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A mass of 261g is on a horizontal surface with mu_k=0.170, and is in contact wit

ID: 2280897 • Letter: A

Question

A mass of 261g is on a horizontal surface with mu_k=0.170, and is in contact with a lightweight spring with a spring constant of 661N/m which is compressed. When the spring is released, it does 7.44J of work on the mass while returning to its equilibrium position. Calculate the distance the spring was compressed. A mass of 261g is on a horizontal surface with mu_k=0.170, and is in contact with a lightweight spring with a spring constant of 661N/m which is compressed. When the spring is released, it does 7.44J of work on the mass while returning to its equilibrium position. Calculate the distance the spring was compressed.

Explanation / Answer

workdone by spring,

W = 0.5*K*A^2

==> A = sqrt(2*W/k)

= sqrt(2*7.44/661)

= 0.15 m

= 15 cm

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