Question

A person who weighs 864 N is riding a 85-N mountain bike. Suppose the entire weight of the rider plus bike is supported equally by the two tires. If the gauge pressure in each tire is 7.90 x 105 Pa, what is the area of contact between each tire and the ground?

Answer 1

A=60.06 x 10⁻⁵ m²

Step-by-step explanation:

Given that

Weight of the person = 864 N

Weight of the bike = 85 N

The total weight ,car + bike ,Wt= 864 + 85 N

Wt = 949 N

2 p = 949 N

The weight on the each tire(F) = 474.5 N

P = 7.9 x 10 ⁵ Pa

We know that

Force = Pressure x Area

F= P A

By putting the values

474.5 = 7.9 x 10 ⁵ A

A=60.06 x 10⁻⁵ m²

Therefore area of contact A

A=60.06 x 10⁻⁵ m²