When a 0.20-kg block is suspended from a vertically hanging spring, itstretches the spring from its original length of 0.050 m to 0.060 m. Thesame block is attached to the same spring and placed on a horizontal,frictionless surface.0.20 kgwwThe block is then pulled so that the spring stretches to a total length of0.10 m. The block is released at time t = 0 and undergoes simpleharmonic motion.Complete the following statement: In order to increase the frequency ofthe motion, one would have toO decrease the mass of the block on the end of the spring.O reduce the spring constant.O increase the distance that the spring is initially stretched.O reduce the distance that the spring is initially stretched.

Given, mass of block, m=0.2 kg original length=0.05 m stretched to 0.06 m Total length when spring…

Answered: When a 0.20-kg block is suspended from…

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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A 0.60 kg block rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 18.5 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until x, = -4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the block's maximum speed (in m/s) after it is released? 1.23 X Mechanical energy is conserved in this system, and the gravitational term remains unchanged (since all motion is horizontal). Write an expression for mechanical energy that includes the kinetic energy and the potential energy of the spring. Which term(s) can be ignored when the spring is compressed and the block at rest? Which term(s) can be ignored when the block is moving at its greatest speed? Use the remaining terms, and the given quantities, to solve for the maximum speed. m/s (b) How fast is the block moving (in m/s) when the spring is…
Two massless springs with spring constants 610 N/m and 116 N/m are hung from a hor- izontal support. A block of mass 6 kg is suspended from the pair of springs, as shown. When the block is in equilibrium, each spring is stretched an additional Ar. Then the block oscillates with an amplitude of 49 m and it passes through its equilibrium point with a speed of 539 m/s. 610 N/m -oooo² 6 kg -0000² 116 N/m What is the angular velocity of this system? The acceleration due to gravity is 9.8 m/s. 1. w = 15 2. w = 2 3. w = 11 rad/s 4. w = 13 5. w = 21 6. w = 16 7. w = 8 X 8. w = 4 9. w = 6 10. = 18
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
The potential energy of an object attached to a spring is 2.60 J at a location where the kinetic energy is 1.30 J. If the amplitude ?of the simple harmonic motion is 19.0 cm, calculate the spring constant ? and the magnitude of the largest force ?spring, max that the object experiences.
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
A spring Is suspended vertically from a celling. When a 2.80-kg mass is attached to the bottom of the spring, Its equilibrlum length Increases by 4.00 cm. If the mass Is further pulled down by 5.00 cm from its new equilibrlum length and released, what is the frequency of the simple harmonic motion?
The potential energy of an object attached to a spring is 2.40 J at a location where the kinetic energy is 1.70 J. If the amplitude A of the simple harmonic motion is 20.0 cm, calculate the spring constant k and the magnitude of the largest force Fspring, max that the object experiences.
A block of mass m = 11.54 kg on a rough horizontal surface is attached to a light spring with spring/force constant k = 2.17 kN/m with the other end fixed. The block is pulled xi = 7.66 cm to the right from the equilibrium point and released from the rest. The coefficient of kinetic friction between the block and the rough horizontal surface is μk = 0.2. When the block passes through the equilibrium point, what is the velocity of the block vf in m/s? Keep three significant figures for the answer. g = 9.80 m/s2.
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