Final answer:
The pressure exerted by a boy weighing 60 kg standing on one foot, with the sole area of 150 cm², is calculated using the formula for pressure, resulting in 39,200 pascals (Pa).
Step-by-step explanation:
To calculate the pressure exerted by a boy weighing 60 kg standing on one foot, with the area of the sole of his shoe being 150 cm², we use the formula for pressure (P):
P = F / A,
where P is the pressure, F is the force (in this case, due to weight), and A is the area over which the force is distributed.
Firstly, we convert the weight of the boy to force (using the acceleration due to gravity, 9.8 m/s²) and the area from cm² to m² for consistency in units:
F = mass × gravity = 60 kg × 9.8 m/s² = 588 N
A = 150 cm² × (0.01 m/cm)² = 0.015 m²
Then we calculate the pressure:
P = 588 N / 0.015 m² = 39,200 Pa
This means the pressure exerted by the boy standing on one foot is 39,200 pascals (Pa).