Show that the addition or subtraction of two numbers x and y with the same percent error results in a number z with the same percent error. What is the percent error of z if x has half the percent error of y?
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Show that the addition or subtraction of two numbers x and y with the same percent error results in a number z with the same percent error. What is the percent error of z if x has half the percent error of y?
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- q4The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m. In this problem you can approximate the error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate the floor area of the room in square meters.An object is released from rest and falls in free fall motion. The speed v of the object after it has fallen a distance y is given by v 2gy. In an experiment, v and y are measured and the measured values are used to calculate g. If the percent uncertainty in the measured value of v is 4.80% and the percent uncertainty in the measured value of y is 5.00%, what is the percent uncertainty in the calculated value of g? (Do not enter units for this answer.) X%
- The radius of an atom of gold (Au) is about 1.35 Å. How many gold atoms would have to be lined up to span 4.0 mm? Express your answer using two significant figures.An object is released from rest and falls in free fall motion. The speed v of the object after it has fallen a distance y is given by v2 = 2gy. In an experiment, v and y are measured and the measured values are used to calculate g. If the percent uncertainty in the measured value of v is 5.19% and the percent uncertainty in the measured value of y is 5.00%, what is the percent uncertainty in the calculated value of g?(a) How many significant figures are in the numbers 999.0 and 1000.0? 999.01000.0 (b) If the uncertainty in each number is 10, what is the percent uncertainty in each? (Give your answer to 4 significant figures.) 999.0 %1000.0 % (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
- A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.T The total surface area, A, of the cylinder can be expressed as A = (a) Find the value of k. (b) Find the value of that makes the total surface area a minimumA student is trying to remember some formulas from geometry. In what follows, assume A is area, V is volume, and all other variables are lengths. Determine which formulas are dimensionally consistent. (a) V = πr2 h; (b) A = 2πr2 + 2πrh; (c) V = 0.5bh; (d) V = πd2; (e) V = πd3 /6.
- A study fonds that the metabolic rate of mamals is proportional to the mass of the mamal carried to the exponent of (3/4). By what factor does the metabolic rate of a 70.0 kg human exceed that of a 6.30 kg cat?\ 70.0 3/4 kg = 6.09 6.303/4 kg I set up the values as a ratio and came up with 6.09. OK, I answered my own question. That is the correct answer.If g(v) is the fuel efficiency, in miles per gallon, of a car going at v miles per hour, what are the units of g′(90)? What is the practical meaning of g′(55)=−0.54?Can you please help me with this question