Your video analysis of the motion of a marble gives it position in frame 23 as (x23, 923) = (0.134 m, 0.120 m) and its position in frame 24 as (x24, 924) = (0.122 m, 0.112 m). You esti- mate that you can measure the x and y positions with uncertainty +0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this prob- lem, use 8(At) = 1 x 10-6s. The mass of the marble is (2.031±0.001) × 10-2 kg. Calculate the following quantities: 4. The value of the momentum component p = mv, and its uncertainty, 5. The value of the momentum component Py = muy and its uncertainty, and 6. The value of the kinetic energy K = mv² = m(v² + v²) and its uncertainty.

Your video analysis of the motion of a marble gives it position in frame 23 as (x23, 923) = (0.134 m, 0.120 m) and its position in frame 24 as (x24, 924) = (0.122 m, 0.112 m). You esti- mate that you can measure the x and y positions with uncertainty +0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this prob- lem, use 8(At) = 1 x 10-6s. The mass of the marble is (2.031±0.001) × 10-2 kg. Calculate the following quantities: 4. The value of the momentum component p = mv, and its uncertainty, 5. The value of the momentum component Py = muy and its uncertainty, and 6. The value of the kinetic energy K = mv² = m(v² + v²) and its uncertainty.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A table top was measured with the following dimensions- Length: 215.1cm +/- 0.05cm, Width: 91.2cm…

A: To find the volume and uncertainty σV of the table-top.

Q: The length and width of a rectangular room are measured to be 3.764 ± 0.005 m and 4.030 + 0.005 m.…

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

Q: The length of a race track is measured to be 50 m, with an uncertainty of 0.02 m. An athlete…

A: Length of track is 50 mAthelete complete the race is 6.972sThe uncertainty time measurement is…

Q: (Newton's Law of Cooling Experiment): Find the uncertainty of temperature pf the cooling rate using…

A: To find the uncertainty of the temperature cooling rate, we can follow these steps:Calculate the…

Q: Using the trig. substitution 2 sin(θ) cos (θ) = sin(2θ), the range expression becomes: Range =…

A: Apply the first kinematic equation in the vertical motion to determine the time to reach the maximum…

Q: 1. A student is using a track photogate to determine the time it takes her to run 50 meters. She…

A: Given information: The mean value of the time taken (Tavg) = 5.583714 sec Absolute uncertainty given…

Q: An angle is measured to be 109.0±0.6deg. What is the absolute uncertainty in the sine of the angle?

A: Given data: Angle θ=109.0±0.6°

Q: You are performing an experiment, and through analysis have determined that the value you were…

A: We will first calculate the percentage difference and then compare it with the uncertainity.

Q: By measuring the acceleration due to gravity a student finds gA=(9.85+-0.08)m/s^2. A student B finds…

A: Note: You have posted a question with more than three subparts. As per our policy, if nothing is…

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: A function f is defined by f = 4.2 x/y² where x = 2.40 ± 0.01 and y = 1.10 ± 0.04 Calculate the…

Q: A distance R is measured to be 3.400±0.005m. What is the relative uncertainty in R?

A: Given that:Distance R=3.400±0.005 m

Q: A traffic patrol officer uses a UAV with a camera to measure the transit time of vehicles between…

Q: A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m…

A: The mass of the bacterium is 0.100x10-18kg, velocity is 1.00x10-6m, and the percentage of…

Q: 1. Consider two time interval measurements: t1 0.84 + 0.08 sec and t2 0.96 ±0.08 sec. %3D %3D…

A: In this question we have to conclude the measurements of the two time intervals at the same time.…

Q: A car takes time t=(2.5±0.1) s to travel a distance Ax=(0.922±0.001) m. What is the relative…

Q: rectangular object has length l=30.3±0.6, width w=17.9±0.2. What is the absolute uncertainties in…

Q: uncertainty.

A: Given: A function y=Asinωt A=2.054±0.012 m ω=2735±8 s-1 t=0.000341±0.00015 s Note: sinx+∆x=∆xcosx;…

Q: why did you do times 3.2?

Q: Galaxies are moving apart due to the expansion of the universe. Suppose another galaxy-approximated…

A: Given: Speed with which the galaxy is moving away from us is 3.00×106 m/s. Introduction: Two…

Q: Question 24 A car speeds past a police car parked on the side of the road. The police officer stops…

A: Given data- The officer's radar gun recorded the car going V=53 km/h The radar gun has an…

Q: An object is released from rest and falls in free fall motion. The speed v of the object after it…

A: Given v2=2gy percentage uncertainty in measurement of v=5.19% percentage uncertainty in measurement…

Q: A ball's velocity in the z-direction at two time instants is (0.55+0.03 m/s, 2.2±0.1 s) and…

Q: If you have a simple pendulum where the equation of its linear graph is : L = g(T/2pi)2 where x =…

A: The length of the simple pendulum is, L=gT2π2 Here T is the time period. g is the accleration due to…

Q: Please find the nominal value of A and the uncertainty in this term.

A: Nominal Value The nominal value of a variable, also known as the absolute value of the variable, is…

Q: E = X3 xX²Y OE= XZ OF: A = D :

Concept explainers

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.

Question

Your video analysis of the motion of a marble gives it position in frame 23 as (x23, Y23) =
(0.134 m, 0.120 m) and its position in frame 24 as (x24, 324) = (0.122 m, 0.112 m). You esti-
mate that you can measure the r and y positions with uncertainty +0.003 m. The frame rate
of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s.
The uncertainty of the frame rate of a video camera is VERY small. For the sake of this prob-
lem, use 8(At) = 1 x 10-6 s. The mass of the marble is (2.031 +0.001) x 10-2 kg. Calculate
the following quantities:
4. The value of the momentum component p = mv, and its uncertainty,
5. The value of the momentum component py = muy and its uncertainty, and
6. The value of the kinetic energy K = mv² = m(v² + v²) and its uncertainty.

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

The radius of circle has been measured as r = (4.19 ± 0.3) cm. Calculate the uncertainty δA (in cm²) of its area (A = πr²). Enter the number only, without unit.
I1:00:00 PM Problem 3: Suppose the speed of light were only 3000.0 m's. A jet fighter moving toward a target on the ground at 810 m/s shoots bullets, each having a muzzle velocity of 1050 m's. Randomized Variables v-810 m/s v2 1050 m's ed What is the velocity of the bullets relative to the target in km's? Grade Sommary Deductions 0% Potential 100%
surface, denoted by “g”. In this imaginary experiment, you have measured g three times. The values you obtain are: g1 = 10.2 meters per second squared (m/s2) g2 = 10.4 m/s2 g3 = 10.0 m/s2 To find the Average Value of g, denoted by gav, simple add up the experimental values and divide by the number of experimental values you have: g1 + g2 + g3 10.2 + 10.4 + 10 gav = __________ = ____________ = 10.2 m/s2 . 3 3 Percent Error (PE) To find the Percent Error (PE), you compare the average experimental value to the standard or handbook value of the physical quantity you are measuring. The Standard Value of gravitational acceleration at Earth’s surface , gst, is 9.8 m/s2. Mathematically, PE is defined as: (Average - Standard)…
Imagine you derive the following expression by analyzing the physics of a particular system: v2=v20+2axv2=v02+2ax. The problem requires solving for xx, and the known values for the system are a=2.55meter/second2a=2.55meter/second2, v0=21.8meter/secondv0=21.8meter/second, and v=0meter/secondv=0meter/second. Perform the next step in the analysis.
Could someone please explain to me what a negative relative error means? I got a relative error value of -30% in my lap and am unsure of what this means in terms of accuracy and percision of my lab data/experiment. Any help would be great thank you!
A galaxy G is moving away radially with speed with respect to an observer O. The relation between X, the wavelength of light emitted at G, and λo, the wavelength observed at O, is 入。 λ = λe λε 1+B 1- B' = where ẞ v/c (c is the speed of light). For ẞ < 1 find a power series expansion of the above formula up to and including terms of order ẞ³.
Your video analysis of the motion of a marble gives it position in frame 23 as (x23, 923) = (0.134 m, 0.120 m) and its position in frame 24 as (x24, Y24) = (0.122 m, 0.112 m). You esti- mate that you can measure the x and y positions with uncertainty +0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this prob- lem, use (At) = 1 x 10-6 s. The mass of the marble is (2.031 +0.001) x 10-2 kg. Calculate the following quantities: 1. The value of the velocity component U = Xi+1Xi At and its uncertainty, Yi+1 Yi = and its uncertainty, At 2. The value of the velocity component vy 3. The value of the velocity magnitude v = 4. The value of the momentum component p 5. The value of the momentum component Py = muy and its uncertainty, and 6. The value of the kinetic energy K = =mv² = m(v²+v²) and its uncertainty. v2+2 and its uncertainty, = mv, and…