COLLEGE PHYSICS LL W/ 6 MONTH ACCESS
2nd Edition
ISBN: 9781319414597
Author: Freedman
Publisher: MAC HIGHER
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Chapter 1, Problem 3QAP
To determine
The properties possessed by an object, system, or process which makes it useful standard of measurement of a physical quantity.
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Is it possible for two quantities to (a) have the same units but different dimensions or (b) have the same dimensions but differentunits? Explain.
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Must two quantities have the same dimensions if you are subtracting them?
no
yes
Chapter 1 Solutions
COLLEGE PHYSICS LL W/ 6 MONTH ACCESS
Ch. 1 - Prob. 1QAPCh. 1 - Prob. 2QAPCh. 1 - Prob. 3QAPCh. 1 - Prob. 4QAPCh. 1 - Prob. 5QAPCh. 1 - Prob. 6QAPCh. 1 - Prob. 7QAPCh. 1 - Prob. 8QAPCh. 1 - Prob. 9QAPCh. 1 - Prob. 10QAP
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- Show that, when SI units for µ0 and ε0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.arrow_forwardGive an example of (a) a physical quantity which has a unit but no dimensions. (b) a physical quantity which has neither unit nor dimensions. (c) a constant which has a unit. (d) a constant which has no unit.arrow_forwardAs of September 2021, which of the following fundamental SI units are based on a physical artefact instead of a natural phenomenon? (A) Kilogram (B) Second (C) Mole (D) None of the above True or false? In dimensional analysis, the units in equations are treated just like any other algebraic quantity. True or false? If an equation is dimensionally consistent, then it implies that is physically correctarrow_forward
- Consider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 . Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a)F=ma;(b)K=0.5mv2;(c)p=mv;(d)W=mas;(e)L=mvrarrow_forwardFind the order of magnitude of the number of table-tennis balls that would fit into a typical-size room (without being crushed). 18. (a) Compute the order of magnitude of the mass of a bath-arrow_forwardConsider the physical quantities s,v,a, and t with dimensions [s]=L,[v]=LT1,[a]=LT2 and [t]=L . Determine whether each of the following equations is dimensionally consistent. (a)v2=2as;(b)s=vt2+0.5at2;(c)v=s/t;(d)a=v/tarrow_forward
- A surveyor measures the distance across a straight river by the following method (Fig. P3.7). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is = 35.0. How wide is the river?arrow_forwardIt is your responsibility to determine the three fundamental quantities.arrow_forwardThe period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by where ℓ, is the length of the pendulum and g is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formulaarrow_forward
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