Calculate the Area of Snowshoes for Santa's Elves
Calculation of Snowshoe Area:
Given:
Mass of the elf (m) = 45kg
Pressure on the snow (P) = 735N/m²
Gravitational field strength (g) = 9.8N/kg
Formula:
Pressure (P) = Force (F) / Area (A)
Force (F) = mass (m) Ã gravitational field strength (g)
Area (A) = Force (F) / Pressure (P)
Calculation:
1. Calculate the force exerted by the elf:
F = 45kg à 9.8N/kg = 441N
2. Use the rearranged formula for area:
A = 441N / 735N/m² = 0.6 m²
By calculating this, we find that the area of the snowshoes is 0.6 m², allowing the elf to stand on the snow without sinking.