Force Problems with Motion Video Lessons

Concept

# Problem: A gymnast of mass 69.0 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 9.81 m/s2 for the acceleration of gravity.Calculate in Newtons:The tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 0.700 m/s2.

###### FREE Expert Solution

Newtons's second law:

$\overline{){\mathbf{\Sigma }}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

Take up to be positive.

Upward acceleration is positive.

mg acts downward.

###### Problem Details
A gymnast of mass 69.0 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 9.81 m/s2 for the acceleration of gravity.

Calculate in Newtons:

The tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 0.700 m/s2.