CONCEPTUAL and Kathleen, star bo Speeds on two water slides. Two water slides at

Question

CONCEPTUAL and Kathleen, star bo Speeds on two water slides. Two water slides at a pool are shaped differently, but start at the same height h (Fig. 9). Two riders, Paul kaleen, start from rest at the same time on different slides. (a) Which rider aul or Kathleen, is traveling faster at the bottom? (b) Which rider makes it to the EXAMPLE 5 ttom first? Ignore friction and assume both slides have the same path length. RESPONSE (a) Each rider's initial potential energy mgh gets transformed to kinetic w2 = migh. The mass energy, so the speed u at the bottomn is obtained from m cancels and so the speed will be the same, regardless of the mass of the rider. Since they descend the same vertical height, they will finish with the same speed.(b) Note that Kathleen is consistently at a lower elevation than Paul at any instant, until the end. This means she has converted her potential energy to kinetic energy earlier. Consequently, she is traveling faster than Paul for the whole trip, and because the distance is the same, Kathleen gets to the bottom first.

Explanation / Answer

Here paul,kathleen are started at same time having same path as the conversion of energy from gravitational potational energy to kinetic energy

mgh=1/2mv^2

v= squreroot(2gh)

Given that kathleen at lower elevation so the accerelation due to gravity will be more than paul at higher elevation, we know that accerelation due to gravity decreases as we go higher.

If g is more consequently kathleen will resch first than first because same path lenght.

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