Question

Use the formula for pressure to determine the weight of a box that creates a pressure of 1,065 N/cm 2 when resting on a 17.0-cm 2 surface.
a) weight = 18,105 N
b) weight = 62.65 N
c) weight = 0.0160 N
d) weight = 10,400 N
(please explain your answer)

Answer 1

Force /Area = Pressure
Force = Pressure * Area
Force = 1065 * 17 = 18105 N

Answer 2

Answer: The weight of the box is 18,105 N

Explanation:

Pressure is defined as the amount of force exerted per unit area of surface.

Mathematically,

$\text{Pressure}=\frac{\text{Force}}{\text{Area}}$

We are given:

Pressure on the box = $1065N/cm^2$

Force exerted / Weight of the box = ?

Area of the box = $17.0cm^2$

Putting values in above equation, we get:

$1065N/cm^2=\frac{\text{Weight of the box}}{17.0cm^2}\\\\\text{Weight of the box}=(1065N/cm^2\times 17.0cm^2)=18,105N$

Hence, the weight of the box is 18,105 N