To compare the pressure exerted by the girl and the elephant, we can calculate the pressure using the formula:
Pressure = Force / Area
For the girl standing on the pencil heel:
Weight of the girl = 50 kg
Area of cross section of the pencil heel = 1 cm²
Since pressure is force per unit area, the force exerted by the girl can be calculated using her weight:
Force = Weight × Acceleration due to gravity
= 50 kg × 9.8 m/s² (approximate value for acceleration due to gravity)
Now we can calculate the pressure exerted by the girl:
Pressure = Force / Area
= (50 kg × 9.8 m/s²) / (1 cm²)
= (50 kg × 9.8 m/s²) / (0.0001 m²) (since 1 cm² = 0.0001 m²)
For the elephant standing on the floor:
Weight of the elephant = 200 kg
Area of cross section of the elephant's foot = 250 cm²
Similarly, we can calculate the pressure exerted by the elephant:
Pressure = (200 kg × 9.8 m/s²) / (250 cm²)
= (200 kg × 9.8 m/s²) / (0.025 m²) (since 250 cm² = 0.025 m²)
By comparing the pressures exerted by the girl and the elephant, we can determine which one exerts a higher pressure.