(e) The students now use the same setups to launch blocks that are identical to each other but more massive than the original blocks. The blocks are made of the same material as the original blocks. Does this change in the mass of the blocks make it more likely or less likely that the block launched from table 1 goes farther than the block launched from table 2 does? Briey explain your reasoning. Q Please respond on separate paper, following directions from your teacher. Graph 1 Graph 2 0 Kinetic Energy of Block 0 Kinetic Energy of Block Horizontal Position Horizontal Position (f) Two students each try to sketch a graph of the kinetic energy of the block as a mction of its position from launch to the time the block reaches the edge of the table. Their graphs are shown above. Which graph best represents the kinetic energy of the block? Justify your selection. @ Please respond on separate paper, following directions from your teacher. k is the spring constant of the spring. m is the mass of the block. L is the distance the spring is compressed. PB (mu) is the coefficient of kinetic friction between the block and the tabletop. 3 is the distance between the launcher and the edge of the tabletop. Assume the spring is ideal, the plunger has negligible mass, the block loses contact with the plunger immediately after it reaches the end of the table, and there is non-negligible friction between the tabletops and the blocks. (a) Without manipulating equations, explain why the block launched from table 1 could land farther from the table than the block launched from table 2 does. @ Please respond on separate paper, following directions from your teacher. (b) Does the block launched from table I spend more, less, or the same amount of time in the air than the block launched from table 2 does? Explain your reasoning. @ Please respond on separate paper, following directions from your teacher. (c) Consider the Earth-block system. Determine the change, if any, in the total mechanical energy of the system from the instant the block leaves the table to the instant immediately before it reaches the ground. Q Please respond on separate paper, following directions from your teacher. The students correctly derive an equation for the horizontal distance D from the edge of the tabletop that the block lands, in terms of 8 (the distance between the launcher and the edge of the tabletop): D = t1!%(2Ls .92) 211.93, where t is the time interval between the instant the block leaves the table and the instant immediately before it reaches the ground. (d) Does this equation for D support your argument from part (a) that the block launched from table 1 could land farther from the table than the block launched from table 2? Briey explain why or why not. Figure 1 A spring-loaded launcher can be securer attached to a tabletop. When the spring is at its uncompressed length, the plunger is in the position shown above in Figure l. A small wood block can be pressed against the end of the plunger, conipEssiug the spring a distance L, as shown in Figure 2. When the block is released, the plunger pushes the block along the tabletop, Two pins are attached to the edge of the table to prevent the plunger 'om extending beyond the table. When the plunger hits the pins, the block then leave: the table. There is nonnegligihle friction between the block and the tabletop. [s is slightly less is is significantly than L} less than L] . . S = The launcher can be moved closer to or farther from the edge of the tabletop. Students set up tables 1 and 2, as shown above, with tabletops that are made of the same material. 0n table 1, the launcher is positioned so that the distance 3 = A between the launcher and the edge of the tabletop is slightly less than L. 0n table 2, the launcher is positioned so that the distance 3 = B between the launcher and the edge of the tabletop is sigicantlg less than L. On both tables, the block is released from rest and loses contact with the plunger at the moment the plunger reaches the pins. Tables 1 and 2 are the same height