You also measure the length of a side of the cube using a ruler and get the value 3.15+0.05 cm. Calculate the volume of the cube and the uncertainty the calculated value and report it in the format V±õV, rounded appropriately. The volume of a cube is V=L³. (1m L = 1 cm3) cm3

Q: A student wanted to find the value of factor A experimentally in the equation F=9.2Av?. If the…

A: Given: The expression for the equation is given as. F=9.2Av2…

Q: In which step does the student make a mistake in reporting the following measurement? 1. Takes the…

A: Step 3

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: y what exponent of 10 would a numerical quantity change if measured in micrometers rather than…

A: 1 micro meter = 10-6 m 1 km = 1Kilometer = 103 m Thus, 1 meter =(1/103) km = 10-3 km

Q: Starting with the definition 1 in. = 2.54 cm, find the number of (a) kilometers in 1.0 mile and (b)…

A: Data we have 1 in=2.54cm=2.54×10-2m

Q: what is the absolute uncertainty for the following measurements? 5.8cm, 5.6cm, 5.7cm,5.4cm,5.6cm…

A:

Q: A rectangular plate has a length of (16.2 ± 0.2) cm and a width of (9.6 ± 0.1) cm. Calculate the…

A: Data Given ,  Length ( L ) = ( 16.2 ± 0.2 ) cm  Width ( W ) = ( 9.6 ± 0.1 ) cm  We have to find the…

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

A:

Q: In each of the three cases, which measured value (mass or volume) limits the precision of the…

A: Given: Balance A: 15.746 gBalance B: 15.75 gBalance C: 15.7 g Balance A: ± 0.001 Balance B: ± 0.01…

Q: 1. A cylinder has a radius of 4.6 ± 0.4 cm and a height of 5.36± 0.3 cm. (a) Find the volume of this…

A: a) The volume of the cylinder is,

Q: A paraffin wax candle is 6.25 inches tall and 1.50 inches in diameter. To what exponent will you…

A:

Q: Find the resultant time and the absolute uncertainty given the formula and absolute uncertainty…

A:

Q: Suppose you do an initial calculation that gives 78.5279 +4.3324%. What is the correctly rounded…

A:

Q: In the calculation of the volume of a cube of nominal size, the uncertainty in the measurement of…

A:

Q: Two lengths have been measured as  l(1)= (3.64 ± 0.04) cm and  l(2)= (3.9 ± 0.04) cm. Find the…

A:

Q: Find the uncertainty in a calculated average speed from the measurements of distance and time.…

A: Given data: x = 6.4 m and δx=0.6 m t = 4.9 s and δt=1.3 s

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: 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: 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: When nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (Ibm) was…

A:

Q: In a laboratory, one of your partners determines correctly that the surface area of an object is…

A: Area = 11.48 cm2( number of significant figures in area = 4)uncertainity = 0.02783447 cm2(Number of…

Q: Calculate the volume of a given object and its uncertainty in cm3 and your final answer or report.…

A:

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: Use the rules in part e) of the review to combine the following numbers: L1 = 5.02 ± 0.03 m, L2 =…

A: Solution:  (a) Calculate the uncertainty of L1 + L2 as shown below. ∆L1+L2=±0.03+0.06=±0.09 m…

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: Read the following instruments with proper significant digits and units and indicate the c number of…

A: Here given scale is cm scale. (2) 7.7 cm (2 significant figures)

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: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…

A: Determine the area of the circle.

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

A:

Q: Find the absolute and percent relative uncertainty and express each answer with a reasonable number…

A:

Q: After carrying out repeated measurements for the height of a building and making the calculations,…

A: Given in question -  Height of building(H)= 46.857 m…

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

A:

Q: 1. The following data are the measurements of the dimensions of a box: l = 8.6 ± 0.5 cm h =…

A: (1)GIVEN THE MEASUREMENT OF THE THE RECTANGULAR BOX ARE, l= 8.6±0.5

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: The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter…

A:

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: For each of the following pieces of glassware, provide sample measurement and discuss the number of…

A: For glassware in figure (a) , the least count is 1 unit. So, the uncertainty is +1 or -1. And number…

Q: The radius of a circle is measured to be (13.6 ± 0.3) m. Calculate each of the following and give…

A: CONCEPT: Given, The radius of the circle = (13.6±0.3) m So, R=13.6 m and r= 0.3 m We know,  Area of…

Q: What is the area, and its approximate uncertainty, of a circle of radius  3.1 x104 cm?

A:

Q: The sides of a small rectangular box are measured to be 1.7 ± 0.015 cm, 2.05 ± 0.035cm, and 2.7 ±…

A: Given: l=1.7±0.015 cmw=2.05±0.035 cmh=2.7±0.11 cm

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 has a length of (2.9 ± 0.2) m and a width of (1.6 ± 0.2) m. Calculate the area and the…

A:

Q: The diameter of a sphere was measured to be d = 3.21 cm with an uncertainty Δd = 0.01 cm. Find the…

A: Here diameter d=3.21 cm so radius r=3.212=1.60 cm So the volume is  V=43πr3=…

Q: The sides of a small rectangular box are measured to be 1.80 + 0.01 cm, 2.05 ± 0.02 cm, and 3.1 t…

A: Given data: Length l= 1.8 cm Uncertainty in length ∆l Breadth, b = 2.05 cm Uncertainty  in breadth,…

Q: The diameter, d, of a small circular play area is 5.0 m + 0.1 m. The area, A, is calculated using…

A: The area is calculated using the equation,…

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…

Q: PRECISION AND ACCURACY Compute for the percent error for the following measurements. Write your…

A:

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.