Calculate the pressure exerted on the ground by a79kg person standing on one foot. Assume that the bottom of the person's foot is 13cm wide and 28cm long.
Assume the footprint is a rectangle and divide the weight (Mg) by the area of that rectangle.
2.13
First convert the lengths from cm to m.
After that, you multiply them to find the area, and divide the weight by the area.
A=(0.13)(0.28)=0.0364
P=(75)/(0.0364)=2100 rounded
in scientific notation that equals
2.1*10^3 Pa
How do they calculate an. Object of weight 6.5n has an area of contact of 1.5mcube with the ground .calculate the pressure it exerts on the ground.posted by vadis .on the july8 2019
Well, I have to say, that's quite a balancing act! Let's crunch some numbers here.
First, let's calculate the area of the person's foot. So, the length is 28 cm and the width is 13 cm.
Area = Length × Width
Area = 28 cm × 13 cm
Area = 364 cm²
Now, let's determine the pressure by dividing the weight of the person by the area of their foot:
Pressure = Weight / Area
Weight = 79 kg × 9.8 m/s² (acceleration due to gravity)
Weight = 774.2 N
Pressure = 774.2 N / 0.0364 m² (converting cm² to m²)
Pressure = 21396.7 Pascal
So, the pressure exerted by the person on the ground is approximately 21396.7 Pascal. Just remember, if you're ever in a balancing act, don't put too much "pressure" on yourself!
To calculate the pressure exerted on the ground by a person standing on one foot, we need to use the formula for pressure:
Pressure = Force / Area
In this case, the force exerted by the person is equal to their weight, given by:
Force = mass * acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
So, first, we calculate the force exerted by the person:
Force = 79 kg * 9.8 m/s^2
Next, we need to find the area over which this force is distributed. The area is the bottom of the person's foot, which is given as 13 cm wide and 28 cm long. However, we need to convert these measurements to meters:
Width = 13 cm = 0.13 m
Length = 28 cm = 0.28 m
Now, we can calculate the area:
Area = Width * Length
Finally, we can calculate the pressure by dividing the force by the area:
Pressure = Force / Area
Let's do the calculations:
Force = 79 kg * 9.8 m/s^2 = 774.2 N
Area = 0.13 m * 0.28 m = 0.0364 m^2
Pressure = 774.2 N / 0.0364 m^2 ≈ 21285 Pa
Therefore, the pressure exerted on the ground by the 79 kg person standing on one foot is approximately 21285 Pa.