A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (? = 100 N/m) at point A. It was released and started moving along the horizontal surface (µk = 0.2) until it moves up along the inclined surface (µk = 0.3). The box then stops at point D alone the incline. Consider that e = 30 m and θ = 30. Kindly answer only a and b. Please include necessary FBD for each item. (a) What is the velocity of the box at point B?) (Ans: 25.24 m/s) (b) What is the change in kinetic energy from point B to point C? (Ans.: −5.88 J)

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter8: Conservation Of Energy
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A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (? = 100 N/m) at point A. It was released and started moving along the horizontal surface (µk = 0.2) until it moves up along the inclined surface (µk = 0.3). The box then stops at point D alone the incline. Consider that e = 30 m and θ = 30.

Kindly answer only a and b. Please include necessary FBD for each item. 
(a) What is the velocity of the box at point B?) (Ans: 25.24 m/s)
(b) What is the change in kinetic energy from point B to point C? (Ans.: −5.88 J)

3. A box (mass = 100 g) is initially connected to a compressed (r = 80 cm) spring (k = 100
N/m) at point A. It was released and started moving along the horizontal surface (Hg = 0.2)
until it moves up along the inclined surface (ux = 0.3). The box then stops at point D alone
%3D
%3D
%3D
the incline. Consider that e = 30 m and e = 30°.
(a) What is the velocity of the box at point B?) (Ans: 25.24 m/s)
(b) What is the change in kinetic energy from point B to point C? (Ans.: -5.88 J)
(c) What is the velocity of the box at point C? (Ans.: 22.79 m/s)
(d) What is the length of the incline, f? (Ans. 34.88 m)
(e) What is the change in gravitational potential energy from point A to point D?
(Ans. 17.10 J)
WW m
e
ΑΒ
D
Transcribed Image Text:3. A box (mass = 100 g) is initially connected to a compressed (r = 80 cm) spring (k = 100 N/m) at point A. It was released and started moving along the horizontal surface (Hg = 0.2) until it moves up along the inclined surface (ux = 0.3). The box then stops at point D alone %3D %3D %3D the incline. Consider that e = 30 m and e = 30°. (a) What is the velocity of the box at point B?) (Ans: 25.24 m/s) (b) What is the change in kinetic energy from point B to point C? (Ans.: -5.88 J) (c) What is the velocity of the box at point C? (Ans.: 22.79 m/s) (d) What is the length of the incline, f? (Ans. 34.88 m) (e) What is the change in gravitational potential energy from point A to point D? (Ans. 17.10 J) WW m e ΑΒ D
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