A horizontal rope is tied to a 54.0 box on frictionless ice. What is the tension in the rope if:?

a)the box is at rest?

b)the box moves at steady Vsubx=5.00 m/s

c)The box vsubx = 5.00 and asubx = 4.20 ?

1 Answer

  • I assume the rope is pulling the box.

    a) There is no pulling force acting on the box, so T = 0

    b) Since the motion is uniform and frictionless, there is still no force acting on the box, so again T = 0

    c) There is a pulling force which causes the acceleration.

    According to Newton’s law

    T = ma = 54.0 x 4.20 = 227 N

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