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16 August, 07:32

A horizontal rope is tied to a 57.0 kg kg box on frictionless ice. What is the tension in the rope if: You may want to review (Pages 135 - 137). Part A The box is at rest? Express your answer as an integer and include the appropriate units. T T = nothing nothing SubmitRequest Answer Part B The box moves at a steady v x vxv_x = 4.20 m/s m/s? Express your answer as an integer and include the appropriate units. T T = nothing nothing SubmitRequest Answer Part C The box v x vxv_x = 4.20 m/s m/s and a x axa_x = 5.80 m / s 2 m/s2?

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  1. 16 August, 09:47
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    A) The surface is frictionless. If the box is at rest, there will be no tension in the rope.

    B) In this case, the box is moving with steady rate of 4.20 m / s. In this case also no force is acting on the box so tension in the rope will be nil.

    C) In this case the box is moving with acceleration of 5.8 m / s² so force on the box = mass x acceleration

    = 57 x 5.8

    = 330.6 N.

    So tension in the rope will be equal to force acting on the rope. Hence tension = 330.6 N.
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