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frozen [14]
3 years ago
6

In addition to their remarkable top speeds of almost 60 mph, cheetahs have impressive cornering abilities. In one study, the max

imum centripetal acceleration of a cheetah was measured to be 19 m/s^2. What minimum value of the coefficient of static friction between the ground and the cheetah's feet is necessary to provide this acceleration?
Physics
1 answer:
Sav [38]3 years ago
5 0

Answer:

the minimum value of the coefficient of static friction between the ground and the cheetah's feet is 1.94

Explanation:

Given that ;

the top speed of Cheetahs is almost 60 mph

In cornering abilities ; the maximum centripetal acceleration of a cheetah was measured to be = 19 m/s^2

The objective of this question is to determine the what minimum value of the coefficient of static friction between the ground and the cheetah's feet is necessary to provide this acceleration?

From the knowledge of Newton's Law;

we knew that ;

Force F = mass m × acceleration a

Also;

The net force  F_{net}  = frictional force \mu_k mg

so we can say that;

m×a = \mu_k mg

where;

the coefficient of static friction \mu_k is:

\mu_k = \dfrac{m*a}{m*g}

\mu_k = \dfrac{a}{g}

\mu_k = \dfrac{19 \ m/s^2}{9.81 \ m/s^2}

\mathbf{\mu_k} = 1.94

Hence; the minimum value of the coefficient of static friction between the ground and the cheetah's feet is 1.94

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