A package of mass m = 4.00 kg is released on a 53.1° incline, a distance D = 5.00 m from a long spring with force constant 1.30 x 102 N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are μ = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum compression of the spring? (b) The Figure m D 1 of 1 Part F 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. Express your answer with the appropriate units. ► View Available Hint(s) fk = Submit μA Value Units ? Review | Constants help
A package of mass m = 4.00 kg is released on a 53.1° incline, a distance D = 5.00 m from a long spring with force constant 1.30 x 102 N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are μ = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum compression of the spring? (b) The Figure m D 1 of 1 Part F 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. Express your answer with the appropriate units. ► View Available Hint(s) fk = Submit μA Value Units ? Review | Constants help
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incline, a distance D = 5.00 m from a long spring with
force constant 1.30 × 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
Mk
= 0.200. The mass of the spring is negligible. (a)
What is the maximum compression of the spring? (b) The
Figure
m
1 of 1
Part F
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.
Express your answer with the appropriate units.
View Available Hint(s)
fk =
Submit
μA
Value
Units
?
Review | Constants
help"
Transcribed Image Text:A package of mass m = 4.00 kg is released on a 53.1°
incline, a distance D = 5.00 m from a long spring with
force constant 1.30 × 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
Mk
= 0.200. The mass of the spring is negligible. (a)
What is the maximum compression of the spring? (b) The
Figure
m
1 of 1
Part F
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.
Express your answer with the appropriate units.
View Available Hint(s)
fk =
Submit
μA
Value
Units
?
Review | Constants
help

Transcribed Image Text:A package of mass m = 4.00 kg is released on a 53.1°
incline, a distance D = 5.00 m from a long spring with
force constant 1.30 × 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
Mk
= 0.200. The mass of the spring is negligible. (a)
What is the maximum compression of the spring? (b) The
Figure
m
1 of 1
Part G
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.
Express your answer with the appropriate units.
► View Available Hint(s)
Xmax =
Submit
0
HÅ
Value
Units
Review | Constants
?
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Step 1: Know the basic concepts:
VIEWStep 2: Draw a diagram and find the expression for the normal force:
VIEWStep 3: (f) Calculate the friction force:
VIEWStep 4: Find the initial total energy of the system.
VIEWStep 5: Find the total final energy of the system:
VIEWStep 6: (g) Calculate the maximum distance to which the spring is compressed;
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