Ski-Jump Ramp A 53 kg skier starts from rest at a height of hi = 22 m above the

Question

Ski-Jump Ramp A 53 kg skier starts from rest at a height of hi = 22 m above the end of the ski-jump ramp as shown in Fig. 10-38. As the skier leaves the ramp, his velocity makes an angle of 28° with the horizontal. Neglect the effects of air resistance and assume the ramp is frictionless.

Figure 10-38
(a) What is the maximum height hf of his jump above the end of the ramp?
1 m(b) If he increased his weight by putting on a backpack, would hf then be greater, less or, the same?

greater
the same
less

Explanation / Answer

PE = KE
mgh = 0.5mv^2
gh = 0.5v^2
v = (2gh)

= (2*9.81*22)

= 20.776 m/s

a) vertical speed = 20.776 sin(28)

= 9.754 m/s

2as = vf^2 - vi^2

s = (0^2 - 9.754^2)/(2*-9.81)

= 4.8492

4.85 m

b) since KE = PE, and KE is dependent on the height, therefore, mass does not change the speed since the mass is the same in both PE and KE. Thus, the hf will be the same.

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