A block of mass m=2 kg, attached to a spring of stiffness k=30 N/m, is lying on a horizontal desk.
Initially, the spring is suppressed by A=10cm. When it is released, the block pushed by the spring
passes through the equilibrium position and extends the spring by 5 cm. What is the friction
coefficient between the block and the desk?
Have an exam in the morning so hopefully someone can explain this! (answer is 0.04)
Initially, the spring is suppressed by A=10cm. When it is released, the block pushed by the spring
passes through the equilibrium position and extends the spring by 5 cm. What is the friction
coefficient between the block and the desk?
Have an exam in the morning so hopefully someone can explain this! (answer is 0.04)
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let u be the friction coefficient between the block and the desk
stored energy in spring
= 0.5 * 30 * 0.1 ^2
= 0.15
stored energy after equilibrium position
= 0.5 *30 * 0.05^2
= 0.0375
friction force = u * 2g
work done by friction force
= u * 2g * 0.15
0.15 = 0.0375 + u * 2g * 0.15
u = 0.0382 ---answer
stored energy in spring
= 0.5 * 30 * 0.1 ^2
= 0.15
stored energy after equilibrium position
= 0.5 *30 * 0.05^2
= 0.0375
friction force = u * 2g
work done by friction force
= u * 2g * 0.15
0.15 = 0.0375 + u * 2g * 0.15
u = 0.0382 ---answer