11.) The maximum energy of a vibrating mass is 3.00 x 10^-2 joules. The amplitude of oscillation is 2.50 mm with a frequency of 200 Hz. A. What is the mass of the object? B. What is the maximum acceleration of the object? C. If the mass affects the vibration frequency (like that of a mass and spring system), what should the mass be to double the maximum energy? Assume that the oscillation amplitude is not affected.
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- 47. The figure shows four identical mass-spring systems at different positions in the oscillation. Which of the statements below relates the kinetic and potential energies of the systems?A. potential energy of A is at its minimum and kinetic energy of A is at its maximumB. potential energy of B is at its minimum and kinetic energy of B is at its maximumC. potential energy of C is at its minimum and kinetic energy of C is at its maximumD. potential energy of D is at its minimum and kinetic energy of D is at its maximum4. Bodies A and B are moving in the same direction in a straight line with a constant velocities on a frictionless surface. The mass and the velocity of A are 2kg and +10 m/s. The mass and the velocity of B are 6kg and 4 m/s. A spring is connected to the back of the body B who's spring constant is 800 N/m. What would the maximum compression of the spring be? A 10 m/s B 4 m/s 2 kg 6 kgA 170 g mass attached to a horizontal spring oscillates at a frequency of 4.60 Hz. At t = 0 s, the mass is at x = 5.80 cm and has vx = -38.0 cm/s. A. Determine the total energy. B. Determine the position at t = 3.40 s.
- A 5.0 kg object is placed on top of a vertical spring. Eventually the object comes to rest 10 cm below its starting point. The mass is then pushed down until the spring is compressed by 30 cm in total. It is then released. a. What maximum height, above the uncompressed spring, does the mass reach? b. What is the speed of the object when it leaves the spring? c. What is the maximum speed that the object reaches? d. What is the maximum acceleration of the object? Answer in 2 significant digits (or 3)A 1000 g mass is attached to a spring with k = 120 N/m and allowed to oscillate. At what speed will the mass have 6.2 J of kinetic energy? O A) 0.012 m/s B) 0.11 m/s C) 3.5 m/s D) 12 m/sA 2.2 kg mass oscillating while attached to a vertical spring with spring constant k = 11 N/m travels through its equilibrium position at speed v = 1.1 m/s. What is the amplitude of this oscillator's motion? A. 0.22 m B. 0.49 m C. 0.40 m D. 0.58 m O A OB oo O C D
- 8. An object of mass 4.10 Kg is placed against a spring that is horizontally compressed by 0.07 m to produce an elastic potential energy of 3.01 J. a. What is the spring constant, k? b. What is the object's speed immediately after it leaves the spring? Assume that the surface is frictionless, and the object is not attached to the spring.a. If you took a pendulum to the moon where g = 1.6 m/s2, what change would you observe in its period? b. Are there factors other than length and gravitational acceleration that affect the period of the pendulum? Why is the period of a pendulum bob independent of its mass?A 1.0 kg block is attached to a spring with spring constant 16 N/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 40 cm/s.What area. The amplitude of the subsequent oscillations?b. The block’s speed at the point where x = 1/2 A?
- A block attached to a spring with unknown spring constant oscillates with a period of 2.00 s. What is the period ifa. The mass is doubled?b. The mass is halved?c. The amplitude is doubled?d. The spring constant is doubled?Parts a to d are independent questions, each referring to the initial situation.Q4. An ideal mass-spring system is oscillating horizontally. When the mass is at its maximum distance from the equilibrium position, which of the following statements about it are true? (This is a multi-select question. You may select one or more options.) Its speed is at its maximum. Its kinetic energy is at its minimum. Its total mechanical energy is zero. The spring's potential energy is at its maximum. Its acceleration is non-zero.A 75 kg athlete climbs a rope (Y=5.10^9 Pa) with diameter d=2cm. a. what is the tension in the rope while climbing up b. How much will the rope stretch when the athlete is l0=10m from the bottom? c. What effectively is the spring constant for this rope?