Please answer my physics and other questions found on my profile I am in hurry

The 20@kg wheel has a radius of gyration about its center g of kg = 300 mm. when it is subjected to a couple moment of m = 50 n # m, it rolls without slipping. determine the angular velocity of the wheel after its mass center g has traveled through a distance of sg = 20 m, starting from rest.

If jerome is swinging on a rope and transferring energy from gravitational potential energy to kinetic energy, is being done.

What is the relationship between the direction of motion of the balloon and the wind currents