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posted by  TAPI on 11/5/2009 2:47:17 AM  |  status: Closed  |  Earned Karma: 25

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Course Textbook Chapter Problem Needs by
Classical Physics College Physics (7th) by Serway, Faughn, Bennett 4 N/A 11/5/2009 at 6:00:00 AM
Question Details:
A]  A 40.0 kg wagon is towed up a hill inclined at 17.5° with respect to the horizontal. The tow rope is parallel to the incline and has a tension of 140 N. Assume that the wagon starts from rest at the bottom of the hill, and neglect friction. How fast is the wagon going after moving 76 m up the hill?
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posted by jerry2009 on 11/5/2009 3:06:53 AM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:

    Mass of the wagon, M = 40 kg

    Angle made with horizontal, θ = 17.5o

    Tension in the rope, F = 140 N

    Distance moved along the hill, S = 76 m

    Initial velocity, U = 0 m/s

    Net Force , Fnet = F - M g Sin θ

                              = 140 - ( 40 * 9.8 * 0.301 )

                              = 22.12 N

    Acceleration, a = Fnet / M

                            = 22.12 / 40

                            = 0.553 m/s^2

    V2 - U2 = 2 a S

    V2 - 0 = 2 * 0.553 * 76

    Final velocity, V = 9.17 m/s

   
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