A pendulum with a length of 0.75 m and a mass of 4 kg is swinging consistently swinging back and forth without losing any energy to its environment. The maximum velocity the pendulum can achieve is 2 m/s. Calculate the maximum gravitational potential energy of the pendulum.
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- A box with mass of 150 kg is released from point A, 43 meters above the ground. The box slides without friction and then collides with a massless spring that is initially uncompressed. a) What is the total energy of the system? b) What is the speed of the box right before colliding with the spring? After colliding with the spring, the box gets stuck to the spring and starts oscillating back and forth. c) If the spring constant is 300 N/m, what is the amplitude of oscillation for the box-spring system? d) When the spring is compressed by Δs = 1.5 m, find the speed of the box. e) Find the maximum acceleration experienced by the box. f) What is the period of oscillation?A massless spring of spring constant k = 4307 N/m is connected to a mass m = 105 kg at rest on a horizontal, frictionless surface. Part (a) The mass is displaced from equilibrium by A = 0.81 m along the spring's axis. How much potential energy, in joules, is stored in the spring as a result? Part (b) When the mass is released from rest at the displacement A= 0.81 m, how much time, in seconds, is required for it to reach its maximum kinetic energy for the first time? Part (c) The typical amount of energy released when burning one barrel of crude oil is called the barrel of oil equivalent (BOE) and is equal to 1 |BOE = 6.1178362 GJ. Calculate the number, N, of springs with spring constant k = 4307 N/m displaced to A = 0.81 m you would need to store 1 BOE of potential energy. Part (d) Imagine that the N springs from part (c) are released from rest simultaneously. If the potential energy stored in the springs is fully converted to kinetic energy and thereby "released" when the attached…Current Attempt in Progress A 0.34 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 670 N/m) whose other end is fixed. The ladle has a kinetic energy of 310 J as it passes through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.27 m and the ladle is moving away from the equilibrium position? (a) Number i (b) Number i Units Units
- A mother is pushing her little son, Mark, on a swing; The highest point reached by the swing is 1.0 meter and the lowest point is 0.30 meter. Find the maximum speed of Mark while riding on the swing.(8c7p50) A 0.45 kg mass sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (with k = 725 N/m) whose other end is fixed. The mass has a kinetic energy of 12.0 J as it passes through its equilibrium position (the point at which the spring force is zero). At what rate is the spring doing work on the mass as the mass passes through its equilibrium position? Submit Answer Tries 0/5 At what rate is the spring doing work on the mass when the spring is compressed 0.091 m and the mass is moving away from the equilibrium position? Submit Answer Tries 0/5 This discUSsion is closod Send FeedbacA mass is attached to a spring. If the mass has a potential energy of 333 J when the spring is extended 1.11 m past its equilibrium point, what is the spring constant k, in units of N/m?
- A spring is compressed 0.100 m and launches a 3.25 kg object across frictionless ice. After some distance, the object hits a rough patch of ice where the coefficient of kinetic friction of the object on the surface is 0.200. If the spring constant of the spring is 137 N/m, find the distance the object travels across the rough patch of ice using work and energy.1. A simple pendulum is suspended from the ceiling by means of a string of length 1.14 m. Assume that there is no friction or air resistance. Suppose you were to release the pendulum from rest, starting from an angle of 58.2 degrees with respect to the vertical, as shown. What will be the speed of the pendulum at the instant it swings through its lowest point (that is, when it s momentarily hanging vertically)? 2.28 m/s 3.25 m/s 3.43 m/s 4.73 m/sA ball is attached to a vertical spring with a spring constant of 6.0 N/m.it is held at the equilibrium position of the spring and then released. it falls 0.40m and then bounce back up again. Calculate the mass of the ball
- A compressed spring has the potential energy of 20 J and its spring constant is 200 N/m. Calculate the displacement or extension of the spring.A block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmnonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 14.4 J. The maximum velocity of block, vmax, is: 3 m/s O 2.1 m/s O 2.4 m/s O 3.8 m/s O 1.8 m/sA mass of 0.25 kg is attached to a spring whose spring constant is k = 25 N/m. The spring is compressed 0.35 m on a frictionless surface and released from rest. At what location is the kinetic energy at a maximum, what is the amount of kinetic energy, and what is the velocity of the mass at that point?