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Sloan [31]
3 years ago
5

What is the coefficient of friction between the skates and the ice?

Physics
1 answer:
natta225 [31]3 years ago
8 0

The coefficient of friction is 0.051

Explanation:

The motion of the skater is a uniformly accelerated motion, therefore we can use the following suvat equation:

v^2 - u^2 = 2as

where:

v = 0 is the final velocity of the skater (he comes to a stop)

u = 10.0 m/s is his initial velocity

a is the acceleration

s=1.0\cdot 10^2 m = 100 m is the distance he travels before stopping

Solving for a, we find the acceleration of the skater:

a=\frac{v^2-u^2}{2s}=\frac{0-10.0^2}{2(100)}=-0.5 m/s^2

We also know that the net force acting on the skater is the force of friction, therefore we can write (Newton's second law of motion):

F= ma = -\mu mg

where

-\mu mg is the force of friction

m is the mass of the skater

\mu is the coefficient of friction

a=-0.5 m/s^2 is the acceleration

g=9.8 m/s^2 is the acceleration of gravity

Solving for \mu, we find the coefficient of friction:

\mu = -\frac{a}{g}=-\frac{-0.5}{9.8}=0.051

Learn more about friction:

brainly.com/question/6217246

brainly.com/question/5884009

brainly.com/question/3017271

brainly.com/question/2235246

#LearnwithBrainly

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