A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k = 218 N/m. The mass of the block is 7.8 kg. The spring is stretched out and released at t=0.00 s. The block undergoes simple harmonic motion. if the magnitude of the block's acceleration at t= 5.4 s is 19.7 cm/s2, determine the total energy (mJ) of the spring-block system? Give answer to two places to the right of the decimal. Note: angular quantites should be in radians. wwww m

A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k = 218 N/m. The mass of the block is 7.8 kg. The spring is stretched out and released at t=0.00 s. The block undergoes simple harmonic motion. if the magnitude of the block's acceleration at t= 5.4 s is 19.7 cm/s2, determine the total energy (mJ) of the spring-block system? Give answer to two places to the right of the decimal. Note: angular quantites should be in radians. wwww m

Name: A spring-block system sits on a horizontal, frictionless surface. The
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: A spring-block system sits on a horizontal, frictionless surface. The spring has aspring constant k = 218 N/m. The mass of the block is 7.8 kg. The spring isstretched out and released at t=0.00 s. The block undergoes simple harmonicmotion. if the ma

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

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.050 m to 0.060 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface. The block is then pulled so that the spring stretches to a total length of 0.10 m. The block is released at time t = 0 and undergoes simple harmonic motion. What is the frequency of the motion?
A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 6.5 rad/s. The drawing shows the position of the block when the spring is unstrained. This position is labeled "x = 0 m." The drawing also shows a small bottle located 0.080 m to the right of this position. The block is pulled to the right, stretching the spring by 0.050 m, and is then thrown to the left. In order for the block to knock over the bottle, it must be thrown with a speed exceeding vo. Ignoring the width of the block, find vo. x=0m الفيسا 0.050 m 0.080 m
A 0.300 kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 120.0 The block is pulled from equilibrium position at x = 0.000 m to a displacement x = + 0.080m and is released from rest. The block then executes simple harmonic motion along the horizontal x axis. What the total mechanical energy of the system ? Give your answer in Sl units .
A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 5cm and releases it at time t = 0s. The spring and object begin to oscillate under simple harmonic motion. Find the total energy of the system, the maximum kinetic energy, the maximum potential energy, and the positions where the maximum energies occur. Answers: 0.01875 J, 0.01875 J
A block of mass m = 5 kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 36.1 J. The maximum velocity of the block, vmax, is:
A 0.50 kg object rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 25.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until xi = −4.00 cm. It then is released from rest and undergoes simple harmonic motion. How fast is the object moving (in m/s) when the spring is momentarily compressed by 1.30 cm (that is, when x = −1.30 cm)? How fast is the object moving (in m/s) whenever the spring is extended by 1.30 cm (that is, when passing through x = +1.30 cm)?
lassie is in a box that is attached to a spring that is executing simple harmonic motion. lassie and the box have a combined mass of 75 kg. The spring has a spring constant of 360 N/m. When lassie and the box is 0.75 m from the spring’s equilibrium position, he moves at a speed of 0.40 m/s. Calculate the maximum speed that lassie attains, given there is no friction or air resistance.
A block of mass m is attached to a spring of spring constant k = 100 N/m. The block-spring system oscillates on a frictionless horizontal surface with a total mechanical energy of 4 J. At what positions, x, is the kinetic energy 68% of the total energy? (K = 0.68E → x = ?) x = +0.24 m O x = ±0.08 m x = ±0.16 m O x = ±0.32 m simple pendulum is oscillating with a maximum angular displacement @max. At t in moving to the left
An 8.00-kg block is attached to one end of a horizontal spring on a level, frictionless surface. The other end of the spring is attached to a vertical support. The spring obeys Hooke's law and has a spring constant of k =288 N/m. A physics student pulls the block outward so that the spring stretches by 50.0 cm. The student subsequently releases the block so that it undergoes simple harmonic motion. What is the maximum speed of the oscillator? a. 6.0 m/s b. 5.0 m/s c. 4.0 m/s d. 7.0 m/s e. 3.0 m/s
15 MCQS A block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 14.4 J. The maximum velocity of block, vmax, is: 2.4 m/s O 3 m/s O 2.1 m/s O 1.8 m/s 3.8 m/s A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and is given an
N 4 99% 16:34 20 rad/s O 2.5 rad/s A block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 14.4 J. The maximum velocity of block, vmax, is: O 3.8 m/s O 2.4 m/s O 1.8 m/s O 2.1 m/s O 3 m/s
You attach one end of a spring with a force constant k = 913 N/m to a wall and the other end to a mass m = 2.62 kg and set the mass-spring system into oscillation on a horizontal frictionless surface as shown in the figure. To put the system into oscillation, you pull the block to a position x₁ = 4.76 cm from equilibrium and release it. (a) Determine the potential energy stored in the spring before the block is released. (b) Determine the speed of the block as it passes through the equilibrium position. m/s (c) Determine the speed of the block when it is at a position x/4. m/s