Suppose you want to measure how fast your friend can run a race.  To do this, you set up a straight track with a starting line and a finishing line and have your friend run from one end to the other.  To calculate their speed, you need to know how far they ran and the time it took, so you measure the length of the track with a measuring tape, and you time your friend’s run using a stop watch.  Describe at least one possible source of random uncertainty and one possible source of systematic uncertainty that might exist in this type of experiment.  Remember, uncertainty does not include making a mistake!

Q: (a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each…

A:

Q: (a) How many significant figures are in the numbers 999.0 and 106.ó? 999.0 1000.0 (b) If the…

A: (a) Significant numbers in 999.0 is 4 Significant numbers is 1000.0 is 5

Q: A digital timer, used in an experiment, displays 0.5378 s.  What is the uncertainty, due to the…

A: The uncertainty in a measurement is basically the least value that can be measured by that…

Q: An experiment is performed in an ideal condition to find out the velocity of a particle obeying the…

A: Given: The observed data of distance covered and time taken is,

Q: Problem 1: A runner runs around a circular track. He completes one lạp at a time of t = 260 s at a…

A:

Q: our car speedometer has an uncertainty of 4.8 km/h at a speed of 95 km/h. What is the percent…

A: speed of car= 95 km/hr Uncertainity = 4.8 km/hr

Q: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12 s. There is an uncertainty of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Kinetic energy K has dimensions kg.m 2 /s 2 . It can be written in terms of the momentum p and mass…

A: Dimensional analysis is the analysis of the relationships between different physical quantities by…

Q: Explain why, when defining the length of a rod, it is necessary to specify that the positions of the…

A: According to relativistic mechanics, absolute length or absolute time does not exist. Events at…

Q: (a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent…

A: The percentage uncertainty can be obtained as

Q: m An experiment to measure the density, d, of a cylindrical object uses the where m is the mass, r…

A: In this question we have to find the absolute uncertainty of the calculated value of density. Please…

Q: A student performs the experiment and measures the distance between photogates: d = 50 + 0.1 cm, the…

A: d = 50±0.1 cm t0 = 0.052±0.001 s s = 10±0.05 cm

Q: The reaction time of a student as determined by her teammates in the laboratory are as follows: a.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Imagine an experiment where you measure the width, length and height of a box, in centimeters.…

A: width of box (w) = 13 cm Length of box (L) = 29 cm Height of box (H) = 9 cm σw = 0.2 cm σL = 0.1…

Q: You measure the radius of a sphere as  (6.30 ± 0.30) cm,  and you measure its mass as  (1.77 ±…

A: Radius = (6.3±0.3)cmMass = (1.77±0.09)kgVolume, V = 43πr3V = 43xπx 6.31003V = 1.0474x10-3m3Density =…

Q: Suppose that the length of an object is measured multiple times.  Assuming that random errors are…

A: Error is defined as the uncertainty obtained occurs doing an experiment. The standard deviation is a…

Q: hi , may i ask whether my calculation is correct or not but my teacher said it has to be si unit for…

A:

Q: A rectangular brass bar, of mass M, has dimensions a, b, c. The following results They were…

A: to find the uncertainty in the density of the material we need to find the percent error then do the…

Q: how many significant figures are in the numbers 999.0 and 1000.0?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ) How many significant figures are in the numbers 99.0 and 100.0? 99.0       100.0       (b) If…

A: Part (a): Given: The numbers are 99 and 100. Calculation: Let us assume a significant figure for 99…

Q: .In using money in every transaction for transportation,buying goods and paying services,what error…

A: In the given cases, the transaction errors are taking place for transportation, buying goods and…

Q: Problem 9: A car travels a distance d = 20..5 m in the positive x-direction in a time of t1 = 16.5…

A: Given The distance traveled by car in time t1 = 16.5 s is d=20.5 m. The time in which a car start…

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: 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: 3. A car accelerates uniformly from rest and travels a distance of (100 ± 1) if the acceleration of…

A:

Q: Suppose we use the same force measurements above and were pulling a 1.3 kg mass block. Using the…

A:

Q: If the dragster could continue with this average acceleration, what would its speed be, in miles per…

A:

Q: You measure the dimensions of a rectangular block of aluminum to determine its volume. It has the…

A: Given:  l = 10.52 cm; w = 4.12 cm; h = 1.13 cm error = 0.01 cm

Q: 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…

A:

Q: A rectangle has a length of (2.0 ± 0.2) m and a width of (1.5 ± 0.1) m. Calculate (a) the area and…

A: Write the value of area of the rectangle and its uncertainty.

Q: In one of the labs, a student found the length and width of a rectangular wooden board. The recorded…

A: Given data: Length (l) = 35.7 cm Width (b) = 28.6 cm

Q: Wally wanted to find the volume of a cube. He measured the length of the cube as 4 in. Later, the…

A: Given data:  Length of cube (L) = 4 in Actual length (L') = 4.1 in Required: The relative error in…

Q: Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s, due to human…

A: a) The expression is, Therefore,

Q: A car speedometer has a 6% uncertainty. What is the range of possible speeds when it reads 100 km/h

A: The uncertainty of car from given information is, δA=6100×100 km/h     =6 km/h

Q: Consider the function: z = ( ₁ ) ² Z where x = 13.36 ± 0.03 and, y = 6.27 ± 0.05 are two independent…

A:

Q: You measure how long it takes to boil 1 liter of water (starting at room temperature). You repeat…

A:

Q: The first length measured in a laboratory experiment is 2.5 ± 0.1 m and the second length is 3.4 ±…

A: Given quantities: first length (a) = 2.5 ± 0.1 m second length (b) = 3.4 ± 0.1 m   a) It is known…

Q: Question 5 Given a set of length measurements: 60.58 cm, 60.07 cm, 60.12 cm, 60.99 cm, 60.00 cm,…

A:

Q: The position of a particle moving along the x axis may be determined from the expression x(t) = bt"…

A: Rewrite the provided expression of the position of the particle. Further, on substituting the known…

Q: The micrometer (1 mm) is often called the micron. (a) How SSM many microns make up 1.0 km? (b) What…

A:

Q: 7) An experiment is performed in an ideal condition to find out the velocity of a particle obeying…

A: The average distance of the particle is, s=3+9+13+14+175=11.2 cm The average time taken by the…

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.