Show all work and circle your final answer. 1. You push on an 8.0 kg block as shown. The block has a coefficient of friction /4 = 0.30 with the floor and is moving to the right at the moment shown. 280 8.0 kg (a) If you exert 11.0 N on the block, what is its acceleration? (b) How much force would you need to exert to accelerate the block at 1.0 m/s?? 2. You place a block on flat board and gradually increase the inclination of the board until the block begins to slide. If the coefficient of static friction between the block and board is 0.50, what is the maximum angle at which the block will not slide? 3. In order to slow their falls, skydivers use parachutes to increase their cross-sectional area as they fall. We can model a parachute as approximately hemispherical (so that their cross-section is a circle as they fall). Assuming a drag coefficient of 0.50, what must the radius of a parachute be to ensure an 88 kg person has a safe terminal velocity of 5.0 m/s? You may ignore the mass of the parachute itself and assume air has a density of 1.2 kg/my. 4. A 73 kg cyclist with cross-sectional area 0.64 m' and drag coefficient 0.90 coasts down a very long hill with a 110 incline. Calculate their maximum speed (terminal velocity), assuming they do not pedal and that friction is negligible. You may assume air has a density of 1.2 kg/ms. 5. A 74 kg mountain climber (drawn as a blue square, below) hangs stationary from a bungee cord on a steep incline of 75 (nearly a vertical wall). The bungee cord (drawn in red) has a Hooke constant of & = 450 N/m and is parallel to the incline. 750 If the climber has negligible friction with the incline, how much will the rope deform