When is a bouncing mass at the end of the spring the fastest? What is the kinetic energy?
When the mass is at mean position I. e., the spring attained its natural length the mass is fastest.
At this position due to elongation of spring the potential energy developed is converted into kinetic energy hence the maximum kinetic energy for the mass appears at mean position. The maximum kinetic energy is equal to (1/2) Kx^2 where K is spring constant and x is maximum elingation of spring due to bouncing mass.
When is a bouncing mass at the end of the spring the fastest? What is the...
Constants Part A A mass is oscillating with amplitude A at the end of a spring How far (in terms of A) is this mass from the equilibrium position of the spring when the elastic potential energy equals the kinetic energy? d- Submit Request Answer Return to Assignment Provide Feedback
A mass m at the end of a spring of spring constant k is undergoing simple harmonic oscillations with amplitude A. Part (a) At what positive value of displacement x in terms of A is the potential energy 1/9 of the total mechanical energy? Part (b) What fraction of the total mechanical energy is kinetic if the displacement is 1/2 the amplitude? Part (c) By what factor does the maximum kinetic energy change if the amplitude is increased by a factor of 3?
Problem14.38Part AWhen the displacement of a mass on a spring is the half of the amplitude, what fraction of the energy is kineticenergy?Part BAt what displacement, as a fraction of , is the energy half kinetic and half potential?
19.Suppose a mass suspended on a spring is bouncing up and down. The mass's distance from the floor when it is at rest is 1 m. The maximum displacement is 10 cm as it bounces. It takes 2 s to complete one bounce or cycle. Suppose the mass is at rest at t 0 and the spring bounces up first. a) Write a function to model the displacement as a function of time. b) Graph the function to determine the...
A mass attached to a spring is suspended as shown. When the mass is at rest the spring is 12 centimeters long. The unstretched length of the spring is 8 centimeters. The mass is pulled down so that the spring length is 16 centimeters and then released. A graph of the spring length as a function of time is shown. Eight points are labeled A - H in the graph. At which point or points is the spring potential energy...
A horizontal massless spring is connected to a wall. The other end of the spring is connected to a mass on a horizontal frictionless surface. The x=0 position is when the spring is not stretched or compressed. The spring is stretched 1 m by pulling on the mass. The mass is then released. What x-position is the kinetic energy of the mass maximum? =lesn> z
A particle with mass oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of and a duration of for cycles of oscillation. Find the frequency, the speed at the equilibrium position, the spring constant, the potential energy at an endpoint, the potential energy when the particle is located of the amplitude away from the equiliibrium position, and the kinetic energy, and the speed, at the same position. find: F= vmax= k= U max= U= K=...
A mass at the end of a spring is undergoing simple harmonic oscillations with amplitude A. a) What fraction of the total mechanical energy is kinetic if the displacement is ⅓ the amplitude? a) In terms of A, find the value of displacement x at which the potential energy equals 1 /16 of the total mechanical energy.
Is it possible for the potential energy and kinetic energy to both be maximum at the same moment in time for a bouncing spring? Explain.
A vertical spring has a mass of 500 g attatched to it, the system is at equilibrium. When pulled 30 cm down, it takes 12.4 seconds to finish 10 oscillations. The amplitude is approximately 20 cm througout. a. what is the spring constant? when the system is at rest, the mass is 40 cm above a flat surface. Find the potential energy of the spring, the gravitational potential energy of the mass, and the kinetic energy of the mass when:...