1) A mass hangs from a light string of length 45 cm attached at its other end to the ceiling. If the mass is given an initial speed of 5 m/s, what is its speed when it reaches point A in its circular path (see Figure 1)?
2) A 2 kg block slides with initial speed 3 m/s at a height 1 m above ground down an irregularly shaped slope (see Figure 2). If the force of friction does -13 J of work, determine the speed of the block at the bottom of the slope.
3) During a vertical fall, a block's speed increases from 6 m/s to 8 m/s over a 3 m distance (see Figure 3). What percentage of the block's energy is dissipated due to air resistance over this distance?
4) A 1000 kg car accelerates from 10 m/s to 20 m/s in 2 seconds. Determine the net average power delivered to the car.
5) A 10 g bullet is fired at 200 m/s into a 1 kg block, after which they slide together 2 m on a horizontal surface (see Figure 5). Determine the coefficient of kinetic friction between the block and the surface.