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A gymnast of mass 67.0 kg 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/s2 for the acceleration of gravity.

Calculate in Newtons:

a. The tension T in the rope if the gymnast hangs motionless on the rope.
b. The tension T in the rope if the gymnast climbs the rope at a constant rate.

Respuesta :

Explanation:

Given that,

Mass of the gymnast, m = 67 kg

Acceleration due to gravity, [tex]a=9.81\ m/s^2[/tex]

(a) We need to find the tension T in the rope if the gymnast hangs motionless on the rope. In this case, the tension in the rope is equal to its weight. So,

[tex]T=mg\\\\T=67\times 9.81\\\\T=657.27\ N[/tex]

(b) In this case, we need to find the tension T in the rope if the gymnast climbs the rope at a constant rate. So, the value of acceleration, a = 0. So,

[tex]T=mg\\\\T=67\times 9.81\\\\T=657.27\ N[/tex]

Hence, this is the required solution.

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