Find the magnitude of the friction force that acts on the package. Assume for the remainder of this problem that the +x direction points down along the surface of the incline, and the +y direction points away from the incline perpendicularly. Using the general energy equation for the motion of the package between the initial and the lowest point, find the distance that the spring is compressed when the package is at its lowest point. Calculate the instant net force exerted on the package at its lowest point.  Using the general energy equation for the motion of the package between the lowest and the final points, find how close the package is to its original position.  Calculate the change in internal energy for the package’s trip down and back up the incline.

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Find the magnitude of the friction force that acts on the package. Assume for the remainder of this problem that the +x direction points down along the surface of the incline, and the +y direction points away from the incline perpendicularly.
Using the general energy equation for the motion of the package between the initial and the lowest point, find the distance that the spring is compressed when the package is at its lowest point.
Calculate the instant net force exerted on the package at its lowest point. 
Using the general energy equation for the motion of the package between the lowest and the final points, find how close the package is to its original position. 
Calculate the change in internal energy for the package’s trip down and back up the incline.
 
 
m
D
0 =
53.1°
%3D
Transcribed Image Text:m D 0 = 53.1° %3D
A package of mass m = 2.00 kg is released on a 53.1°
incline, a distance D = 5.00 m from a long spring with
force constant 1.10 × 10² N/m that is attached at the
bottom of the incline (Figure 1). The coefficients of friction
between the package and incline are µs = 0.400 and
Luk = 0.200. The mass of the spring is negligible. (a)
Transcribed Image Text:A package of mass m = 2.00 kg is released on a 53.1° incline, a distance D = 5.00 m from a long spring with force constant 1.10 × 10² N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are µs = 0.400 and Luk = 0.200. The mass of the spring is negligible. (a)
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