3 A ski jumper slides down a ramp, starting from rest at an elevation H above ground, and leaves the bottom of the 2 ramp, at an elevation R, with an angle 0; with respect to the horizontal. Neglect friction and drag in all parts of this exercise (i.e. no energy is lost due to interactions with the ramp or the air). (a) Calculate the peak height of the skier's trajectory, hp. Check: For 0; = 45° you should find hp = (H+R)/2. (b) Calculate the angle 0 at which the skier will land. Express your result in terms of H, R and 0; only. Check: For 0; R = 45° and R = H/2 you'd find cos 01 = 1/2.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 8.34P: An electric scooter has a battery capable of supplying 120 Wh of energy. If friction forces and...
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5.3 A ski jumper slides down a ramp, starting from rest at an
elevation H above ground, and leaves the bottom of the 2
ramp, at an elevation R, with an angle 0; with respect to
the horizontal. Neglect friction and drag in all parts of this
exercise (i.e. no energy is lost due to interactions with the ramp
or the air).
(a) Calculate the peak height of the skier's trajectory, hp.
Check: For 0; = 45° you should find hp = (H+R)/2.
(b) Calculate the angle 0 at which the skier will land.
Express your result in terms of H, R and 0; only.
Check: For 0; =
hp
R
45° and R= H/2 you'd find cos 0 = 1/2.
Transcribed Image Text:5.3 A ski jumper slides down a ramp, starting from rest at an elevation H above ground, and leaves the bottom of the 2 ramp, at an elevation R, with an angle 0; with respect to the horizontal. Neglect friction and drag in all parts of this exercise (i.e. no energy is lost due to interactions with the ramp or the air). (a) Calculate the peak height of the skier's trajectory, hp. Check: For 0; = 45° you should find hp = (H+R)/2. (b) Calculate the angle 0 at which the skier will land. Express your result in terms of H, R and 0; only. Check: For 0; = hp R 45° and R= H/2 you'd find cos 0 = 1/2.
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