Question

Alexa exerts a force of 560 N on the

ground, due to her weight.
a) When Alexa is wearing high-heeled
shoes, the total area of her shoes in
2
contact with the ground is 58 cm².
When she has bare feet, the total area of
her feet in contact with the ground is
230 cm².
2
Calculate the difference between the
pressure she exerts on the ground when
she is wearing these shoes and when she
has bare feet.
Give your answer in N/cm² to 1 d.p.

Answer 1

`\Delta P \approx 7.2 \ N/cm^2}`

Step-by-step explanation:

To calculate the difference in pressure that Alexa exerts on the ground when wearing high-heeled shoes compared to when she has bare feet, we can use the following formula for pressure:

`\rightarrow P=(F)/(A)`

Where:

• "F" is the force exerted in the ground.
• "A" is the area the force is applied to.

First, let's calculate the pressure when Alexa is wearing high-heeled shoes:

F = 560 N (given)

A = 58 cm² (given)

`P_h=(560)/(58)\\\\\\\\\therefore P_h \approx 9.655 \ N/cm^2`

Next, let's calculate the pressure when Alexa has bare feet:

F = 560 N (given)

A = 230 cm² (given)

`P_b=(560)/(230)\\\\\\\\\therefore P_h \approx 2.435 \ N/cm^2`

Finally, let's calculate the difference in pressure:

`\Delta P= P_h-P_b\\\\\\\\\Longrightarrow \Delta P =9.655-2.435\\\\\\\\\therefore \boxed{\boxed{\Delta P \approx 7.2 \ N/cm^2}}`

Therefore, the difference in pressure that Alexa exerts on the ground when wearing high-heeled shoes compared to when she has bare feet is approximately 7.2 N/cm².