You have been accepted into a boat building competition. You get to pick between two boat plans. Boat A's plans has the dimensions of 10cm wide and 85m long and exerts 2200Pa of pressure. Boat B's plans has the dimensions of 3m wide and 173m long and exerts 3100Pa of pressure. In order for the boat to float, the force applied to the water must not exceed 2.0x10^6N. Would you pick plan A or B?

Question

anonymous · Answer

So you know that the force the boat exerts cannot exceed 2.0*10^6N.  Consider that pressure is defined as follows:$$P=\frac{ F }{ A }$$where P is pressure; F is force; and A is area.  You can rewrite that equation to get:$$F=PA$$That should make it obvious what you need to do.
Keep in mind that pressure in your problem is given in units of Pascals (Pa).  A Pascal is defined as follows:$$1Pa=\frac{ 1 N }{ m ^{2} }$$so remember that when choosing which units to use.

anonymous · Answer

thank you...