A gymnast of mass 53.0 kgkg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s29.81m/s2 for the acceleration of gravity. Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 0.900 m/s^2. Express your answer in newtons

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter4: The Laws Of Motion
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Problem 23P: A bag of cement weighing 325 N hangs in equilibrium from three wires as suggested in Figure P4.23....
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A gymnast of mass 53.0 kgkg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s29.81m/s2 for the acceleration of gravity. Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 0.900 m/s^2. Express your answer in newtons.

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mass of gymnast (m) = 53 kg g = 9.81 ms2downwards acceleration (a) = 0.9 ms2

 

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