I need help with these

A firefighter with a weight of 771 N slides down a vertical pole with an acceleration of 3.11 m/s2, directed downward. What are the magnitudes and directions (choose the positive direction up) of the vertical forces (a) on the firefighter from the pole and (b) on the pole from the firefighter? (a) Number i Units (b) Number i Units The high-speed winds around a tornado can drive projectiles into trees, building walls, and even metal traffic signs. In a laboratory simulation, a standard wood toothpick was shot by pneumatic gun into an oak branch. The toothpick mass was 0.170 g, its speed before entering the branch was 214 m/s, and its penetration depth was 17.0 mm. If its speed was decreased at a uniform rate, what was the magnitude of the force of the branch on the toothpick? Number i Units An elevator and its load have a combined mass of 2500 kg. Find the tension in the supporting cable when the elevator, originally moving downward at 11 m/s, is brought to rest with constant acceleration in a distance of 28 m. Number i Units In the figure, a crate of mass m = 100 kg is pushed at constant speed up a frictionless ramp (0 = 30.09) by a horizontal force F. m 2 A dated box of dates, of mass 5.00 kg, is sent up and to the right on a frictionless ramp at an angle of @ to the horizontal. The figure gives, as a function of time t, the component vx of the box's velocity along an x-axis that extends directly up the ramp to the right. What is the magnitude of the normal force on the box from the ramp? Vx (m/s) 2 t (s) -2 DRAW FREE BODY DIAGRAMSUsing a rope that will snap if the tension in it exceeds 387 N. you need to lower a bundle of old roong material weighing 449 N from a point 6.10 m above the ground. (a) What magnitude of the bundle's acceleration will put the rope on the verge of snapping? (b) At that acceleration, with what speed would the bundle hit the ground? The gure shows two blocks connected by a cord {of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. One block has a mass m1 = 1.30 kg: the other has mass m2 = 2.80 kg. What are (a) the magnitude of the blocks' acceleration and (b) the tension in the cord