6. A 20.0 kg mass, released from rest, slides 6.0 m down a frictionless ramp inclined at 30.0 degrees from the horizontal. It strikes a spring (k-200 N/m). Assume the spring is ideal with negligible mass and mechanical energy is conserved. a. Determine the speed of the block just before it hits the spring. b. Determine the distance the spring has compressed when the block comes to rest. c. How do you know the speed of the block is at its maximum when it hits the spring?

6. A 20.0 kg mass, released from rest, slides 6.0 m down a frictionless ramp inclined at 30.0 degrees from the horizontal. It strikes a spring (k-200 N/m). Assume the spring is ideal with negligible mass and mechanical energy is conserved. a. Determine the speed of the block just before it hits the spring. b. Determine the distance the spring has compressed when the block comes to rest. c. How do you know the speed of the block is at its maximum when it hits the spring?

Name: I need help with this question 6. A 20.0 kg mass, released from rest,
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Description: I need help with this question 6. A 20.0 kg mass, released from rest, slides 6.0 m down a frictionless ramp inclined at30.0 degrees from the horizontal. It strikes a spring (k-200 N/m). Assume the spring isideal with negligible mass and mechanical en

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter14: Vibrations And Waves

Section: Chapter Questions

Problem 103A

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A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 47.0 J and a maximum displacement from equilibrium of 0.240 m. (a) What is the spring constant? (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? (d) What is the speed of the block when its displacement is 0.160 m? (e) Find the kinetic energy of the block at x = 0.160 m. (f) Find the potential energy stored in the spring when x = 0.160 m. (g) Suppose the same system is released from rest at x = 0.240 m on a rough surface so that it loses 14.0 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?
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