29b
- Problem 30a
- Problem 30b
- Problem 31a
- Problem 31b
- Problem 32a
- Problem 32b
- Problem 33a
- Problem 33b
- Problem 33c
- Problem 34a
- Problem 34b
- Problem 34c
- Problem 34d
- Problem 34e
- Problem 35
- Problem 36
- Problem 36b
- Problem 37a
- Problem 37b
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47a
- Problem 47b
- Problem 48
- Problem 49
- Problem 49a
- Problem 49b
- Problem 49c
- Problem 50a
- Problem 50b
- Problem 50c
- Problem 50d
- Problem 51
- Problem 52a
- Problem 52b
- Problem 52c
- Problem 53
- Problem 54
- Problem 54a
- Problem 54b
- Problem 55
- Problem 55
- Problem 56
- Problem 57
- Problem 57a
- Problem 57b
- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b
- Problem 60a
- Problem 60b
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67a
- Problem 67b