The following is an assortments of equation that might be cocoumtered in connect
ID: 1950619 • Letter: T
Question
The following is an assortments of equation that might be cocoumtered in connection with problems in several areas of physics. Some of them are correct and some are erroneous. Apart from subscripts all of the equations involve the foll0wing symbols: t for time x for position (or length), v for speed (length per time), and the letter a for acceleration (velocity per time, or length per time per lime). By checking the dimensions of the terms in these expressions, determine which are possibly correct and which are surely incorrect. Remember that trigonometrie functions are dimenssionless. Show your work.Explanation / Answer
Distance = rate * time; rate = distance/time; time = distance/rate
ratios have no units, numbers have no units, trig functions have no units
x = 1/2 (v/t) not OK this is rate/time
t = SQRT(2(m-m)/m/s^2) OK this is SQRT(1/1/s^2)
v = (v1 + v2)/2t not OK cancel the speeds and you have number = 1/time
x = v^2/a OK m = m^2/m
t = xSQRT(a/x) not OK s = 1/s
next column
OK number = (m/s)^2/[m/s^2*m]
time = rate/distance not OK need to flip one side
rate = rate/(number + ratio) OK (special relativity formula)
time = timeSQRT{(number - ratio)/(number - ratio)} OK
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