(b) A block of mass m = 4 kg is attached to a spring, and undergoes simple harmonic motion with a period of T = 0.35 s. The total energy of the system is E = 2.5 J. What is the force constant of the spring? What is the amplitude of the motion?
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- Please help me understand this practice problem.The potential energy of an object attached to a spring is 2.50 J at a location where the kinetic energy is 1.40 J. If the amplitude ? of the simple harmonic motion is 22.0 cm, calculate the spring constant ? and the magnitude of the largest force ?spring, max that the object experiences.A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 5cm and releases it at time t = 0s. The spring and object begin to oscillate under simple harmonic motion. Find the total energy of the system, the maximum kinetic energy, the maximum potential energy, and the positions where the maximum energies occur. Answers: 0.01875 J, 0.01875 J
- A pendulum is undergoing simple harmonic motion. At a particular instant, you measure its speed to be v0,and you notice that exactly half of its energy is potential, and the other half is kinetic. It is a simple pendulum oflength l, with all of its mass (m) concentrated in a point at the end. a) In terms of v0, what is the highest speed the pendulum will reach? b)What is the largest angle that the pendulum will reach?The potential energy of an object attached to a spring is 2.60 J at a location where the kinetic energy is 1.30 J. If the amplitude ?of the simple harmonic motion is 19.0 cm, calculate the spring constant ? and the magnitude of the largest force ?spring, max that the object experiences.In Concept Simulation 10.2 you can explore the concepts that are important in this problem. Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 390 s. What is the magnitude of the acceleration due to gravity on this planet?
- A metal sphere with a mass 7.00 kg is connected to a spring with a force constant of 200 N/m, and it oscillates horizontally with an amplitude of 2.20 cm. (a) What is the total mechanical energy (in J) of the sphere-spring system? (b) What is the maximum speed (in m/s) of the oscillating sphere? m/s (c) What is the maximum magnitude of acceleration (in m/s2) of the oscillating sphere? m/s²The potential energy of an object attached to a spring is 2.40 J at a location where the kinetic energy is 1.70 J. If the amplitude A of the simple harmonic motion is 20.0 cm, calculate the spring constant k and the magnitude of the largest force Fspring, max that the object experiences.The potential energy of an object attached to a spring is 2.70 J at a location where the kinetic energy is 1.60 J. If the amplitude ? of the simple harmonic motion is 17.0 cm, calculate the spring constant ? and the magnitude of the largest force ? spring,max that the object experiences.