A 35.0-g object connected to a spring with a force constant of 45.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. (a) Find the total energy of the system. m) (b) Find the speed of the object when its position is 1.30 cm.
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![A 35.0-g object connected to a spring with a
force constant of 45.0 N/m oscillates with
an amplitude of 4.00 cm on a frictionless,
horizontal surface.
(a) Find the total energy of the system. m)
(b) Find the speed of the object when its
position is 1.30 cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ec2144f-f8be-499c-9c2e-ae45d3e57f2c%2F431a92c4-14cd-4b63-babd-59fc18dcbfa3%2F9a6rgsk_processed.jpeg&w=3840&q=75)
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- The 5.00 kg object shown below is released from rest at a height of 7.0 m on a curved frictionless ramp. The object slides down the ramp and into the spring of force constant 500 N/m, compressing it a distance x before momentarily coming to rest. Find x.A 50.0 cm long spring with spring constant 237 N/m has a mass 1.8 kg attached to it, and it can oscillate on a horizontal table without any friction. The spring is pulled by a distance 5 cm from the resting position and released. What is the kinetic energy (in joules) of the mass at the instant when the length of the spring is 49 cm.A 0.050 kg object is attached to a spring with a spring constant of 150.0 N/m. The other end of the spring is attached to a wall in such a way that it rests on a frictionless horizontal surface. A force is exerted on the spring so that it experiences simple harmonic motion. How much work would be done on this spring to compress it by 15.0 cm?
- 2. A simple pendulum is suspended from the ceiling by means of a string of length of 1.82 m, Assume that there is no friction or air resistance.Suppose you were to release the pendulum from rest, starting from an angle of 42.9 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 12.9 degrees above the vertical? 0.95 m/s 4.64 m/s 2.94 m/s 3.09 m/sA 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…A simple pendulum, consisting of a mass of 2.0 kg, is attached to the end of string with unknown length. The mass is held out horizontally, and then released from rest. What must be the length of the string (m) if the speed of the mass at the bottom of the swing is 3.3 m/s?
- 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/sProblem 69. The light rod is pivoted at O and carries the 8 lb and 10 lb particles. If the rod is released from rest at 0 = 30° and swings in the vertical plane, calculate (a) The velocity v of the 8lb particle just before it hits the spring and (b) The maximum compression x of the spring. Assume that x is small so that the position of the rod when the spring is compressed is essentially vertical. 10 lb 18" www k = 150 lb/in. 8 lbCurrent Attempt in Progress The figure shows the popular dish antenna that receives digital TV signals from a satellite. The average intensity of the electromagnetic wave that carries a particular TV program is S = 7.60 × 10-14 W/m², and the circular aperture of the antenna has radius of r = 15.6 cm. (a) Determine the electromagnetic energy delivered to the dish during a one-hour program. (b) What is the average energy density of the electromagnetic wave? Area A k TV signal (a) Number i (b) Number i eTextbook and Media Units Units x= ct-
- I need help with finding the last part. A moving 1.70 kg block collides with a horizontal spring whose spring constant is 303 N/m. The block compresses the spring a maximum distance of 14.50 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.120. What is the work done by the spring in bringing the block to rest? How much mechanical energy is being dissipated by the force of friction while the block is being brought to rest by the spring? What is the speed of the block when it hits the spring?A 78-g object connected to a spring with a force constant of 39 N/m ocillates with an amplitude of 7 cm on a frictionless, horizontal surface. Find the total energy of the system. (answer should be in 3 decimal places)A 5.80 g toy cow is attached to a spring that has a spring constant of 4.60 N/m. The spring is stretched some unmeasured distance and released so that it begins to oscillate. The total energy of the system is measured as 0.828 J. What will the speed of the mass-spring system be when it is 18.2 cm away from its equilibrium position?