Block A has a mass of mA = 137kg and is at rest at the bottom (i.e. at the origin) of a (frictionless) 17 peter long ramp, inclined at some angle inc. It is attached to block B, with mass my via a massless and inelastic string that passes up the ramp, over a massless and frictionless pulley, and then goes straight down to block B. Block B is initially at rest. When block B is released, it will fall down the side of the ramp and accelerate block A up the ramp. The instant that block A reaches the top of the ramp, the string breaks and the pulley falls away, allowing block A to be launched off of the ramp. 1. [8 points, 25%] Block A is launched launched off of the ramp with an initial velocity of Ui = (23, 29) m/s. Determine the following: i The magnitude of the launch velocity and the angle at which it was launched. ii The height above the ground from which block A launches. iii The horizontal position from which block A launches. iv The horizontal velocity of the block when it lands. v The maximum height above the ground achieved by the block. vi The acceleration of the block two-thirds of the way through its trajectory. vii The total travel time of the block. viii The total horizontal distance travelled by the block. 2. [5 points, 25% We would now like to determine the mass of block B needed such that block A leaves the ramp with the launch velocity stated in the previous problem so it is able to travel the horizontal distance just determined. We shall do it in steps. i If block a takes 0.918 seconds to travel up the ramp, determine the magnitude of its average acceleration. ii Draw a Free Body Diagram for block A while it's moving up the ramp. iii Draw a Free Body Diagram for block B as it's falling down. iv Using Newton's 2"d of Motion, setup the equations for blocks A & B. v Using the value you determined for the magnitude of block A's acceleration, solve the equations you just set up for the mass of block B needed to achieve that acceleration magnitude