A spring compressed by 0.10 m from its rest length launches 0.53-kg block (starting at rest) along a rough horizontal surface with the coefficient of kinetic friction 0.24. If the spring constant is 515 N/m, how far will the block slide from its initial position?

Explanation:

Given

Spring is compressed by 0.1 m from its rest length

Mass of block is 0.53 kg

The coefficient of kinetic friction is

Spring constant

Here, the spring energy is consumed against work done by friction force

Friction force acting on the mass is

Writing Elastic potential energy equals work done by friction force

So, the block will slide up to a distance of

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explanation:

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