How much more pressure does a 250 lb person exert on the ground than a 120 lb person if they are both standing on one foot with area 16 in2?

57.124.18 Pascals

Explanation:

The pressure that each person exerts on the ground is given by:

Pressure = force/area

The force that each person exert is given by:

Force = mass (kg) x acceleration due to gravity (10 m/s2)

1 lb = 0.4536 kg, hence;

250 lb person = 113.398 kg

120 lb person = 54.431 kg

Force exerted by the 250 lb person = 113.398 x 10 = 1133.98 kg/m2

Force exerted by 120 lb person = 54.431 x 10 = 544.31 kg/m2

16 inch2 = 0.0103226 m2

Pressure exterted by 250 lb person = 1133.98/0.0103226

                           = 109,854.11 pascals

Pressure exerted by 120 lb person = 544.31/0.0103226

                           = 52,729.93 Pascals

Difference in pressure = 109,854.11 - 52,729.93

                               = 57,124.18 Pascals

Hence, a 250 lb person will exert 57.124.18 Pascals pressure more than a person of 120 lb on a foot with a 16 inch2 area.

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