horizontal spring with force constant k = 700 N/m is attached to a wall on one end. The other end of the spring is attached to a 1.60 kg block that rests upon a frictionless floor, as shown below. wiwwwwww. x=0 x= x/2 x= x, a) The block is displaced to an initial position of x, = 7.90 cm, extending the spring. Calculate PE, the potential energy (in J) stored in the spring when the block is in this initial position. 2. 18 b) After being held motionless at x, = 7.90 cm, the block is released. Find the speed (in m/s) with which it passes through the equilibrium position (x = 0). 1.65 v m/s c) What is the speed (in m/s) of the block when it passes through the position i? 715 x m/s

horizontal spring with force constant k = 700 N/m is attached to a wall on one end. The other end of the spring is attached to a 1.60 kg block that rests upon a frictionless floor, as shown below. wiwwwwww. x=0 x= x/2 x= x, a) The block is displaced to an initial position of x, = 7.90 cm, extending the spring. Calculate PE, the potential energy (in J) stored in the spring when the block is in this initial position. 2. 18 b) After being held motionless at x, = 7.90 cm, the block is released. Find the speed (in m/s) with which it passes through the equilibrium position (x = 0). 1.65 v m/s c) What is the speed (in m/s) of the block when it passes through the position i? 715 x m/s

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

Similar questions

I Review I Constants An ideal spring stores potential energy Uo when it is compressed a distance xo from its uncompressed length. sS Part C In terms of xo , how much must the spring be compressed from its uncompressed length to store twice as much energy? Express your answer in terms of xo. nν ΑΣφ ? Submit Request Answer Part D In terms of xo, how much must the spring be compressed from its uncompressed length to store half as much energy? Express your answer in terms of x0. ?
If a spring compressed by 76 cm contains 2.4 J of potential energy, what is the spring constant (k) for that spring? Express your answer in N/m.
A spring is compressed 0.100 m and launches a 3.25 kg object across frictionless ice. After some distance, the object hits a rough patch of ice where the coefficient of kinetic friction of the object on the surface is 0.200. If the spring constant of the spring is 137 N/m, find the distance the object travels across the rough patch of ice using work and energy.
A horizontal spring attached to a wall has a force constant of k = 830 N/m. A block of mass m = 1.40 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. wiwwwww. x= 0 x = x;/2 x= X; (a) The block is pulled to a position x; = 6.60 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.60 cm from equilibrium. 2.91*10**- >X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J (b) Find the speed of the block as it passes through the equilibrium position. 6.45 Your response differs from the correct answer by more than 100%. m/s (c) What is the speed of the block when it is at a position x/2 3.30 cm? 5.58 Your response differs from the correct answer by more than 100%. m/s
A spring is characterized by a spring constant of 60N/m. How much potential energy does it store when stretched by 0.5cm?
A 0.90 kg brick compresses a spring 0.35 meters at point A and the spring has a spring constant of 75 N/m. How much elastic potential energy does the brick possess? A В hA = 0 he = 0 VA = 0 Vв > 0 A 3.20 Joules 984 Joules 4.59 Joules 675 Joules O O O O
SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's law. When stretched/compressed x metres, it exerts a force of 39.6x+51.6x2 (a) Compute the work required to stretch the spring from x= 1.0 m to x 1.3 m.
1. A roller-coaster car with a mass of 1200 kg starts at rest from a point 20 m above the ground. At point B, it is 9 m above the ground. [Express your answers in kilojoules (kJ).] a. What is the initial potential energy of the car? b. What is the potential energy at point B? c. If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 40 000 J (40 kJ), what is the kinetic energy of the car at point B 2. The time required for one complete cycle of a mass oscillating at the end of a spring is 0.80 s. What is the frequency of oscillation?
A certain spring is found not to obey Hooke's law; it exerts a restoring force F(x) = -ax² - 6x³ if it is stretched or compressed, where: a = 10.0N/m², B = 300.0N/m³ The mass of the spring is negligible. Calculate the potential energy function U(x) for this spring, if U(x=0) = 0. Find the spring potential energy at x = 0.500 m
Suppose a box of mass m slides toward a spring with a speed of Vi, presses 1.00 m into the spring, and then bounces away with a final speed of 15.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk = 0.5).
Suppose a box of mass mm slides toward a spring with a speed of vi, presses 1.00 m into the spring, and then bounces away with a final speed of 13.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk= 0.5).