Problem: A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (Figure 1). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. What is the coefficient of kinetic friction between the block and the tabletop? 

FREE Expert Solution

Elastic potential energy:

U=12kx2

Word done by a constant force:

W=Fd

Friction force:

f=μN=μmg

x = 0.20 m

d = 1.00 m

g = 9.8 m/s2 

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Problem Details

A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (Figure 1). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. What is the coefficient of kinetic friction between the block and the tabletop? 

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