10. A mass is vibrating at the end of a spring of force constant 250 N/m. The figure below shows agraph of its position x as a function of time t.x (cm)5-524600t(s)a) Rank the "times (1 s, 3 s, 5 s, 7s) at which the speeds from the lowest to the highest?b) How much energy did this system contain at t=4s?c) How much energy did the system lose between t₁ = 2.0 s and t₂ = 8.0 s?

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Answered: 10. A mass is vibrating at the end of a…

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)...

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2. A 10.0-kg block is released from rest at a rough 5.0 m long 30° incline. The coefficient of kinetic friction between incline and box is 0.2. At the bottom of the incline is a frictionless flat track. The block travels down the track, hits a spring of force constant k = 100 N/m. Determine (a) the speed of the block at the bottom of the incline, (b) the maximum compressing distance of the spring from its equilibrium position. (25) 30° spring
1. A 12.0 kg block is released from rest on a 30.00 rough incline. The kinetic coefficient of friction is Hk = 0.100. Below the block is a spring that can be compressed 3.00 cm by a force of 2.50x10- N. The kinetic energy of the block just before it hits the spring is 2.50x102 J. a) Draw a free body diagram while the block is compressing the spring. b) What is the kinetic frictional force? c) By how much is the spring compressed when the block momentarily stops? 12 kg 30
Question 9 A 24.2 kg child hangs from an ideal spring and stretches it 72.3 cm from equilibrium. What is the spring constant of this particular spring?(PAMP945F20) a) O328 N/m b) O 164 N/m c) O3.28 N/m d) O 32.8 N/m e) O 16.4 N/m
1. A spring gun (spring constant k=100 N/m) is used to shoot a 5 g ball vertically up. The ball leaves the gun with speed 10m/s. a) What was the compression of the spring? b) What is the maximum height of the ball above the release point?
2. When the system is initially at rest, the spring is unstretched and k = 10 lb/ft. Find the velocity of B after it dropped 6 ft. Conservation of energy equation must be used to solve this problem. K- 10 b/ft d=4 5t W = 322 B N |28'8 Ib
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
The potential energy of a spring having a fixed end and a mass attached to the other end is given by U=1⁄2 kx^2 where k is the spring constant and x is the displacement from its equilibrium position. If the spring constant is 200 N/m. Determine the force exerted by the spring when it is displaced 30.0 cm from its equilibrium position. a. 40.0 N b. 80.0 N c. 20.0 N d. 60.0 N e. 100.0 N
A 2.0 kg block is held at rest on a horizontal smooth surface compressing a spring a distance of x-18 cm. Find the maximum speed (in m/s) that the block can reach when released. The spring constant is k-90 N/m. 0.67 080 0.94 1.1 12
08) Spring A has K=37.0 kg/m SpringB has K=82.0 kg/m Spring A and B are joined together end to end to make one long spring, attached to a wall. The other end is attached to a mass “m" on a smooth, frictionless surface. When the combined spring(s) are stretched by 30.0 cm and released, the block has a maximum velocity of 4.50 m/s. A) What is the mass of block "m*? Now the same springs are placed side by side, both attached to the wall and to mass “m". Theyare NOT attached to each other. The mass is stretched 30.0 cm as before and released. Find the ratio of the maximum speed in “A" (springs attached to each other) divided by the maximum speed in “B"(separate springs) В)
10. A certain spring has 15.0 J of elastic potential energy stored when compressed 0.38 m. The spring is now cut into four equal pieces. How much elastic potential energy is stored in one piece when compressed 0.26 m?
3 E C 7. When a 0.38-kg block is suspended on a vertical spring, it causes it to stretch 3.30 cm. If the block is now pulled 8.50 cm below its equilibrium position and released, what is the speed of the block when it is 4.00 cm below the equilibrium position? R 22 WEB 5 V T FG B m/s tv 6: MacBook Air 7 Y JU H N 44 U J 8 M DI | MOSISO ( 9 K O I ) O command P Л r zoom + option ISOIT P y m 04 M vanies of the auffer d delete
9. A 7.9 kg object is suspended 10 m above the ground. Directly beneath it is a spring with a spring constant of 6500 N/m. Qualitatively describe what occurs to the energy of the system once the object is released? (Hint: Consider what occurs as the object falls, encounters the spring, and if it will go back up again!)

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