Solving 700N + 98N Weight Distribution Problem

AI Thread Summary
To solve the weight distribution problem, the total weight of 798 N (700 N from the rider and 98 N from the bike) is supported equally by two tires. Using the formula P = F/A, the area of contact for each tire can be calculated by rearranging it to A = F/P. The pressure in each tire is given as 7.55 x 10^5 Pa, leading to an area calculation of A = 798 N / 7.55 x 10^5 N/m^2, which results in an area of approximately 1.06 x 10^-3 m^2. However, the answer was marked incorrect by the webassign system, indicating a possible misunderstanding in the application of the formula or the distribution of forces. Further clarification on the calculation method or pressure distribution may be needed to resolve the discrepancy.
BoogieL80
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I'm working on the following problem:

<i> A person who weighs 700 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 7.55 105 Pa, what is the area of contact between each tire and the ground?<i>

The equation that I'm trying to incorporate is P = F/A where P equals pressure, F equals perpendicular force and A equals area. So I figured that since the tires are supporting the entire weight of the bike and man, the combined force that would be used in this problem would be 798N. So I rearranged the formula to equal A = F/P. So I said 798N / 7.55E5 N/m^2 would equal 1.06E-3m^2. Of course webassign says that my answer is incorrect. Any constructive help would be appreciated.
 
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"each tire and the ground" , not "both tires".
 
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