3. A 230.0 g object on a spring oscillates on a frictionless horizontal surface with frequency 2.00 Hz and amplitude 8.0 cm. Its position of time is given by r = Asin(wt) . A sketch a graph of the elastic potential energy as a function of time. (b) Graph the system's kinetic energy and potential energy as a function of time. (c) Describe qualitatively how your answers would change if the surface weren't frictionless.[6]
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- КА kB = wwwwww.. Lo = ellele Spring A N/m ниши N/m LA The two springs A and B depicted above are made of different materials and have different spring constants kд and k. The springs happen to have the same natural length Lo = 0.1 m. m When a mass m = 0.46 kg is hung from spring A, spring A oscillates for a short time then settles down to a stretched length LA = 0.23 m. When an identical mass is hung from spring B, spring B settles down to a stretched length LB = 0.4 m. What are the spring constants kд and kg of these springs, measured in N/m? Lo Spring B LB mmmmmmthe 2 5 13.0 2.5 2.6 1.5- 1.0 60.5 yo ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ Please show here the calculation of the slope. Slope = 0.00 Op Figure. 32.5n/m OUL 0.03 0.04 0.05 006 007 0.08*L 100% A webassign.net A metal cylinder with a mass of 1.50 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in Hz)? Hz (c) What is the maximum speed of the cylinder (in m/s)? m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? X = ± (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s.) m/s2 (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? X = ± (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? J (h) What is the speed of the cylinder (in m/s) when its…
- A block of mass 0.688 kilograms resting on a smooth horizontal surface is attached to a spring with a spring constant of 33.4 newtons per meter. The block is pulled horizontally 14.1 centimeters from its equilibrium position and released. a. What is the total mechanical energy of the system? Include units in your answer. b. What is the speed of the block when it is 9.0 centimeters from its equilibrium position? Include units in your answer. c. One end of the spring is then attached to a support so it hangs vertically, and the block is suspended from it and lowered into a resting position. How far does the block stretch the spring? Include units in your answer. d. As shown below, the block is then lifted 14.1 centimeters (labeled d in the figure) and released. What is the speed of the block when it is 9.0 centimeters from its equilibrium position (labeled y in the figure)? Include units in your answer. More information. Hint: Since the vertical position of the block is changing,…A 0.41-kg metal sphere oscillates at the end of a vertical spring. As the spring stretches from 0.12 m to 0.23 m (relative to its unstrained length), the speed of the sphere decreases from 7.0 to 4.5 m/s. What is the spring constant of the spring? Number i 306.17 Units N/nUse g = 10m/s/s
- Chapter 15, Problem 072 A uniform circular disk whose radius R is 14.7 cm is suspended as a physical pendulum from a point on its rim. (a) What is its period? (b) At what radial distance r < R is there a pivot point that gives the same period? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show WorkA09. The displacement of a body moving with simple harmonic motion is given by the equation y = A sin(2t + ½T) After one-quarter of a period has elapsed since t= 0, which of the following statements is сorrect? A) Half the total energy of the body is kinetic energy and half is potential energy. B) The kinetic energy is a maximum. C) The potential energy is a maximum. D) The total energy is a negative maximum. E) Both kinetic and potential energies are maxima.The 10 g head of a bobble-head doll oscillates in SHM at a frequency of 3.5 Hz Suppose the head is pushed 2.0 cm against the spring, then released. The amplitude of the head's oscillations decreases to 0.5cm in 4.0s. What is the head's damping constant?