of k = 700 N/m. A block of mass m = 1.10 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. The left end of a horizontal spring is attached to a vertical wall, and the right end is attached to a block of mass m. The spring has force constant k. Three positions are labeled along the spring, and the block is pulled to the rightmost position, stretching the spring. The leftmost position, the equilibrium position, is labeled x = 0. The middle position, halfway between the leftmost and rightmost positions, is labeled x = xi⁄2. The rightmost position is labeled x = xi. (a) The block is pulled to a position xi = 6.80 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.80 cm from equilibrium. J (b) Find the speed of the block as it passes through the equilibrium position. m/s (c) What is the speed of the block when it is at a position xi/2 = 3.40 cm? m/s

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 44P
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of k = 700 N/m. A block of mass m = 1.10 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below.

The left end of a horizontal spring is attached to a vertical wall, and the right end is attached to a block of mass m. The spring has force constant k. Three positions are labeled along the spring, and the block is pulled to the rightmost position, stretching the spring.
  • The leftmost position, the equilibrium position, is labeled x = 0.
  • The middle position, halfway between the leftmost and rightmost positions, is labeled x = xi⁄2.
  • The rightmost position is labeled x = xi.
(a) The block is pulled to a position xi = 6.80 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.80 cm from equilibrium.
 J

(b) Find the speed of the block as it passes through the equilibrium position.
 m/s

(c) What is the speed of the block when it is at a position xi/2 = 3.40 cm?
 m/s
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