A person who weighs 625 N is riding a 98 N mountain bike. Suppose the entire...

A person who weighs 625 N is riding a 98 N mountain bike. Suppose the entire weight of the rider and bike is supported equally by the two tires. If the gauge pressure in each tire is 7.60 x 10 power of 5 Pa, what is the area of contact between each tire and the ground?

Expert Solution

The total weight of the person and the bike is $W=625+98=723 \mathrm{~N}$

The force $\mathrm{F}$ on the two tires are equal since it is supportedlyequally. Then the force on each of the tire is $F+F=W$

$2 \mathrm{~F}=723$

$\mathrm{F}=361.5 \mathrm{~N}$

The force $F=P A$ $A=\frac{F}{P}=\frac{361.5}{7.60^{*} 10^{5}}=4.76 \times 10^{-4} m^{2}$

So the area of contact is $4.76^{*} 10^{-4} \mathrm{~m}^{2}$.

genius_generous answered 2 years ago

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