A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm and released from rest. The time needed for the block to reach x = +6 cm for the first time is 0.2 sec. Determine the maximum restoring force applied on the block and its maximum acceleration. OF_max = 12 N; a_max = 14.8 m/s^2, OF_max = 12 N; a_max = 59.2 m/s^2, F_max = -1200 N; a_max = 5921.7 m/s^2, F_max = 6 N; a_max = 59.2 m/s^2, OF_max = 6 N; a_max = 14.8 m/s^2,

A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm and released from rest. The time needed for the block to reach x = +6 cm for the first time is 0.2 sec. Determine the maximum restoring force applied on the block and its maximum acceleration. OF_max = 12 N; a_max = 14.8 m/s^2, OF_max = 12 N; a_max = 59.2 m/s^2, F_max = -1200 N; a_max = 5921.7 m/s^2, F_max = 6 N; a_max = 59.2 m/s^2, OF_max = 6 N; a_max = 14.8 m/s^2,

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

A spring is stretched by 11.5cm. If the spring constant of the spring is 72.8N/m. How much elastic potential energy (in unit of joule) is stored in the spring?
The graph shows the force F that an archer applies to the string of a long bow versus the string's displacement x. Drawing back this bow is analogous to stretching a spring. If Fmax = 153 N and xmax = 0.21 m, determine the effective spring constant of the bow. N/m
To measure the static friction coefficient between a 4.50-kg block and a vertical wallI, the setup shown in the drawing is used. A spring (spring constant = 498 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0466 m, what is the coefficient of static friction? Number i Units
A 2.0 kg block is placed against a spring on a frictionless 30 degrees incline (from the horizontal). The spring, whose spring constant is 1960 N/m, is compressed 20 cm and then released. How far along the incline does it send the block? (Ans.= 4m)
4. A 3kg block sits on a ramp, against a spring. I pull back on the block, compressing the string by 4cm, and the block moves 1.4m up the ramp, so that it is 0.5m higher than it was before, before it stops. If the force of kinetic friction on the block from the ramp is K = 7N, find the spring constant k. Ef = Ei 0.5m + 1.4m W
k=5.00 N/m Point 1 Spring relaxed x=0 Point 2 mi | V₁x=0 X1= 0.100 m /// 1 m=0.200 kg* X₂=0.080 m 2x immm 5. A cart with mass m=0.2 kg sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has spring constant k = 5 N/m. The cart starts at x=0 cm, where the spring is at the rest length. You pull on the cart, stretching the spring 10 cm beyond the rest length (x = 10 cm), then release the cart from rest. The spring pulls the cart back towards the original equilibrium position. a.) What was the energy of the system just before the cart is released (Point 1 picture)? b.) What is the speed of the cart at x = 8 cm (Point 2 picture)? c.) What is the speed of the cart when it passes through the equilibrium point (x=0)?
cm. What elastic potential energy is stored in the spring scale in this situation? 17. Elsa was choosing springs to use on their door. She noticed that spring A was stiffer than spring B; that is, k, > kp. Which spring will have more elastic potential energy stored if (a) they are compressed the same distance and (b) if the same force is applied on them?
A bungee jumper stands on the top of a bridge, if her bungee cord is 24.0 m long and has a spring coefficient of 283 N/m and she has a mass of 48.3 kg. How tall must this bridge be for her bungee cord to stretch all the way to the ground? Number Units
Hot Spring Cold Compress. A 3.00 [kg] block compresses a spring with a displacement as a function of time given by x(t) = (7.00 [cm]) cos[(2.00[s ¹])t - 7.00] What is the force constant of the spring? Select one: O 0.120 [N/m] O -12.0[N/m] O 12.0[N/m] ○ -0.120[N/m]
1. In the figure shown, a 300-g block is initially connected to a compressed spring at point A, where x = 60 cm and k = 150 N/m. It was released and started moving along the horizontal surface (uk = 0.15) until it moves up along the inclined surface (uk = 0.25). The box then stops at point D along the incline with 0 = 40°. www.m Fx- A C 0 B A. What is the velocity of the block at point B? B. If e = 20 m, what is the change in gravitational potential energy from point A to point D? C. If f = 10 m, what is the value of e? D
A mass of 1.2kg is attached to a spring with a constant 12N/m. it is then displaced to a maximum point of 2m. How much time does it take for the block to travel to the point x=1.5m? answer in seconds
One end of a spring is attached to a fixed wall while a 0.36-kg block is attached to the other movable end. The spring is stretched 0.6-m horizontally, then released from rest. Calculate its speed when it goes back to equilibrium if the spring's force constant is k = 5 N/m.