Question

A woman wears flat shoes with heels with an area of 10cm², and weight is 500 Newton. Calculate the pressure of heel on floor​

Answer 1

Given :-

• Weight = 500 N
• Area = 10cm²

Answer :-

What is Pressure ?

Pressure is defined as the force acting per unit area. Pressure is exerted by objects on each other. Pressure exerted by the Atmosphere is called as the Atmospheric pressure, and pressure exerted by gases and liquids is called as fluid pressure.

$\boxed{ \sf Pressure = \dfrac{Force}{Area} }$

Weight :

$\boxed {\sf Weight = Mass \times Gravity \:Acceleration}$

Mass is a property of a physical body which is defined as it's resistance to the gravity's acceleration.

An object's mass may vary according to the acceleration magnitude.

Weight can be defined as the force exerted by a body due to it's mass. Hence here the force (which is the weight of the object) is given as 500 N. To find the pressure, we simply have to divide 500 N by 10cm²

By converting 10cm² to m²,

⇒ 10cm² = 0.001m²

$\implies \sf Pressure = \dfrac{500}{0.001}$

$\implies \sf Pressure = \dfrac{500 \times 1000}{0.001 \times 1000}$

$\implies \sf Pressure = \dfrac{500000}{1}$

$\implies \sf Pressure = 500000Pa$

$\implies \sf Pressure = 5 \times 10^{5}$

Note : The Standard unit of Pressure is Pascals.

∴ The pressure exerted by the heel on the floor is 5 × 10⁵ Pascals (50 Pa).

More to know :

Activity :

Let us take a plastic bottle filled with water for this experiment.

By piercing a hole in the plastic bottle, we notice that the liquid comes out of the bottle. This proves that : Liquids exert pressure on the walls of the container

When many holes are pierced in the bottom of the bottle, the liquid coming out of each hole is the same. Hence : Pressure exerted is the same at the same depth.

Take 2 tubes of different lengths. Tie a balloon at each end of the two tubes. Fill the tube with water. We observe that : As the height of the air column increases, the pressure exerted also increases.

Poke a few holes at different depths of a bottle filled with water. We observe that the water coming out, pour out at a different distances. The maximum distance travelled would have been from the bottom most hole. This proves that : Pressure exerted increases with increase in depth.