Question

A spring has spring constant k. One end is fixed, and the other end is attached to a mass m, which is free to move horizontally along a table. The mass slides over the table with a coefficient of friction The spring is compressed a distance d from its equilibrium point and released. When the spring is released, it will push the mass to the right, until it reaches some other distance dy past the equilibrium point dt a) How fast will the mass be traveling when it crosses the equilibrium point? Give your answer in terms of uk, d, m, and g. (10 points) i. b) Write down an expression for the work done by friction as the block slides from its starting point to the final position dy to the right of equilibrium. (10 points) c) Write down an equation in terms of μk, d, m, and g that unil let you solve for the dustance df You do not need to solve it. (15 points) d) What algebraic technique would you have to use to solve this equation for dy? (5 points)

Answer 1