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**Problem**: A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P8.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if(a) the horizontal surface is frictionless and(b) the coefficient of friction between block and surface is µk = 0.350.

###### FREE Expert Solution

###### FREE Expert Solution

In this problem, we'll apply energy conservation to determine the velocity of the mass at the equilibrium position.

Spring potential energy:

$\overline{){{\mathbf{U}}}_{{\mathbf{s}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{k}}{{\mathbf{x}}}^{{\mathbf{2}}}}$

###### Problem Details

A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P8.15. The block is pulled to a position x_{i} = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if

(a) the horizontal surface is frictionless and

(b) the coefficient of friction between block and surface is µ_{k} = 0.350.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Springs & Elastic Potential Energy concept. You can view video lessons to learn Springs & Elastic Potential Energy Or if you need more Springs & Elastic Potential Energy practice, you can also practice Springs & Elastic Potential Energy practice problems .

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Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.

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