Name: Student ID: 2. Wario, an evil Mario impersonator, has been collecting POW blocks for an evil scheme. However, POW blocks are heavy and he'd like to devise some sort of machine to move the POW blocks up a small hill toward his evil base. To accomplish this task, Wario buys a high power fan from his local item shop and uses it to push the block up the hill. The fan exerts some force Fran to the right along the block's path as depicted below. A constant frictional force equal to (Ff.1 = } . F,) acts along the horizontal leg of the path and a slightly smaller fictional force (F12 = 3 . F,) acts along the sloped portion. A diagram of the scenario is shown below. V, = 0 m/s POW v. = 0 m/s POW (3/4) L (a) Assuming the block starts and stops from rest as indicated in the above cartoon, what is the force of the fan Fran in terms of the mass of the block m and g? Write an expression relating the Fran to F, (i.e. Fran = # . F;). (4 pts) (b) Write an expression for the block's maximum speed Umar. What variables does the speed depend on? (Hint: think about where the speed should be maximum. Where is there net work done on the block?) (3 pts) (c) 1 POW block has a mass of m = 25kg and the length L is given as 1.5m. i. If Wario puts Pran = 4W of power into his fan, how long will it take him to get 10 POW blocks to the top of the hill? (1.5 pts) ii. The total work Wy,for that both frictional forces remove from the blocks is stored within the blocks as "POW potential energy" (APEpow). If a POW block can release all of its stored energy in an explosive At = 0.2s, what is the total power (Prow) for a single POW block? (1.5 pts)