A cart m1 with mass of 500 g rests on an inclined plane that makes an angle θ = 15° with the  horizontal. It is connected to a mass m2 with mass of 200g suspended vertically off the end of a  pulley as shown in the figure below. If the lead weight falls 85 cm, determine: (sin 15°≈ 0.259 ; cos 15°≈ 0.966) (a) The final speed of the system (b) The acceleration of the system (c) The tension in the string (Assume the string and pulley contribute negligible mass to the system and that friction is kept  low enough to be ignored.

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter5: Displacement And Force In Two Dimensions
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A cart m1 with mass of 500 g rests on an inclined plane that makes an angle θ = 15° with the 
horizontal. It is connected to a mass m2 with mass of 200g suspended vertically off the end of a 
pulley as shown in the figure below.
If the lead weight falls 85 cm, determine: (sin 15°≈ 0.259 ; cos 15°≈ 0.966)
(a) The final speed of the system
(b) The acceleration of the system
(c) The tension in the string
(Assume the string and pulley contribute negligible mass to the system and that friction is kept 
low enough to be ignored. 

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