Final answer:
The problem involves a hollow cylinder being wound by a rope and pulled with a force. To calculate the angular velocity of the cylinder after a certain distance of cord has been removed, we can use the work-energy theorem.
Step-by-step explanation:
When a rope is wound around a hollow cylinder and pulled with a force, the cylinder experiences a torque which causes it to rotate. This is an example of a rotational motion problem in physics.
In this case, the force applied to the rope is 40 N. To calculate the angular velocity of the cylinder, we can use the work-energy theorem. The work done by the force is equal to the change in rotational kinetic energy of the cylinder.
The work done is given by the equation:
Work = Torque * Angle
where Torque = Force * Radius of the cylinder and Angle = Distance of the cord removed / Radius of the cylinder.
Using the given radius and force, we can calculate the torque. Then, using the work-energy theorem, we can calculate the change in rotational kinetic energy and find the angular velocity of the cylinder after 5.0 m of cord have been removed.