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What Have I Learned So Far? Solve the following problems. Write your answers on a separate sheet of paper. Show your complete solutions. 1. Consider a spring that is pulled by a force of 100.0 N to make it 0.02 m longer a. If the spring will be stretched further, determine the amount of work needed to make the spring longer by 0.03 m. b. If the spring will be compressed instead, how much work needs to be done to it so that it will be shorter by 0.01 m from its original length? 2. A 10-kg crate is moving along a frictionless surface at a rate of 5.0 m/ s. It comes in contact with a spring that has a force constant of 50.0 N/ cm. a. What is the maximum compression (or elongation) of the spring? b. How much force does the spring exert on the box at its maximum compression