Displacement Definition and 999 Threads

Homework Statement The radius of a wheel is 0.450 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 4.64 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope. What is the angular...

A car traveling rightward slams on the breaks and skids to a stop (with locked wheels). Find the distance required to stop it. (I have taken away some parts of the question.) The answer became -33.6 m. Why is the value negative? Thank you in advance!

Homework Statement A 180-g wood block is firmly attached to a light horizontal spring, Fig. 6-26. The block can slide along a table where the coefficient of friction is 0.30. A force of 20 N compresses the string 18 cm. If the spring is released from this position, how far beyond its...

Homework Statement What is the displacement amplitude of a sound wave of frequency 160.0 Hz in air at 20 °C at the pain-threshold pressure amplitude of 29.0 Pa? f = 160 Hz Vs = 343 m/s ΔP = 29 Pa Homework Equations ΔP(x,t) = (ΔP)cos(kx - wt) = β*s*k*cos(kx - wt) k = f/Vs The...

Torque, Angular Displacement, Work! Homework Statement The radius of a wheel is 0.525m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.45 N, unwinding the rope and making the wheel spin counterclockwise about its central axis. Ignore the mass...

Homework Statement What is meant by lateral displacement? Homework Equations The Attempt at a Solution

Hi The problem given is that there is a Force vector: F=3i(x^2 - y^2) + 2j(x+y) Then we are given coordinates, where all values are in meters and the magnitude of force is in Newtons. The question asks to calculate the work done in Joules by this force in a displacement along line y...

Homework Statement A spring has a relaxed length of 5 cm and a stiffness of 95 N/m. How much work must you do to change its length from 2 cm to 10 cm? k=95 Lnull=0.05 delta x = .1-.02 = 0.08 Homework Equations F=-kx W=Fdcostheta The Attempt at a Solution I honestly have...

Homework Statement A physics student slides a 2.0kg textbook along the laboratory bench to her friend. She imparts to the book an initial velocity of 2.70m/s. μ=0.20. How far away is her friend if the book comes to a stop right in front of her friend Vi= 2.70m/s μ=0.20 m=2.0kg Vf= 0m/s...

Homework Statement An inclined plane of angle θ = 20.0° has a spring of force constant k = 455 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.71 kg is placed on the plane at a distance d = 0.330 m from the...

What exactly is a double displacement reaction? I searched my textbook for the term--yes, I did check the glossary first--and it proved futile. My teacher alludes to this term and even has one power point slide to it. It says, "When an aqueous solution of sodium carbonate is added to an aqueous...

Hey, first post (: Was just wondering why the formula for distance is x = ½ at2 if v = at and x = vt then why is it ½ when you substitute in a? x = distance v = velocity t = time

Homework Statement A woman running at constant velocity speeds up and accelerates uniformly to the west by running 253 m west in 6.12 s. ff she ends up getting up to a velocity of 5.05 m/s w, how fast was she going originally? If she had run the same disance in 5.50 s, what would her average...

I have been reading Classical Mechanics by goldstein for over 2 months. I have encountered the concept of Virtual Disolacement in that book. Some of my friends have told me that it means a very small desplacement that you cannot see.. However, I am not sure if it is right. Then what is the...

Homework Statement A lost dog travels 30 degrees south of west for 450m. He then smells some food and sprints at 20 degrees east of north for 600m. Homework Equations a) Draw each vector. Label the magnitude and thetas. b)Calculate the vector components c) calculate the magnitude of...

- I need to find the appropriate launch angle that will land an object 65 meters north of my position. Therefore Δdx = 65m [N] - I am told that the time the object take to hit the ground is 5.23 seconds. Therefore Δt = 5.23s - I then used the equation Δdx = v1xΔt to find v1x = 12.43 m/s...

Okay so we have a block attached to a spring with a spring constant of 50 N/m. The spring is in the relaxed state. We apply a force 3N along the positive x direction. The block moves along the x axis,stretching the spring until the block finally stops. What is the block's displacement? When the...

Homework Statement The minute hand on a watch is 2.0 cm in length. What is the displacement vector of the tip of the minute hand: a) From 8:00 to 8:20 A.M.? b) From 8:00 to 9:00 A.M.? Homework Equations N/A. The Attempt at a Solution So, first I drew a diagram of the clock and...

Homework Statement A 13 N force with a fixed orientation does work on a particle as the particle moves through displacement = (3i - 5j + 3k) m. What is the angle between the force and the displacement if the change in the particle's kinetic energy is (a) +25.6 J and (b) -25.6 J...

Hello! Homework Statement As the title says I am attempting to calculate the mass displacement of a motion capture sequence, however I am not seeing the results I expect which is why I am posting here to make sure I have understood everything correctly. The data that is known is the...

Homework Statement Using graphical methods as much as possible, answer the following questions: (a) What is the displacement of the object at t=6.0s? (b) What is the average velocity of the object between t=0.00s and t=6.0s? (c) What is the average speed of the object between t=0.0s and...

Homework Statement A lost dog travels 30 degrees south of west for 450m. He ten smells some food and sprints at 20 degrees east of north for 600m. a) draw each vector. Label magnitude and theta. b) calculate the vector components c) calculate the magnitude of the dog's displacement...

Homework Statement The minute hand on a watch is 2.0cm in length. What is the displacement vector of the tip of the minute hand: a. from 8:00 to 8:20 b. From 8:00 to 9:00 Homework Equations The Attempt at a Solution I keep getting that the displacement is 1.8,2.8, but the program...

A dolphin leaps out of the water at an angle of 22.3 ° above the horizontal. The horizontal component of the dolphin's velocity is 8.53 m/s. Find the magnitude of the vertical component of the velocity. I'm not getting the right ans. Any help?

Lets say I had these two graphs: How would I find distance traveled, displacement, speed and velocity from these graphs? I would appreciate it if you could show your work. Thanks in advance.

Homework Statement Use the component method to add the following displacement vectors. D1= 25 m [N 30 W], D2= 30 m [N 40 E], D3= 35 m [S 25 W] Homework Equations I know all of the equations for vx, vy and the five equations. I also know sin, cos, tan and velocity, displacement...

A particle undergoes three displacements. The first has a magnitude of 15m and makes and angle of 35 degrees with the positive x axis. The second has a magnitude of 7m and makes an angle of 163 degrees with the positive x-axis. After the third displacement the particle returns to its initial...

1. A hiker makes four straight line walks A. 15km at 48 degrees B. 27km at 134 degrees C. 28km at 193 degrees D. 14 km at 228 degrees in random directions and lengths starting at position (41km, 41km). How far from the starting point is the hiker? All angles measured in a...

Homework Statement This probably seems really obvious but what formula do you use to find velocity with conservation of energy? Once you find the velocity, is it the velocity of the object at the bottom of the height? Homework Equations This is what I'm not sure about. Is it mgh=0.5mv^2?

Scientific error expected in displacement vs time graph and velocity vs time graph Homework Statement When I used a sensor to measure my movements of walking, during the graph of displacement vs time, I received a slope of -0.742 meters/second, and on the velocity vs time graph the mean I...

Homework Statement Hello, I have a homework question that I'm having difficulty with, it is: A car travels due east (bearing 90) from point A for 6km to point B and then North-west (bearing 315) for 4.0km to point C. By constructing a vector diagram, or otherwise, find the resultant...

Homework Statement I just want to know how you determine the acceleration on a velocity vs. time graph and how to determine the velocity on a displacement vs. time graph. Homework Equations The Attempt at a Solution

Homework Statement I can't figure out part two to a problem. The first part asked us to find the displacement, but I'll let you read for yourselves: Part 1: A cyclist maintains a constant velocity of 5.3 m/s headed away from point A. At some initial time, the cyclist is 259 m from point...

Homework Statement A catapult fires at an angle of 40.02 and has an initial velocity of 5.463. Find the vertical displacement at t=.38 seconds. I know the following from the problem and logic vo=5.463 t=.3824 g=9.8 angle=40.02 I calcuated the following voy=vosin40.02 voy=3.5133 Homework...

Homework Statement Find the (a) x, (b) y, and (c) z components of the sum of the displacements and whose components (in meters, m) along the three axes are cx = 7.9, cy = -4.0, cz = -6.2; dx = 4.5, dy = -1.5, dz = 3.3. Homework Equations I don't know. The Attempt at a Solution No idea how...

Homework Statement I need to find the steady state displacement amplitude for a driven harmonic system. Homework Equations mass (m) = .5kg stiffness (s) = 100 N/m mechanical resistance (Rm) = 1.4 kg/s force (f) = 2cos5t The Attempt at a Solution What I know: angular freq (w) = 5...

Homework Statement A stone is catapulted at time t = 0, with an initial velocity of magnitude 20.5 m/s and at an angle of 41.4° above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t = 1.16 s? Repeat for...

Homework Statement A 2kg block & 3kg block (left & right, respectively) are on a horizontal frictionless surface connected by a spring with K=140 N/m. A 15N force is applied to the 3kg block towards the right. How much does the spring stretch from its equilibrium length? Homework...

I had a small cannon on a desk where the projectile was shot out at 1.08 meters above the floor. The projectile's time taken to hit the floor was 0.452 seconds. The cannon is set to 0 degrees above horizontal. The horizontal distance traveled is 2.3 meters. Acceleration is gravity or -9.81...

Homework Statement A boat travels West a distance of 200m, then North 400m, and finally 100m South of East at 30 degrees. What is the net displacement. Homework Equations none The Attempt at a Solution Many attempts none make sense...lol

Three displacement vectors of a croquet ball are shown in the figure, where || = 10.0 units, || = 35.0 units, and || = 10.0 units. (a) Find the resultant in unit-vector notation. (b) Find the magnitude and direction of the resultant displacement. For part a, I broke each down...

Homework Statement A basketball player runs down the court, following the path indicated by the vectors A,B, and C in the figure. The magnitudes of these three vectors are 10, 20 and 7 m . Assume the positive x-axis is directed to the right. There is a 45degree angle outside of where A...

Homework Statement Two basketball players are essentially equal in all respects. (They are the same height, they jump with the same initial velocity, etc.) In particular, by jumping they can raise their centers of mass the same vertical distance, H (called their "vertical leap"). The first...

1. What is the displacement between t= 0 s and t= 7 s?The "area' under the curve, between the two times is the displacement. The "area" is the area enclosed by the curve and the time axis (v=0 line). Those parts of the curve with negative velocity contribute negative area and those with positive...

A woman walks 143m in the direction 55° east of north, then 178m directly east. Find the magnitude of the displacement vector. Answer: 306m Relevant equations: I will use vA as a shorthand to represent vector A and ||vA|| to represent the magnitude. Ax = ||vA||cos(theta) Ay =...

Homework Statement A record of travel along a straight path is as follows: (a) Start from rest with constant acceleration of 3.95 m/s 2 for 16.5 s; (b) Constant velocity of 65.175 m/s for the next 0.789 min; (c) Constant negative acceleration of −10.4 m/s 2 for 3.52 s. What was the total...

Homework Statement A runner completes 6 1/2 laps around a 400m track during 12min reun test. What is the runners displacement at the end of the 12 min? Homework Equations The Attempt at a Solution Well the distance covered is 2.6km or 2600m in 720s, avg speed = 3.61m/s So I...

Homework Statement The position of a particle moving along the x-axis depends on time as x(t) = 100 t^2 - 8 t^3 where x is in m and t in s. At what time does the particle reach its maximum positive x position? What is the length of the path covered by the particle between t = 0.0000 s and...

Homework Statement The minute hand on a watch is 2.0cm in length. What is the displacement vector of the tip of the minute hand from 8:00 am to 8:20 am? It wants it in x and y components. Homework Equations I found this equation online- i(L sin 2pi(T/12)) + j ((L cos 2pi (T/12))...

Hi, I am reading about how the displacement of a wave can be dependent on both time and position. They use first as an example wave pulses traveling down a rope: I understand how the time will have an effect: the points on the rope oscillate up and down, therefore, at different moments we will...