As shown in the figure, a 1.50 kg box is held at rest against a spring with a force constant k = 725 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μk = 0.47 and is 6.0 cm in length. (a) Calculate the spring's potential energy in terms of d d2 (b) Calculate the magnitude of the friction force (in N). N (c) Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer. J (d) The speed of the box is 1.9 m/s after sliding across the rough patch. Calculate the initial compression d (in cm) of the spring. cm

As shown in the figure, a 1.50 kg box is held at rest against a spring with a force constant k = 725 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μk = 0.47 and is 6.0 cm in length. (a) Calculate the spring's potential energy in terms of d d2 (b) Calculate the magnitude of the friction force (in N). N (c) Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer. J (d) The speed of the box is 1.9 m/s after sliding across the rough patch. Calculate the initial compression d (in cm) of the spring. cm

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Question

As shown in the figure, a 1.50 kg box is held at rest against a spring with a force constant k = 725 N/m that is compressed a distance d.

When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μ_k = 0.47 and is 6.0 cm in length.

(a)

Calculate the spring's potential energy in terms of d

d²

(b)

Calculate the magnitude of the friction force (in N).

(c)

Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer.

(d)

The speed of the box is 1.9 m/s after sliding across the rough patch. Calculate the initial compression d (in cm) of the spring.

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