A metal sphere with a mass of 4.00 kg oscillates at the end of a vertical spring with a spring constant of 2.20 x 104 N/m. The motion is damped by airresistance, and the damping coefficient is b = 3.00 N · s/m.(a) What is the frequency (in Hz) of the damped oscillation?Hz(b) By what percentage does the amplitude of the oscillation decrease in each cycle?%(c) Over what time interval (in s) does the energy of the system drop to 3.00% of its initial value?S(d) What If? The atmosphere of Venus is 50 times thicker than that on Earth. If the effect of air resistance on Venus is represented byb = 150 N · s/m, recalculate the answers for parts (a) to (c) for this system if it is set in motion in the atmosphere of Venus.What is the frequency (in Hz) of the damped oscillations?HzWhat is the percentage decrease in amplitude in each cycle?% 1:53 PM Fri Nov 20*1 46%A webassign.netYou are working on the plans for an expedition to colonize Mars. In an effort to provide a homey atmosphere for the Mars colonists, the plan is to senda number of grandfather clocks along with the expedition. Each colonist apartment will contain one grandfather clock. You are in charge of designingthe clock pendula. The clocks will have a pendulum with a period of T = 2.00 s when the acceleration due to gravity is 9.80 m/s?. Your design for thependulum includes a small object of mass m,= 1.89 kg mounted such that its center is at the end of a very light rod, as shown in (a) of the figure.The pivot point is at the upper end of the rod.(a)(b)m2dLLCM Xm1CM X(a) Determine the required length L for the rod (in m) when the clock is operating with a 2.00 s period on Earth.m(b) As shown in (b) of the figure, when the clock is operated on Mars, a small object of mass m, can be mounted at a position r that is 28.0% ofthe length of the rod from its pivot point. This additional object allows the period of the pendulum to be adjusted when located in differentgravitational fields by altering m, while keeping m,fixed in both mass and position. The acceleration due to gravity on Mars is 37.6% that onEarth. Determine the design requirement for the mass m, when the clock is operating with a 2.00 s period on Mars. (Entered the required massin kg.)kg

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Description: A metal sphere with a mass of 4.00 kg oscillates at the end of a vertical spring with a spring constant of 2.20 x 104 N/m. The motion is damped by airresistance, and the damping coefficient is b = 3.00 N · s/m.(a) What is the frequency (in Hz) of th

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A metal sphere with a mass of 4.00 kg oscillates at the end of a vertical spring with a spring constant of 2.20 x 10 N/m. The motion is damped by air resistance, and the damping coefficient is b = 3.00 N · s/m. (a) What is the frequency (in Hz) of the damped oscillation? Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? % (c) Over what time interval (in s) does the energy of the system drop to 3.00% of its initial value?

A metal sphere with a mass of 4.00 kg oscillates at the end of a vertical spring with a spring constant of 2.20 x 10 N/m. The motion is damped by air resistance, and the damping coefficient is b = 3.00 N · s/m. (a) What is the frequency (in Hz) of the damped oscillation? Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? % (c) Over what time interval (in s) does the energy of the system drop to 3.00% of its initial value?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 30P: A small object is attached to the end of a string to form a simple pendulum. The period of its...

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