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Question 1 : When a person ice skates, the surface of the ice actually melts beneath the blades, so that he or she skates on

Question 1:
When a person ice skates, the surface of the ice actually melts beneath the blades, so that he or she skates on a thin sheet of water between the blade and the ice.
(a) Find an expression for total friction force on the bottom of the blade as a function of skater velocity V, blade length L, water thickness (between the blade
and the ice)h, water viscosity , and blade width W.
(b) Suppose an ice skater of total mass m is skating along at a constant speed of V0 when she suddenly stands stiff with her skates pointed directly forward,
allowing herself to coast to a stop. Neglecting friction due to air resistance, how far will she travel before she comes to a stop? (Remember, she is coasting on
two skate blades.) Give your answer for the total distance travelled, x, as a function of V0,m,L,h,, and W.
(c) Find x for the case where V0=4.0ms,m=100kg,L=30cm,W=5.0mm, and h=0.10mm. Do you think our assumption of negligible air resistance is a
good one?
(d) Write a python/MATLAB code for computing the distance x as a function of Vo and m, keeping all other parameters constant. Take six Vo values between 2
ms and 20ms, for six different people of m=50,60,80,110,130, and 150kg. Plot a three dimensional plot with m on the first axis, V0 as the second axis and
x as the third axis.
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