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Math Word Problems

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#1. The pressure P of a compressed gas is inversely proportional to the volume V. If there is a pressure of 35 pounds per square inch when the volume of gas is 400 cubic inches, find the pressure when the gas is compressed to 100 square inches.

#2. A frictional force is necessary for a car to round a bend. The frictional force, F kilonewtons, varies directly as the square of the car's speed, V meters per second, and inversely as the radius of the bend, R meters. Write down a relationship between F, V and R.

  • Math Word Problems - ,

    pressure P varies inversely with the volume V ---> P = k/V
    when P=35, V - 400
    35 = k/400
    k = 35(400) = 14000
    so P = 14000/V

    I will assume you meant to say 100 cubic inches at the end of the first problem
    so when V = 100
    P = 14000/100 = 140

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