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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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
Transcribed Image Text:A 0.550 kg block attached to a light spring oscillates on a frictionless, horizontal table. The oscillation amplitude is A = 0.110 m and the block moves at 3.75 m/s as it passes through equilibrium at x = 0.
HINT
(a) Find the spring constant, k (in N/m).
| N/m
(b) Calculate the total energy (in J) of the block-spring system.
(c) Find the block's speed (in m/s) when x =
m/s
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- An ideal spring hangs from the ceiling. A 1.65 kg1.65 kg mass is hung from the spring, stretching the spring a distance ?=0.0925 md=0.0925 m from its original length when it reaches equilibrium. The mass is then lifted up a distance ?=0.0315 mL=0.0315 m from the equilibrium position and released. What is the kinetic energy of the mass at the instant it passes back through the equilibrium position?arrow_forwardI 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?arrow_forwardA horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 46.9 J and a maximum displacement from equilibrium of 0.227 m. (a) What is the spring constant? 1820.3 N/m (b) What is the kinetic energy of the system at the equilibrium point? 46.9 J (c) If the maximum speed of the block is 3.45 m/s, what is its mass? 7.88 kg (d) What is the speed of the block when its displacement is 0.160 m? m/s (e) Find the kinetic energy of the block at x = 0.160 m. J (f) Find the potential energy stored in the spring when x = 0.160 m. J (g) Suppose the same system is released from rest at x = 0.227 m on a rough surface so that it loses 12.1 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant? marrow_forward
- A horizontal spring with force constant k = 665 N/m is attached to a wall at one end and to a block of mass m = 2.35 kg at the other end that rests on a horizontal surface. The block is released from rest from a position 4.30 cm beyond the spring's equilibrium position. (a) If the surface is frictionless, what is the speed of the block as it passes through the equilibrium position? m/s(b) If the surface is rough and the coefficient of kinetic friction between the box and the surface is ?k = 0.300, what is the speed of the block as it passes through the equilibrium position? m/sarrow_forwardAn ideal spring hangs from the ceiling. A 1.25 kg mass is hung from the spring, stretching the spring a distance d = 0.0865 m from its original length when it reaches equilibrium. The mass is then lifted up a distance L = 0.0325 m from the equilibrium position and released. What is the kinetic energy K of the mass at the instant it passes back through the equilibrium position? K = d Equilibrium position wwwwww. wwwarrow_forwardA 0.300 kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 120.0 The block is pulled from equilibrium position at x = 0.000 m to a displacement x = + 0.080m and is released from rest. The block then executes simple harmonic motion along the horizontal x axis. What the total mechanical energy of the system ? Give your answer in Sl units .arrow_forward
- Asaparrow_forwardA 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 Jarrow_forwardA mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It takes 3.1 J of work to compress the spring by 0.15 m . If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2. Find the value of the spring constant. Find the value of the mass.arrow_forward
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