Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 5, Problem 5.4P
To determine
To Find: the values of
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A rectangular brass bar, of mass M, has dimensions a, b, c. The following results They were obtained:
M = 135.0 ± 0.1 g
a = 80 ± 1 mm
b = 10 ± 1 mm
c = 20.00 ± 0.01 mm
What is the uncertainty in material density?
Express the relationship between 1/do, 1/di, and 1/f as an equation.
With a caliper (Δr=0.05 mm), the edge L of a pure copper plate is measured only once. The value read by the experimenter is L=10.00 mm. It is known that the density of copper is ρ=(8.8900±0.0058)×103 kg/m3. What is the mass of the cube with its uncertainty?
a) m ± um = (8.890 ± 0.078) g
b) m ± um = (8.890 ± 0.078) kg
c) m ± um = (8.890 ± 0.078)×10-3 g
d) m ± um = (8.90 ± 0.078) g
e) m ± um = (8.90 ± 0.08) g
Chapter 5 Solutions
Modern Physics For Scientists And Engineers
Ch. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10P
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19PCh. 5 - Prob. 5.20PCh. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - Prob. 5.26PCh. 5 - Prob. 5.27P
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- P 1.4 Perform the following addition and subtraction problems with the following measured quantities. Assume ambiguous, place-holding zeros do not indicate a degree of precision.a. 8.45 g + 12 g + 459.01 g = 479 b. 323.98 g – 221.98 g = gc. 34.986 mL – 21 mL = mLd. 34,000 kg + 567 kg = kg = ge. 6.04 m + 91 cm + 45 mm = m = cmf. 6.04 m + 91 cm + 51 mm = m = mmP 1.6 Perform the following multiplication problems, reporting your answer with the correct number of significant figures.(a) (56.03 cm) x (1.000 cm) x (3518 cm) = cm3(b) (56.03 cm) x (1.00 cm) x (3518 cm) = cm3(c) (56.03 cm) x (1.0 cm) x (3518 cm) = cm3P 1.7 Perform the following multiplication and division problems with the following measured quantities. You cannot determine the number of significant figures in a number with ambiguous zeros and so there is no one correct answer for problems with ambiguous zeros.a. (7.34 cm) x (0.0045 cm) x (124 cm) = cm3b. 45.9 g 1.4 mL = g / mL c. 145 mg 0.01 cm3…arrow_forwardWhen a force F of (10.0 +/- 0.2) N is applied to a mass m of (2.0 0.+/- 1) kg, the percentage uncertainty attached to the value of the calculated acceleration F/m isA. 2%. B. 5%. C. 7%. D.10%arrow_forwardGIVEN: A= 5.00i + 2.00j B =3.00i + 1.00j – 3.00k C = 2.00i + 8.00j Find B x (AxC)arrow_forward
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- Given 122 + 16y = 19y – 235, solve the equation, y =? please help me with explanation to practice with calculator.arrow_forwardA distance R is measured to be 3.400±0.005m. What is the relative uncertainty in R? b) What is the relative uncertainty in R3? c) What is the relative uncertainty in R−2? d) What is the absolute uncertainty in R−2? e) What is the relative uncertainty in √R?arrow_forwardA parameter x is measured with a relative uncertainty of 4 percent. If x=19.0, what is the absolute uncertainty in the natural logarithm of x? If x=0.082, what is the absolute uncertainty in the natural logarithm of x?arrow_forward
- v=1.000mphv=1.000mph in SI units?arrow_forwardThe period T of a simple pendulum is given by T = 2π p L/g where L is the length of the pendulum and g is the acceleration due to gravity. Thus if L and T are measured, we can estimate g with g = 4π 2L/T2 . Assume that the period is known to be T = 1.5 s with negligible uncertainty, and that L is measured to be 0.559 ± 0.005 m. Estimate g, and find the uncertainty in the estimate. Also, find the relative uncertainty. (Hint: If uncertainty for T is negligible, it can be treated as a constant, i.e. g = 4π 2L/1.5 2 .)arrow_forwardThe radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the circumference of the circle, and give the uncertainty in each value.arrow_forward
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