Question

Asked Jul 17, 2019

A 10.8-kg block rests on a horizontal table and is attached to one end of a massless, horizontal spring. By pulling horizontally on the other end of the spring, someone causes the block to accelerate uniformly and reach a speed of 3.10 m/s in 1.39 s. In the process, the spring is stretched by 0.227 m. The block is then pulled at a *constant speed* of 3.10 m/s, during which time the spring is stretched by only 0.0801 m. Find **(a)** the spring constant of the spring and **(b)** the coefficient of kinetic friction between the block and the table.

Step 1

Draw the free body diagrams for the two cases of application of forces on the block as:

Step 2

Consider Case I and write the kinematic equation of motion for block which starts from rest to solve for acceleration of the block as:

Step 3

Substitute suitable values...

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