Question

a cat stands on a scale and finds its weight to be 4.0 kilograms. If the weight exerted by all four of its paws on the scale is .25 kilograms per square centimeter, what is the area of one of its paws in square centimeters?

Answer 1

`\\\\4 cm^2`

Step-by-step explanation:

Given that:

a cat stands on a scale and finds its weight to be 4.0 kilograms.

thus; the Force F the cat exerted on the scale = 4.0 kg

If the weight exerted by all four of its paws on the scale is .25 kilograms per square centimeter

i.e the Pressure P exerted by all the four paws weighs = 0.25 kg/cm²

Then:

`(F)/(A)= P`

`(4.0 \ kg)/(A)= (0.25 \ kg )/(1 \ cm^2)\\\\\\(4.0 \ kg)/(A)= {0.25 \ kg/cm^2 }\\\\4.0 \ kg = 0.25 \ A \ \ kg/cm^2\\\\\\A = (4 kg)/(0.25 kg /cm^2 )\\\\A = 16 cm^2\\`

The total area of the cat's paws is = 16 cm^2

Since a cat have 4 paws; the determine the area of one of its paws in square centimeters; we have ⇒
`(16 \ cm^2)/(4) = 4 \ cm^2`