5. The mathematical relationship between three physical quantities is given by . If the dimension a 3D of b is; [L] and the dimension of c is [L]. What is the dimension of a? [T] The distance d that a certain particle moves may be calculated from the expression d = at + bt, where a and b are constants; and t is the elapsed time. What are the dimensions of the quantities a and b? 6. [L] [L] (а) [T] °[T} [L] [L] (c) [T} 'IT) 1 (e) [T]' [T]? (b) [L], [L]? (d) [LJ [T] '[T}

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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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5. The mathematical relationship between three physical quantities is given by
If the dimension
a =
of b is;
and the dimension of c is [L]. What is the dimension of a?
[T]
The distance d that a certain particle moves may be calculated from the expression d = at + bt,
where a and b are constants; and t is the elapsed time. What are the dimensions of the quantities a
and b?
6.
[L]
[L]
[L]
[L]
1
1
(c)
[T] [T}?
[T] [TJ²
(b) [L], [L]?
(d)
[L] [L}
[T] °[T}*
Transcribed Image Text:5. The mathematical relationship between three physical quantities is given by If the dimension a = of b is; and the dimension of c is [L]. What is the dimension of a? [T] The distance d that a certain particle moves may be calculated from the expression d = at + bt, where a and b are constants; and t is the elapsed time. What are the dimensions of the quantities a and b? 6. [L] [L] [L] [L] 1 1 (c) [T] [T}? [T] [TJ² (b) [L], [L]? (d) [L] [L} [T] °[T}*
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