A balloon performs SHM in a vertical line with a period of 40 seconds. Its height varies between 800 and 850 meters. Find the speed of the balloon when it is at 820 meters.
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Q: The 19 g head of a bobble-head doll oscillates in SHM at a frequency of 5.8 Hz.
A: Given: Frequency(f)=5.8Hz m=19g=0.019kg t=4sec X=0.5cm To find: k & b
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- A 1.005 m chain consists of small spherical beads, eachwith a mass of 1.00 g and a diameter of 5.00 mm, threaded on an elasticstrand with negligible mass such that adjacent beads are separated bya center-to-center distance of 10.0 mm. There are beads at each end ofthe chain. The strand has a spring constant of 28.8 N/m. The chain isstretched horizontally on a frictionless tabletop to a length of 1.50 m,and the beads at both ends are fixed in place. (a) What is the linear massdensity of the chain? (b) What is the tension in the chain? (c) With whatspeed would a pulse travel down the chain? (d) The chain is set vibratingand exhibits a standing-wave pattern with four antinodes. What isthe frequency of this motion? (e) If the beads are numbered sequentiallyfrom 1 to 101, what are the numbers of the five beads that remain motionless?(f) The 13th bead has a maximum speed of 7.54 m/s. Whatis the amplitude of that bead’s motion? (g) If x0 = 0 corresponds to thecenter of the 1st bead and x101 =…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.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.
- A light elastic string, of natural length 0.8 m and modulus of elasticity 35-4 N, has one end A attached to a fixed point and the other end B attached to a particle P of mass 3 kg. Initially P is held at rest at A. It is then released and allowed to fall. Calculate the speed of P when the length of the string is 1-2 m.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/s²A block is in SHM on the endof a spring, with position given byx = xm cos(vt+ f). If f = p/5 rad,then at t = 0 what percentage of thetotal mechanical energy is potential energy?
- An elastic cord is 72 cmcm long when a weight of 73 NN hangs from it but is 89 cmcm long when a weight of 210 NN hangs from it.What is the "spring" constant kk of this elastic cord?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.