A horizontal rope is tied to a 54.0 box on frictionless ice. What is the tension in the rope if:?
A horizontal rope is tied to a 54.0 kg box on frictionless ice. What is the tension in the rope under the following conditions:
a) when the box is at rest?
b) when the box moves at a steady velocity of ( V_x = 5.00 \, \text{m/s} )?
c) when the box moves at ( V_x = 5.00 \, \text{m/s} ) and has an acceleration of ( a_x = 4.20 \, \text{m/s}^2 )?
1 Answers
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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