A person of weight 820 N stands on one leg. The area of the foot in contact with the floor is 1.4 X 10^-2 m^2
a. Calculate the pressure exerted by the foot on the ground.
b. Explain what would happen to the pressure exerted on the floor if the person stands on tiptoe on one leg.
Nothing will happen
To calculate the pressure exerted by the foot on the ground, we can use the formula:
Pressure = Force/Area
a. The force exerted by the person's weight is given as 820 N, and the area of the foot in contact with the floor is given as 1.4 x 10^-2 m^2. Plugging these values into the formula, we get:
Pressure = 820 N / (1.4 x 10^-2 m^2)
Simplifying the equation, we have:
Pressure ≈ 58571.43 Pa (Pascals)
b. When a person stands on tiptoe on one leg, the area of contact with the floor decreases significantly. This means that the denominator in the pressure equation, the area, becomes smaller. Therefore, as the area decreases, the pressure exerted on the floor increases. In other words, the pressure exerted on the floor would increase if the person stands on tiptoe on one leg.
a. To calculate the pressure exerted by the foot on the ground, we can use the formula:
Pressure = Force / Area
Given that the weight of the person is 820 N and the area of the foot in contact with the floor is 1.4 × 10^-2 m^2, we can substitute these values into the formula:
Pressure = 820 N / 1.4 × 10^-2 m^2
Using this calculation, we can determine the pressure exerted by the foot on the ground.
b. When a person stands on tiptoe on one leg, the area of the foot in contact with the floor decreases. As a result, the pressure exerted on the floor increases. This is because pressure is directly proportional to force and inversely proportional to the area.
When standing on tiptoe, the person is still exerting the same amount of force (weight) on the ground, but this force is now distributed over a smaller area. Therefore, the pressure exerted on the floor increases.
To calculate the new pressure, you would need to know the new area of the foot in contact with the floor. Using the same pressure formula as before, you can divide the person's weight by the new, smaller area to calculate the new pressure.