The drawing shows three situations in which a block is attached to a spring. The

Question

The drawing shows three situations in which a block is attached to a spring. The position labeled "0 m" represents the unstrained position of the spring. The block is moved from an initial positionx0to a final positionxf, the magnitude of the displacement being denoted by the symbols. Suppose the spring has a spring constant ofk=41.8N/m.Using the data provided in the drawing, determine the total work done by the restoring force of the spring for each situation. In the case of zero put your result as "+0".

Explanation / Answer

(a) the work done in streching the spring from +1.00to + 3.00 m will be W = (1 / 2) k (xo2 -xf2) = (1 / 2) (40.1 N/m)[(1.00 m)2 - (3.00 m)2] = ....... J (b) the work done in streching the spring from-3.00 to + 1.00 m will be W = (1 / 2) k (xo2 -xf2) = (1 / 2) (40.1 N/m)[(- 3.00 m)2 - (1.00 m)2] = ....... J (c) the work done in streching the spring from-3.00 to + 3.00 m will be W = (1 / 2) k (xo2 -xf2) = (1 / 2) (40.1 N/m)[(- 3.00 m)2 - (3.00 m)2] = ....... J

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