A 60.0 kg woman slides down a waterslide with a height of 21.9 m. a.) Determine
ID: 1332031 • Letter: A
Question
A 60.0 kg woman slides down a waterslide with a height of 21.9 m. a.) Determine the speed of the woman as she reaches the bottom if the slides is frictionless b.) If the woman is clocked at 18.0 m/s at the bottom of the slide, find the work done on the woman by friction. A 60.0 kg woman slides down a waterslide with a height of 21.9 m. a.) Determine the speed of the woman as she reaches the bottom if the slides is frictionless b.) If the woman is clocked at 18.0 m/s at the bottom of the slide, find the work done on the woman by friction. A 60.0 kg woman slides down a waterslide with a height of 21.9 m. a.) Determine the speed of the woman as she reaches the bottom if the slides is frictionless b.) If the woman is clocked at 18.0 m/s at the bottom of the slide, find the work done on the woman by friction.Explanation / Answer
a) Apply energy conservation,
final kinetic energy = initial potential energy
0.5*m*v^2 = m*g*h
==> v = sqrt(2*g*h)
= sqrt(2*9.8*21.9)
= 20.72 m/s
b) Workdone by friction = change in mechaincal energy
= final mechanical energy - initail mechanical energy
= 0.5*m*v^2 - m*g*h
= 0.5*60*18^2 - 60*9.8*21.9
= -3157.2 J
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