Question

2) A ball is dropped from rest at a height H. At height h (below H) the ball bounces off a surface with no loss in speed. The surface is tilted at 45°, so the ball bounces off horizon- tally. Derive an expression for the distance the ball travels in the horizontal direction. Plot the distance traveled in the horizontal direction as a function of h where h varies between O and H. 3) Imagine an infinitely long ramp. The ramp is at an incline 0relative to the hori- zontal. A ball is placed on the ramp (at rest) and allowed to roll down. After the ball travels a distance D along the ramp the ball encounters a smaller second ramp (this is like a ski jump). The second ramp makes and angle 62 relative to the incline. The second 3 ramp launches the ball (just like a ski jump). Derive an expression for the distance the ball travels along the ramp from when it is launched to when it hits the ramp. Just to be clear 0 < </2 and 0 <0, </2.
please explain the answer

Answer 1

som let a A Normal, 450 H h we can apply conservation to 451 45. 4590 K x -) C Ex = mgh Н. m- man ball drops from. Point A Shikle at point B (H-h) with velocity.us As conservative foru are only acting uf Mechanical energj (ME) EB = mght I mush sof ball) EA =EB =) U tg h = gt VBE √ 2g (H1-h) Since there is no logso of energy bull will reflect horizontally with velocity UB. time to fall to point c from point B is at ſah So horizental distance Dc = UB ot ܟܘ - V h = t gat² g tu ao Dc = 2 JH (H-h) at h=0 DC =2H 2H J2H at h=H, Dc=o. DC at h=H DC = H2 2 Н J