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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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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