10. (Bonus-level question) A spring with natural length 40 cm is pulled out 19 cm and released. After 4 seconds the amplitude has decreased to 14 cm. The spring oscillates 13 times each second. Find a cosine function and a sine function that model the length L of the spring/ seconds after the spring was released. (Assume the amplitude of the spring decreases exponentially.)
Q: A 2 kg object attached to a horizontal spring oscillates with an amplitude A = 6 cm and frequency f…
A: In the Question given the values of mass , amplitude and frequency and we have to find the maximum…
Q: An object with a mass M is suspended from an elastic spring with a spring constant k. The object…
A: Given Data Mass of the object is M Spring constant of the spring is k Amplitude of oscillation of…
Q: You start a mass on a spring oscillating by pulling it down 0.10 m and releasing it. You find that…
A: It completes 2 oscillations in 1 second Time taken for 1 oscillation = 0.5 secondsSpring oscillates…
Q: c.) When the mass has fallen 3 cm from its highest point, what is the velocity of the spring?" use…
A:
Q: A simple harmonic oscillator consists of a 300 g mass hanging from a spring with a spring constant…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: A 5 kg object oscillates on a spring with an amplitude of 8 cm . The maximum acceleration of the…
A:
Q: A spring with spring constant 11 N/m hangs from the ceiling. A ball is attached to the spring and…
A: spring constant is k= 11 N/mamplitude is A= 3.5cmnumber of oscillation = 26time taken t =19s
Q: spring is hanging from the ceiling. Attaching a 590 g physics book to the spring causes it to…
A:
Q: A mass oscilates with simple harmonic motion of amplitude A. The kinetic energy of the mass will…
A:
Q: A 2.36 kg ball is attached to an unknown spring and allowed to oscillate. The figure (Figure 1)…
A:
Q: a. For this oscillation, what is: i. The period: ii. The frequency: iii. The angular frequency: iv.…
A:
Q: 1. Characterizing Oscillations (a) The equation of motion for a particle undergoing simple harmonic…
A: 1.a Given, Compare with this equation i. Amplitude of function is, A=3.5meters ii. The period is,…
Q: block of mass m 3 kg is attached to a spring with spring constant k = 250 N/m. Then it pulled a…
A: Given m = 3 kg
Q: A mass m = 4.8 kg is at the end of a horizontal spring of spring constant k = 395 N/m on a…
A: Given that:m=4.8 kgk=395 N/mA=3.5 cm=0.035 m
Q: amplitude of motion A . 8. An object having mass m = 16 g oscillates with simple harmonic motion…
A: Given Mass m = 16 g = 16 × 10-3 kg y = 2 Sin (πt/8 + π/4) comparing with y = a Sin(wt +φ) a = 2…
Q: Consider two pendulums with lengths l1 and I2 performing simple harmonic motion. The first pendulum…
A: Given : Two pendulums performing simple harmonic motion. First one have a rate of oscillation 10…
Q: A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg…
A: Solution:-StepI: Given, K=15 N/m m=2 kg A=10 cm Amplitude…
Q: A block of mass 0.469 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As…
A: Step 1:Given that :Mass of block (m) = 0.469 KgDisplacement of the block from the equilibrium…
Q: AMAAA 2 2 -2 -4 The graph represents the position (cm) as a function of time (s) for a 4 kg mass…
A:
Q: 10. A block on a horizontal frictionless plane is attached to a spring, as shown. The block…
A: A.) The potential energy of the spring is at a minimum at x=0at x=0,PE=12k02=0Answer: Option A is…
Q: to its end, it stretches 3.0 cm before reaching its new
A: Stretched length, x = 3 cm = 0.03 mAcceleration due to gravity, g = 9.8 m/s2
Q: A mass M is connected to a spring and can slide horizontally without friction. Stretching the spring…
A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…
Q: Review A 502 g mass oscillates with an amplitude of 12.0 cm on a spring whose spring constant is…
A:
Q: A 5000 kg floating pier is moved up and down by the changing tide. If the period of this motion is…
A:
Q: 3. A 230.0 g object on a spring oscillates on a frictionless horizontal surface with frequency 2.00…
A:
Q: mass is suspended on a spring and oscillates vertically
A: since the mass moves from lowest to highest point point in 0.6 second , that means it will complete…
Q: Consider a harmonic oscillator whose elastic potential energy is equal to its kinetic energy. Given…
A:
Q: A mass m = 3.2 kg is at the end of a horizontal spring of spring constant k = 310 N/m on a…
A:
Q: A mass-spring system has a solution of x = 0.35m*cos(3T/4*t). Find: A. The system's amplitude is m.…
A:
Q: 9.Describe the meaning of the term natural frequency. A body of mass 2 kg hangs from a spiral…
A: The mass of the body is m=2 kg. The maximum displacement of the body is A=10 cm=10×10-2 m The time…
Q: The graph shows displacement vs. time for an object that experienced SHM. What is the amplitude of…
A: The maximum displacement of a wave is said to be the amplitude. Hence, from the given graph, it can…
Step by step
Solved in 4 steps with 3 images
- 7) A 0.62 kg mass oscillates according to the equation x=0.29sin(5.8t) where x is in meters and t is in seconds. Part A Determine the amplitude. Express your answer to two significant figures and include the appropriate units. Part B Determine the frequency. Express your answer to two significant figures and include the appropriate units. Part C Determine the period. Express your answer to two significant figures and include the appropriate units. Part D Determine the total energy. Express your answer to two significant figures and include the appropriate units. Part E Determine the kinetic and potential energy when x is 17 cm . Express your answer to two significant figures and include the appropriate units.9. An object is attached to a bottom of 3 identical spring that is set into oscillation motion with an amplitude of 40.2 cm. The maximum speed of the object is 27.9 m/s. If the spring constant of a single spring is 1.78 x 10° N/m, what is the mass of the object.3. A 200g air glider is set up to move with almost no friction on a track. It has springs attached to both ends which give the system a combined spring constant of 30 N/m. At time t = 0, the glider has a velocity of 1.5 m/s 2 and is located at the equilibrium position. For this system, find the amplitude, period, angular frequency, and total energy, and write an equation of motion for the system.
- 4. The displacement y(t) of an undamped oscillator of mass m>0 on a spring with spring constant k>0, and initial displacement a + 0 and initial velocity zero satisfies my" + ky = 0, y(0) = a, y'(0) = 0 %3D a. Solve this initial value problem. b. Show that the solution is periodic with period T, meaning that y(t+T)= y(t), and express Tin terms of m and k.A 0.214-kg ball is hung vertically from a spring. The spring stretches by 3.44 cm from its natural length when the ball is hanging at equilibrium. A child comes along and pulls the ball down an additional 5cm, then lets go. How long (in seconds) will it take the ball to swing up and down exactly 4 times, making 4 complete oscillations before again hitting its lowest position? Hints: This question contains more information than necessary. Also, beware of unit conversions!5. A "seconds pendulum" is one that moves through its equilibrium position once each second. (The period of the pendulum is precisely 2 s.) The length of a seconds pendulum is 0.992 7 m at Tokyo, Japan and 0.994 2 m at Cambridge, England. What is the ratio of the free-fall accelerations at these two locations?
- A mass-spring system oscillates with an amplitude of 4.00 cm. If the spring constant is 241 N/m and the mass is 472 g, determine the mechanical energy of the system. Determine the maximum speed of the object. Determine the maximum acceleration.1) A 2.40 kg ball is attached to an unknown spring and allowed to oscillate. The figure below shows a graph of the ball's position x as a function of time. What are the oscillation's: a. period; b. frequency; c. angular frequency; d. amplitude; and e. What is the force constant of the spring? x (ст) 10.0| 5.0 |10.0 t (s) 15.0 -10.0|3. A 20 g block is attached to a spring and oscillates at 2.0 Hz. At one instant, the block is at x = 5.0 cm and has a velocity v = -30 cm/s Find the amplitude and the period of the motion.
- Problem 2: A block attached to a spring with unknown spring constant oscillates with a period of 3.3 s. Parts A to D are independent questions, each referring to the initial situation. a) What is the period if the mass is doubled? b) What is the period if the mass is halved? c) What is the period if the amplitude is doubled? d) What is the period if the spring constant is doubled? Answers: a) 4.7 s; b) 2.3 s; c) 3.3 s; d) 2.3 sA 7.2 kg-block attached to a 32 N/m-spring constant spring moves on a frictionless horizontal surface, back and forth between -3.0 m and +3.0 m. What is the period of this motion, in seconds? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.4-