Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Question
Chapter 1, Problem 32P
To determine
The dimensions and S.I units for A and B.
Expert Solution & Answer
Answer to Problem 32P
Solution:
Dimensions of A and B are [LT−4] and [LT−2] respectively. The S.I units are m⋅s−4 and m⋅s−2 respectively.
Explanation of Solution
Given:
The speed v is given by v=At3−Bt , where t refers to time.
The dimension of v is [LT−1] . The dimensions of both At3 and Bt should be same since only physical quantities of same dimensions can be added. The dimension of both terms should be equal to [LT−1] which is the dimension of v .
Hence,dimension of:
At3=[LT−1]A[T3]=[LT−1]A=[LT−4]
Similarly,
Bt=[LT−1]B[T]=[LT−1]B=[LT−2]
Dimensions of A and B are [LT−4] and [LT−2] respectively.
The S.I unit for [L] and [T] are mands respectively. Hence, S.I unit for
A=[LT−4]=m⋅s−4
B=[LT−2]=m⋅s−2
Conclusion: Dimensions of A and B are [LT−4] and [LT−2] respectively. The S.I units are m⋅s−4 and m⋅s−2 respectively.
Chapter 1 Solutions
Physics: Principles with Applications
Ch. 1 - What are the merits and drawbacks of using a...Ch. 1 - Prob. 2QCh. 1 - Why is it incorrect to think that the more digits...Ch. 1 - What is wrong with this road sign: Memphis 7 mi(11...Ch. 1 - For an answer to be complete, the units need to be...Ch. 1 - Prob. 6QCh. 1 - 5. You measure the radius of a wheel to be 4.16...Ch. 1 - Express the sine of 30.0° with the correct number...Ch. 1 - Prob. 9QCh. 1 - List assumptions useful to estimate the numbers of...
Ch. 1 - The age of the universe is thought to be about 14...Ch. 1 - How many significant figures do each of the...Ch. 1 - Write the following numbers in powers of 10...Ch. 1 - Write out the following numbers in full with the...Ch. 1 - Prob. 5PCh. 1 - What is the percent uncertainly in the measurement...Ch. 1 - 6.(II) Time intervals measured with a stopwatch...Ch. 1 - Prob. 8PCh. 1 - Multiply 3.079102 m by 0.068 10-1m, taking into...Ch. 1 - Prob. 10PCh. 1 - What, roughly, is the percent uncertainty in the...Ch. 1 - Write the following as full (decimal) numbers...Ch. 1 - Express the following using the prefixes of Table...Ch. 1 - Prob. 14PCh. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Prob. 19PCh. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Prob. 22PCh. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - Estimate how many books can be shelved in a...Ch. 1 - Estimate how many hours it would take to run (at...Ch. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Prob. 30PCh. 1 - Prob. 31PCh. 1 - (II) The speed v of an object is given by the...Ch. 1 - Prob. 33PCh. 1 - Prob. 34GPCh. 1 - Prob. 35GPCh. 1 - Prob. 36GPCh. 1 - Prob. 37GPCh. 1 - Prob. 38GPCh. 1 - Prob. 39GPCh. 1 - Prob. 40GPCh. 1 - Prob. 41GPCh. 1 - Prob. 42GPCh. 1 - Prob. 43GPCh. 1 - Prob. 44GPCh. 1 - Prob. 45GPCh. 1 - Prob. 46GPCh. 1 - Prob. 47GPCh. 1 - Prob. 48GPCh. 1 - Prob. 49GPCh. 1 - Prob. 50GPCh. 1 - Prob. 51GPCh. 1 - Prob. 52GPCh. 1 - Prob. 53GPCh. 1 - Prob. 54GP
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