Simple Mass Spring System Homework: Finding Distance, Work, and Power

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SUMMARY

The discussion focuses on solving a mass-spring system problem involving a spring constant of 27 N/m and a 7 kg block. The block compresses the spring by 0.15 m on a frictionless surface before encountering a kinetic friction coefficient of 0.55. Key calculations include determining the distance the block slides before stopping, the work done by the spring, and the power dissipated by friction. Conservation of energy principles are essential for finding the initial velocity of the block as it is launched by the spring.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Knowledge of kinetic friction and its effects on motion
  • Familiarity with conservation of energy principles
  • Basic concepts of work and power in physics
NEXT STEPS
  • Calculate the initial velocity of the block using conservation of energy
  • Determine the distance the block slides using kinematic equations
  • Compute the work done by the spring using the formula W = 0.5 * k * x^2
  • Analyze power dissipation due to friction using P = F_friction * v
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Students studying physics, particularly those focusing on mechanics and energy systems, as well as educators looking for practical examples of mass-spring dynamics.

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Homework Statement



consider a mass spring system mounted on a horizontal surface. The left end of the spring is rigidly mounted, and the spring constant is 27 N/m. A block with a mass of 7 kg is placed on the right side of the spring and compresses the spring a distance of .15 m. The region on the horizontal surface under the spring from the barrier on the left side to the equilibrium length of the spring is frictionless. The region of the horizontal surface to the right of the equilibrium length of the spring has a coefficient of kinetic friction equal to .55.
A. How far does the block slide before it stops?
B. How much work is done on the block by the spring? How much work is done on the block by friction?
C. What is the power dissipated by friction?

Homework Equations

The Attempt at a Solution

 
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I'm thrown off because I don't have the velocity of the block as it starts from rest and is launched by the spring. Do I use conservation of energy?
 
Harshmau5 said:
Do I use conservation of energy?
That's a good start.
 

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