The skater produces a pressure of 500 kPa, find the mass of the skater if the skates are 40 cm long and 3 mm wide.

Given:

P = 500 kPa = 500000 Pascal – the pressure that the skater produces on the surface;

l = 40 centimeters = 0.4 meters – length of the blade of the skates;

b = 3 millimeters = 0.003 meters – blade width of the skates;

g = 10 meters per second squared – gravitational acceleration (constant near the earth’s surface).

It is required to determine m (kilogram) – the mass of the skater.

Find the area of ​​the skate blade:

s = l * b = 0.4 * 0.003 = 0.0012 square meters.

Then the force with which the skater presses on the surface is equal to:

F = P * s = 500000 * 0.0012 = 600 Newton.

The mass will be equal to:

m = F / g = 600/10 = 60 kilograms.

Answer: The mass of a skater is 60 kilograms.