A spring hangs from the ceiling with an unstretched length of ?0=0.89 m . A ?1=7.1 kg block is hung from the spring, causing the spring to stretch to a length ?s=1.02 m. Find the length Δx of the spring when a ?2=2.9 kg block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made.

A spring hangs from the ceiling with an unstretched length of ?0=0.89 m . A ?1=7.1 kg block is hung from the spring, causing the spring to stretch to a length ?s=1.02 m. Find the length Δx of the spring when a ?2=2.9 kg block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made.

Similar questions

In the distance future, data from the oscillation of a pendulum with a length of 2.1 cm and a mass of 630 g was collected from a planetary rover sent to the surface of planet HIP130446 in the Andromeda galaxy. The data from the ocillation of the pendulum is presented below. Oscillating Pendulum amplitude (cm) time (s) 14 12 0.333 4 10 0.500 8. 0.667 12 8 0.833 8 1.000 4 4 1.167 8 1.333 12 1.500 8 0.5 1 1.5 2 2.5 3.5 4 1.667 1.833 8. time (seconds) 2.000 12 2.167 8. 2.333 4 distance (cm) 3)
A 0.900 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k= 420 N/m. Let x be the displacement of the block from the position at which the spring is unstretched. At t= 0 the block passes through x = 0 with a speed of 4.20 m/s in the positive x direction. What are the (a) frequency and (b) amplitude of the block's motion? (a) Number i Units (b) Number i Units
Students attach a thin strip of metal to a table so that the strip is horizontal in relation to the ground. A section of the strip hangs off the edge of the table. A mass is secured to the end of the hanging section of the strip and is then displaced so that the mass-strip system oscillates, as shown in the figure. Students make various measurements of the net force F exerted on the mass as a result of the force due to gravity and the normal force from the strip, the vertical position y of the mass above and below its equilibrium position y, and the period of oscillation T when the mass is displaced by different amplitudes A. Which of the following explanations is correct about the evidence required to conclude that the mass undergoes simple harmonic motion? A.The period T of oscillation depends on the amplitude A of the mass, because the students can directly change this value during the experiment. B.The net force F exerted on the mass must be directly proportional to the…
A mass of 2.24 kg is placed on a vertical spring. What is the spring constant, in N/m, of a mass-spring system with a frequency of 1.01 Hz?
A spring is hung from the ceiling. A 0.556-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.102 m before momentarily coming to rest, after which it moves back upward. (a) What is the spring constant of the spring? (b) Find the angular frequency of the block's vibrations.
A vertical spring-mass system undergoes damped oscillations due to air resistance. The spring constant is 2.10 x 104 N/m and the mass at the end of the spring is 13.9 kg. (a) If the damping coefficient is b = 4.50 N· s/m, what is the frequency of the oscillator? 7.6 What is the expression for the amplitude of a damped oscillator in terms of the spring constant, the mass, and the damping coefficient? Hz (b) Determine the fractional decrease in the amplitude of the oscillation after 7 cycles.
A pendulum passes x = 0 with a speed of 0.537 m/s; it swings out to A = 0.202 m. What is the period T of the pendulum? (Assume the amplitude is small.) The period of oscillation of a spring-and-mass system is 0.600 s and the amplitude is 4.97 cm. What is the magnitude of the acceleration at the point of maximum extension of the spring?
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 air resistance, and the damping coefficient is b = 3.00 N · s/m. (a) What is the frequency (in Hz) of the damped oscillation? 11.802 Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? 3.1 % (c) Over what time interval (in s) does the energy of the system drop to 3.00% of its initial value? 4.68 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 150 N · s/m, recalculate the answers for parts (a) to (c) for this system if it is set in motion in the represented by b atmosphere of Venus. What is the frequency (in Hz) of the damped oscillations? 11.419 Hz What is the percentage decrease in amplitude in each cycle? 74.45 Follow the same steps as in part (b), only use the new value of b. Remember the angular frequency has now changed as…
In a spring-mass experiment, a hanging spring is stretched by 5 cm when a mass of 156 g object is attached to it. When the mass is put to oscillate, the sensor measured a maximum speed of 3.84 m/s. Take g = 9.8 m/s². b) What is the spring constant value? At what position(s) will the object have a speed 1/2 that of the maximum speed? Take y = 0 at the equilibrium and upward is a positive direction. At t = 0, the object is moving at 1/2V max away from the equilibrium with the spring compressed. Using y (t) = A cos(wt + 0), write a complete expression with numerical values and units to describe the motion of the object.
The pendulum from Experiment 1 has been experimentally determined to have a period of T0 when released from an angle θ0. The pendulum is then attached to the ceiling of an elevator that travels upward. The pendulum is released from rest at an angle θ0 at t=0s. From t=0s to t=10s, the elevator travels with a constant speed. From t=10s to t=20s, the elevator decreases its speed with a constant acceleration. From t=20s to t=30s, the elevator remains at rest. Which of the following graphs represents the period of the pendulum as a function of time?
A simple pendulum has a period of 2.7 s and an amplitude of 5.0 cm. The mass of the bob is 5 g. Calculate the maximum kinetic energy of the pendulum and give your answer micro Joules (μJ).
Which of the following mass-spring systems will have the highest frequency of vibration? Case A: A spring with a k=300 N/m and a mass of 200 g suspended from it.Case B: A spring with a k=400 N/m and a mass of 200 g suspended from it.