The homogeneous sphere of mass m = 2.6 kg and radius r = 255 mm is placed on the incline of angle θ = 20° with no initial speed (v0 = 0), however, it has an initial clockwise angular velocity ω0 = 2.1 rad/s. if the coefficient of kinetic friction is μk = 0.16, determine the time duration t of the period of slipping. in addition, state the velocity v of the mass center g and the magnitude of the angular velocity ω at the end of the period of slipping.

A12-kg bag of groceries is tossed onto a table at 4.0 m/s and slides to a stop in 2.2 s . modify the equation fδt=δ (mv) to find the force of friction.

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.

If you put a helium-filled balloon in the refrigerator, what will happen?