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 ?

Explanation:

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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