A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12 s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (c) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?

Q: The radius of a uniform solid sphere is measured to be (6.50 ± 0.20) cm, and its mass is measured to…

A: r = (6.50 ± 0.20) cm mass M = (1.85 ± 0.02) kg.

Q: 2.03 ) Diameter of a coin is measured ast.cm and its height (thickness) is measured as 0.024 cm and…

A: The density of the coin is given by equation (1). Density is a characteristic property of a…

Q: Determine the percent uncertainty in 0, and in sin 0, when (a) 0 = 15.0° ± 0.5°, (b) 0 = 75.0° ±…

A: (a) Percentage uncertainty in θ

Q: A grocery store sells 5-lb bags of apples. You purchase four bags over the course of a month and…

A:

Q: Suppose your speedometer has an uncertainty of 4.5 km/h at a speed of 92 km/h. what is the percent…

A: An uncertainty speed of speedometer, u'=4.5 km/h   The original speed, u=92 km/h

Q: MEASURED USING CENTIMETER RULER MEASURED USING CENTIMETER RULER   Measured Diameter d (cm) Measured…

A: Solution: Calculate the relative uncertainty in diameter for dime. ∆Uddime=0.051.76×100=2.84%…

Q: What is the approximate percent uncertainty in the measurement given   1.57 m2?

A: The given measured quantity is,

Q: Perform the indicated mathematical operations. State the uncertainty of the final answer as ±…

A:

Q: What is the area, and its approximate uncertainty, of a circle of radius 3.1 X 104 cm?

A: Area of the circle can be obtained as Rounding off to least significant figure gives

Q: Our classroom was kept at 25.0°C during your experiment, so v is predicted to be 343 m/s. What is…

A: Given data :              Speed of sound in air ;                                          Expected…

Q: What is the percent uncertainty in the measurement 6.32 + 0.01 m? А. 0.32% B. .0.01% С. 0.16% D.…

A:

Q: What is the percent uncertainty in the measurement 3.99±0.35m?

A: Here, the absolute uncertainty in the length is given. First, find the ratio of uncertainty with…

Q: To measure the perimeter of a triangle, the lengths of sides AB, BC and CA are measured using a…

A: Resolution of caliper = 0.05mm Length of side AB =50.2mm Length of side BC =55.15mm Length of side…

Q: Performing addition for these values: 3.14, 5.71201, 4.0, 55 and 100.1 will give a result ontaining…

A: Given data: The values are 3.14, 5.71201, 4.0, 55 and 100.1 Required: Number of significant figures…

Q: A cylinder has a radius of ( 1.60 ±0.01) cm and a height of ( 11.5 ± 0.1) cm find the volume and its…

A: The volume of the cylinder is given by  V = π r2 h where, r is the radius and h is the height.

Q: What is the reported value of the length of the book with uncertainty? If the length (l) of a book…

A: data,l1 = 8.21cml2 = 8.24cml3 = 8.22cml4 = 8.23cml5 = 8.24cml6 = 8.22cml7 = 8.23cmmean value would…

Q: Given that P = Find the maximum percentage error in calculating P if the percentage error in…

A:

Q: An infant’s pulse rate is measured to be (130.0 + 5.0) beats/min. What is the absolute uncertainty…

A: Given that:- Infant pulse rate=(130+5) beat/min

Q: If you are to measure the length, width and thickness of a book, what measuring device will you use?…

A: According to question: For measuring the length, width and thickness of a book, I prefer Measuring…

Q: The radius of a solid sphere is measured to be (6.30 i 0.30) cm, and its mass is measured to be…

A: (given) Radius of the sphere = 6.30 cm = 6.30×10-2 m Uncertainty in the radius δr = 0.30 cm =…

Q: A rectangle has a length of (2.3 ± 0.1) m and a width of (1.4 ± 0.2) m. Calculate the area and the…

A:

Q: When non-metric units were used in the United Kingdom,a unit of mass called the pound-mass (lbm) was…

A:

Q: The measurement of a physical quantity is 6.54 kg. What is the percent of uncertainty?

A:

Q: The radius of a circle is measured to be (10.5 ± 0.2) m. Calculate(a) the area and (b) the…

A: (a) The area of the circle is

Q: After carrying out some calculations (based on experimental data) your calculator shows that the…

A: Given: The mass of the object is 178.54968 g. The uncertainty in the mass is ±25.0163482 g.…

Q: In the calculation of the perimeter of a square measuring: 5.0 cm ± .05 cm by 5.0 cm ± .05 cm, What…

A:

Q: Two wood beams are stuck together with wood glue to create a wooden floor beam. The length of the…

A:

Q: What is the percent uncertainty in the area of a circle whose radius is 1.8 × 104 cm?

A:

Q: What, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius r = 0.84…

A:

Q: A person measures his or her heart rate by counting the number of beats in 30s. If 40+1 beats are…

A: Given the number of beats is 40. And the uncertainty with beats is 1. The time is defined as 30 s,…

Q: A good quality measuring tape can be off by 0.50cm over a distance of 20m? What is the percent…

A: Given:Original length L=20mUncertainity in lengh SL=0.50cmSl =0.50×10-2m

Q: Which of the following pairs of measured numbers have the same uncertainty or error in both numbers?…

A:

Q: A quadrilateral shaped area given by the following measurements have these corresponding probable…

A: Perimeter is sum of all four sides. In summation , error is sum of numerical value of all errors.…

Q: A good-quality measuring tape can be off by 0.50 cm overa distance of 20 m. What is its percent…

A:

Q: What is the area and uncertainty in area of one side of a rectangular metal slab that has a length…

A: The length of the slab L=21.2±0.3 cm The percentage uncertainty in length is  %L=0.3 21.2×100=1.4%…

Q: 7. A cylinder hás à radius of 4.6 ± 0.4 cm and a height of 5.36 ± 0.3 cm. (a) Find the volume of…

A: Radius of the cylinder (r)=4.6±0.4 cm Height of the cylinder (H)=5.36±0.3 cm

Q: 5. (a) What is the percent uncertainty in the measurement 8.55 ± 0.36 m? (b) Determine the number of…

A: Percentage uncertainty of a measured value is given by-uncertainityvalue×100=percentage uncertainty…

Q: An optical track for a new physics experiment was measured using a high tech laser. It was found to…

A: L=2.71828m ∆L=0.05432 Relative uncertainty =∆LL                                      =0.01998 equal…

Q: A parameter x is measured with a relative uncertainty of 4 percent. If x=19.0, what is the absolute…

A: Given data:

Q: A rectangle has a length of (2.7+_0.1) m and a width of (1.6+_0.2) m. Calculate the area and the…

A: Given,

Q: A rectangle (J) of iongth (1) equals 20 cm, and width (w) equals 5 cm.f the uncertointy in measuring…

A:

Q: What is the area, and its approximate uncertainty, of a circle of radius 3.1 × 104 cm?

A: Given: Radius of circle=R=3.1×104 In this Question, we would Assume an uncertainty in the radius of…

Estimate of calculation