If the mass on the hanging spring is pulled down and released, it starts to bounce. Do you expect the distance the mass bounces each time will stay the same, increase, or decrease? Explain using work and energy.
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If the mass on the hanging spring is pulled down and released, it starts to bounce....
6) A mass-spring system consists of a 250-g mass hanging from a spring with a spring constant of k 0.18 J/m2. The mass is pulled down 7.1 cm from its equilibrium position and released from re a) How much work did the person do when she pulled the spring down from its equilibrium position? Assume that the mass was at rest before she pulled it down, and before it was released. (Use the energy-interaction model, not the expression W FavgAx,...
A spring is hanging from a ceiling with 50g mass attached. When the mass is pulled down from the equilibrium and released, it oscillates with 0.4s period. The spring constant is equal to
A 500g mass is hung on a spring. Then it is pulled down 4cm and released from rest. It takes 8.45s to complete 10 full oscillations. What is the spring constant of the spring? Show your work.
A 0.2kg mass is attached to a vertical hanging spring, stretching it by 10cm. The mass is then pulled down an additional 10cm and is released. The amplitude decreases to 5cm in 30s. The spring constant: k= 19.6 N/m, Natural frequency is 9.89 rad/s, damping constant is 0.0092. a) What is the equation of motion for the mass as a function of time b)What is the equation for the energy of the mass as a function of time
. (25 points) A mass weighing 2 lb stretches a spring 6 in. If the mass is pulled down an additional 3 in. and then released, and if there is no damping, determine the position u of the mass at any time t. Draw the graph of u(t), find the frequency, period and amplitute of the motion. . (25 points) A mass weighing 2 lb stretches a spring 6 in. If the mass is pulled down an additional 3 in....
A block of mass 0.125 kg is hanging on a spring. Nora gently pulls the mass down a distance of 3.6 cm and then lets go. The mass bobs up and down in simple harmonic motion (i.e. it oscillates) with a period of 0.47 s. (a) What is the value of the spring constant? N/m Nora stops the mass from oscillating. She gently pulls the mass down again, this time to a distance of 4.6 cm, and lets the mass...
a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. In this situation, we define its position as x =0. The object is pulled down an additional 18.0 cm and released from rest to oscillate without friction. What is its position x at a moment 84.4 s later? (b) Find the distance traveled by the vibrating object in part (a). (c) What If? Another hanging spring stretches by 35.5...
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 hanging from one end of a spring whose other end is fixed to the roof, undergoes simple harmonic motion x(t)=2.4sin(0.6t)x(t)=2.4sin(0.6t). Now if the mass is pulled down from its equilibrium position by a distance 2 times its previous amplitude and released at time t=0t=0, its displacement as a function of time is A.2.4cos(1.2t)2.4cos(1.2t) B. 2.4sin(1.2t)2.4sin(1.2t) C. 4.8sin(1.2t)4.8sin(1.2t) D. 4.8cos(0.6t)4.8cos(0.6t) E. 4.8cos(1.2t)4.8cos(1.2t) F. 4.8sin(0.6t)
A spring with a mass on the end of it hangs in equilibrium a distance of 0.4200m above the floor. The mas is pulled down a distance of 0.0600m below the original position, released, and allowed to oscillate. How high above the floor is the mass at the highest point in its oscillation? Show work.