1. A 10 kg at a mail facility slides down a 10 meter sorting chute. The height of the chute is 2 meters. The speed of the package at the top of the chute is 5 m/s, and it is moving at 3 m/s when it reaches the bottom. Let g = 10 m/s? a. What is the change in the kinetic energy of the package when it slides down the chute? Be careful with the sign (+/-)! M 10 m 2m 9.8 m

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Chapter1: Units, Trigonometry. And Vectors
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1. A 10 kg at a mail facility slides down a 10 meter sorting chute. The
height of the chute is 2 meters. The speed of the package at the
top of the chute is 5 m/s, and it is moving at 3 m/s when it
reaches the bottom. Let g = 10 m/s?
a. What is the change in the kinetic energy of the package when
it slides down the chute? Be careful with the sign (+/-)!
M
10 m
2m
9.8 m
b. Determine whether the work done by gravity and the normal force on the package is positive, negative, or zero.
Hint: Draw each force vector and displacement vector with their tails together. Think about angle between the
force and displacement.
Gravity:
Normal Force:
c. What is the work done by gravity as the package slides down the chute? Be careful with the sign (+/-)
d. How much mechanical energy became thermal energy during this process, i.e., what is AEherm? Use the work-
energy relation with friction: AKE + AE,herm = Wext.
e. What is the magnitude of the frictional force?
f. What is the coefficient of kinetic friction between the package and the chute?
Transcribed Image Text:1. A 10 kg at a mail facility slides down a 10 meter sorting chute. The height of the chute is 2 meters. The speed of the package at the top of the chute is 5 m/s, and it is moving at 3 m/s when it reaches the bottom. Let g = 10 m/s? a. What is the change in the kinetic energy of the package when it slides down the chute? Be careful with the sign (+/-)! M 10 m 2m 9.8 m b. Determine whether the work done by gravity and the normal force on the package is positive, negative, or zero. Hint: Draw each force vector and displacement vector with their tails together. Think about angle between the force and displacement. Gravity: Normal Force: c. What is the work done by gravity as the package slides down the chute? Be careful with the sign (+/-) d. How much mechanical energy became thermal energy during this process, i.e., what is AEherm? Use the work- energy relation with friction: AKE + AE,herm = Wext. e. What is the magnitude of the frictional force? f. What is the coefficient of kinetic friction between the package and the chute?
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