Question

crate A exerts a force of 8320N and a pressure of 64N/cm2. crate B exerts a force of 9860N and a pressure of 29N/cm2. find the difference between the base areas of the crates in cm2

Answer 1

difference in base areas = 210 cm²

Explanation:

In order to calculate the difference in the base areas of the crates, we first need to find the base area of each crate.

To calculate the base area, we can use the formula for pressure and rearrange it to make area the subject:

`\boxed{Pressure = (Force)/(Area)}`

⇒
`Area = (Force)/(Pressure)`

Therefore:

•Base area of crate A =
`\mathrm{(8320 \ N)/(64 \ N/cm^2)}`

= 130 cm²

• Base area of crate B =
`\mathrm{(9860 \ N)/(29 \ N/cm^2)}`

= 340 cm²

Now that we know the base areas of each crate, we can easily calculate the difference between them:

difference = 340 cm² - 130cm²

= 210 cm²