A person has a mass of 50.0 kg. what is the pressure they exert on the blades of their ice skates if each skate blade is 15.0 cm long and 5.00 mm wide?
100.0 Kg for both skates
To calculate the pressure exerted by a person on the blades of their ice skates, we need to use the formula:
Pressure = Force / Area
First, let's calculate the area of one skate blade:
Area = Length x Width
= (15.0 cm) x (5.00 mm)
Now, we need to convert the units to make them consistent:
Area = (15.0 cm) x (5.00 mm) x (10 mm/1 cm)
= (15.0 cm) x (5.00 mm) / (1 cm/10 mm)
= (15.0 cm) x (5.00 mm) / (1)
= (15.0 cm) x (5.00 mm)
= 75.0 cm²
Next, we need to convert the mass of the person from kg to N (Newtons) since pressure is measured in N/m²:
Weight = Mass x Acceleration due to gravity
= 50.0 kg x 9.8 m/s²
= 490 N
Now, we can calculate the pressure:
Pressure = Force / Area
= Weight / Area
= 490 N / 75.0 cm²
= 490 N / 0.0075 m²
= 65,333.33 N/m²
Therefore, the person exerts a pressure of approximately 65,333.33 N/m² on the blades of their ice skates.