2. (5 points) A 2.5-kg box, sliding on a rough horizontal surface, has a speed of 1.2 m/s when it makes contact with a spring (see the figure). The block comes to a momentary halt when the compression of the spring is 4.0 cm. The work done by the friction from the instant the block makes contact with the spring until it comes to a momentary halt is -0.50 J. (Show all your work) What is the spring constant of the spring? What is the coefficient of kinetic friction between the box and the rough surface?
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5 \, \text{kg} \) - Initial speed of the box, \( v_i = 1.2 \, \text{m/s} \) - Compression of the spring, \( x = 4.0 \, \text{cm} = 0.04 \, \text{m} \) - Work done by friction, \( W_{\text{friction}} = -0.50 \, \text{J} \) Show more…
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