A man exerts a pressure of 2.8 * 10³Nm^-2 on the ground and has 4 * 10^-2m² of his feet in contact with the ground. The weight of the man is?
force (weight) is the product (multiplication) of the pressure and the area
To calculate the weight of the man, we can use the formula:
Weight = Pressure * Area
Given that the pressure exerted by the man on the ground is 2.8 * 10³ Nm^-2 and the area of his feet in contact with the ground is 4 * 10^-2 m², we can substitute these values into the formula to find the weight.
Weight = (2.8 * 10³ Nm^-2) * (4 * 10^-2 m²)
First, let's simplify the units by converting Nm^-2 to N/m²:
Weight = (2.8 * 10³ N/m²) * (4 * 10^-2 m²)
Now, multiply the numbers:
Weight = 11.2 * 10³ * 10^-2 (N/m² * m²)
Weight = 11.2 * 10³-2 N
Simplify the exponent:
Weight = 11.2 * 10^1 N
Finally, calculate the result:
Weight = 112 N
Therefore, the weight of the man is 112 Newtons.