To estimate the velocity of a toy car you measure that it moves a distance of (20.0 +\- 0.03) meters in a time of (4.00 +\- 0.04) seconds. Use the rules for uncertainty propagation to obtain a value for the car’s associated uncertainty.

To estimate the velocity of a toy car you measure that it moves a distance of (20.0 +\- 0.03) meters in a time of (4.00 +\- 0.04) seconds. Use the rules for uncertainty propagation to obtain a value for the car’s associated uncertainty.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 18P

See similar textbooks

Related questions

Q: In an experiment to understand the concepts of potential and kinetic energies. as shown below,…

Q: Consider A Relativistic Particle,whose de-Broglie wavelength Is λR . If λc represents Compton…

Q: A proton is traveling with a speed of (8.660+_0.013) x 10^5 m/s. With what maximum precision can…

A: Given that:v=(8.660±0.013)×105 m/sSo, ∆v=0.013×105 m/s

Q: Find the value of the magnitude of the marble's velocity U=1/ f and its uncertainty. O (1.02 E0.02)…

A: Here we have to find the marbles velocity

Q: If the mass particle is of 2 kg (constant without uncertainty): report the change of kinetic energy,…

Q: In 2019, the International Committee for Weights and Measures adopted a new set of definitions for…

A: Given: New units are: Quantity Symbol unit Transition frequency of Cesium 133 ∆ν s-1 Plank's…

Q: The speeds of an electron and a proton have been measured to the same uncertainty. Which one has a…

A: The speeds of an electron and a proton have been measured to the same uncertainty.

Q: The normalization constant (in SI units) for a PIB model with box size of 5.27 nm is O a. 23859 O b.…

A: Given: The size of the box is 5.27 nm.

Q: electron using both the relativistic and nonrelativistic (classical physics) expressions; compute…

A: GivenSpeed of electron, v=6.0×107 m/sMomentum of electron=3.3×10-22 kg m/sMass of electron,…

Q: By measuring the go-and-return time for a laser pulse to travel from an Earth-bound observatory to a…

Q: The uncertainties of a position and a momentum of a particle (Ax) and (Ap) a defined as are

Q: A student makes the following measurements in the lab: x = 2.51 ± 0.01 cm y = 1.0592 ± 0.0005 cm…

A: Please see the answer below

Q: In 2019, the International Committee for Weights and Measures adopted a new set of denitions for the…

A: Solution: Let M be the mass in kilogram, L be the length in meters, and T be the time in seconds.…

Q: A bullet is fired from a gun. The bullet travels a distance L = 190 ± 0.5 m during a time interval…

Q: Q:-3(a)-An electron moves in the x direction with a speed of 2.8 x 10° m's. We can measure its speed…

A: Given: (a) Speed of electron along x-axis, v=2.8×106 m/s Precision in speed, ∆v=2% of v To find…

Q: What is WKB-approximations in Semi-classical physics?

A: What is WKB-approximations in Semi-classical physics?

Q: An alpha particle is a helium nucleus consisting of two protons and two neutrons. It is moving with…

Q: The speed of a certain proton is 350 km s-1. If the uncertainty in its momentum is 0.0100 per cent.…

A: Write the given values, and determine the uncertainty in the momentum of a proton as follows. v=350…

Q: Q-3(a)-An electron moves in the x direction with a speed of 2.8 x 10 ms. We can measure its speed to…

A: As per the given stats the solution for all the three parts is given below -

Q: The velocity of an electron moving in the +x direction with a velocity of 0.12 c is measured with 1%…

A: Given : Velocity of an electron (v) = 0.12 c = 0.12(3 x 108) = 3.6 x 107 m/s Precision = 1% = 0.01

Q: What is the sum of the following numbers, including significant digits and uncertainties: 13.5 + 0.3…

Q: A bullet is fired from a gun. The bullet travels a distance L= 190 t 0.5 m during a time interval…

Q: (a) What is the uncertainty in the energy released in the decay of a π0 due to its short…

Q: ive any analyzation about this uncertainty measurement in physics

A: Error in measurement done using ruler is greater than that of vernier

Q: A proton is known to be in a position located to within 8 fm. What is the minimum uncertainty in…

A: uncertainity in position (∆x) = 8 fm mass of proton (m) = 1.67×10-27 kg

Q: find the energy distribution function P(E) for a classical non-relativistic ideal gas, such that…

Q: For a free relativistic quantum particle moving with speed u, the total energy of the particle is E…

Q: How much time is needed to measure the kinetic energy of an electron whose speed is 10 m/s with an…

Q: Imagine another universe in which the value of Planck’s constant is 0.0663 J . s, but in which the…

A: Given: The value of Planck's constant is 0.0663 J.s. The distance is 12 m. The mass of the ball is…

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

A: Given that:- s=(100±1)ma=(6.5±0.5)m/s2u=0v=?

Q: Consider the following free particles : a 1-eV photon, a 1-MeV electron, and a 10-MeV proton. Which…

Q: A particle’s location is measured and specified as being exactly at x = 0, with zero uncertainty in…

A: The uncertainty principle tells about the uncertainty in position and velocity along a particular…

Q: In an experiment to understand the concepts of potential and kinetic energies, as shown below,…

Q: What is the approximate uncertainty in the mass of a muon, as determined from its decay lifetime?

A: The Heisenberg Uncertainty Principle for time and energy is given as,

Q: Two people measure a wave of a particle passing from a point in front of them and their measurements…

A: According to the superposition principle, y = y' + y'' where, y' and y'' be the individual waves.

Q: Assuming that the earth is homogeneous spherical body with radius R, show that its mean density 3g…

Q: Your video analysis of the motion of a marble gives it position in frame 23 as (x23, 923) = (0.134…

Q: denoted by gav

Q: It is contained inside a long, narrow cell of length 1 x 10 4m What uncertainty does this imply for…

Q: To estimate the velocity of a toy car you measure that it moves a distance of (20.0 +/- 0.03) meters…

A: Every measurement taken by an observer will have some uncertainty due to the lacking of the…

Q: When is it necessary to use relativistic quantum mechanics?

Question

100%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Show that when 1(x,t) and 2(x,t) are solutions to the time-dependent Schrödinger equation and A, B are numbers then a function (x,t) that is a superposition of these functions is also a solution: (x,t)=A1(x,t)+B1(x,t).
A car accelerates uniformly from rest and travels a distance of (100 ± 1) m. If the acceleration of the car is (6.5 ± 0.5) m/s^2, what would be its final velocity, together with its associated uncertainty, at the end of the distance covered?
To estimate the velocity of a toy car you measure that it moves a distance of (20.0 +/- 0.03) meters in a time of (4.00 +\- 0.04) seconds. Use the rules for uncertainty propagation to obtain a value for the car’s velocity.
Answer: Uncertainty of Speed = 0.3301 m/s A traffic patrol officer uses a UAV with a camera to measure the transit time of vehicles between two-mile markers to measure the speed of vehicles on a major highway. A certain vehicle passes through the two-mile markers with an average speed of 77 miles per hour, and the distance between the markers is 5280 ft ± (50 ft). If the officer uses a stopwatch to measure the transit time, and his reaction time uncertainty to any single event is 0.05 sec, what is the uncertainty in the aircraft-based speed measurement? calculation work shown either by hand or mathcad
A proton is accelerated to a speed of 2.10*10E5ms. If the uncertainty in the measured speed is 5% what is the mimum uncertainty in the position of the proton?
Consider the following measurements of a mass and speed for an object using the formula determine the momentum uncertainty of the object. Express answer in g•m/s
How much time is needed to measure the kinetic energy of an electron whose speed is 10 m/s with an uncertainty of no more than 0.1 percent? How
A free neutron (m=1.67 x 10-27 kg )has a mean lifeof 880 s. What is the uncertainty in its mass (in kg)?
Please identify the knowns, unknown(s), appropriate formula(s) then computation. 2. a) Compute the kinetic energy of an electron using both the relativistic and nonrelativistic (classical physics) expressions; compute the ratio of the two results (relativistic divided by non-relativistic) when its speed is (b.1) 6.0 x 107 m/s; and (b.2) its momentum is 3.3 x 10-22 kg - m/s. [The mass of an electron is 9.11 x 10-11 kg]
A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 0.300 fg (where a femtogram, fg, is 10−15g) and is swimming at a velocity of v = 9.00 μm/s , with an uncertainty in the velocity of 6.00 % . E. coli bacterial cells are around 1 μm ( 10−6 m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate. What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units (m).
If the mass particle is of 2 kg (constant without uncertainty): report the change of kinetic energy, ΔK= ½ m (??)^2 - ½ m (??)^2, calculating from the measurements
The speed of a certain proton is 350 km s-1. If the uncertainty in its momentum is 0.0100 per cent. what uncertainty in its location must be tolerated?